Use this page to find all resources aligned with a particular North Carolina state standard. Simply input the standard, using dot notation, highlight it when it shows up on the dropdown list, and press Apply. You'll see a complete list of all Media4Math resources aligned with that standard.Download your standards report as a CSV file for your reference.To help you with the dot notation, each standard follows this structure.NC.GRADE.STANDARD.BENCHMARKThe table on the right shows the abbreviations for the different standards for K8. For example, if you are a grade 3 teacher looking for Operations and Algebraic Thinking resources, simply input in the field below "NC.3.OA" and you'll see a dropdown list of possible standards for that grade and topic. Then select the appropriate one and press the Apply button. 

NC Standards  Thumbnail  Title  Description  Curriculum Topic 

PC.F.7.2  DefinitionFunctions and Relations ConceptsVertical Line Test 
DefinitionFunctions and Relations ConceptsVertical Line Test
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsFunction 
DefinitionFunctions and Relations ConceptsFunction
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsFunction Machine 
DefinitionFunctions and Relations ConceptsFunction Machine
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsReflecting a Function 
DefinitionFunctions and Relations ConceptsReflecting a Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsOdd Function 
DefinitionFunctions and Relations ConceptsOdd Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsDistorting a Function Vertically 
DefinitionFunctions and Relations ConceptsDistorting a Function Vertically
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsComposite Function 
DefinitionFunctions and Relations ConceptsComposite Function
Quizlet Flash Cards: Composite FunctionsThis is a collection of definitions related to the topic of functions and relations. 
Composite Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsFunction Notation 
DefinitionFunctions and Relations ConceptsFunction Notation
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsVisualization of the Dependent Variable 
DefinitionFunctions and Relations ConceptsVisualization of the Dependent Variable
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsContinuous Function 
DefinitionFunctions and Relations ConceptsContinuous Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsDiscrete Functions 
DefinitionFunctions and Relations ConceptsDiscrete Functions
This is a collection of definitions related to the topic of functions and relations. 
Special Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsPiecewise Functions 
DefinitionFunctions and Relations ConceptsPiecewise Functions
This is a collection of definitions related to the topic of functions and relations. 
Special Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsStep Function 
DefinitionFunctions and Relations ConceptsStep Function
This is a collection of definitions related to the topic of functions and relations. 
Special Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsVisual Models of Functions 
DefinitionFunctions and Relations ConceptsVisual Models of Functions
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsDecreasing Function 
DefinitionFunctions and Relations ConceptsDecreasing Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsGraphs of Relations 
DefinitionFunctions and Relations ConceptsGraphs of Relations
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsConic Sections 
DefinitionFunctions and Relations ConceptsConic Sections
This is a collection of definitions related to the topic of functions and relations. 
Conic Sections  
PC.F.7.2  DefinitionFunctions and Relations ConceptsRange of a Function 
DefinitionFunctions and Relations ConceptsRange of a Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsDependent Variable 
DefinitionFunctions and Relations ConceptsDependent Variable
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsDomain of a Function 
DefinitionFunctions and Relations ConceptsDomain of a Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsFunction Table 
DefinitionFunctions and Relations ConceptsFunction Table
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsIndependent Variable 
DefinitionFunctions and Relations ConceptsIndependent Variable
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsTranslating a Function 
DefinitionFunctions and Relations ConceptsTranslating a Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsEven Function 
DefinitionFunctions and Relations ConceptsEven Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsDistorting a Function Horizontally 
DefinitionFunctions and Relations ConceptsDistorting a Function Horizontally
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsInverse Function 
DefinitionFunctions and Relations ConceptsInverse Function
This is a collection of definitions related to the topic of functions and relations. 
Functions and Their Inverses  
PC.F.7.2  DefinitionFunctions and Relations ConceptsParametric Equations 
DefinitionFunctions and Relations ConceptsParametric Equations
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsRecursive Function 
DefinitionFunctions and Relations ConceptsRecursive Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsVisualization of the Independent Variable 
DefinitionFunctions and Relations ConceptsVisualization of the Independent Variable
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsGraphs of Functions 
DefinitionFunctions and Relations ConceptsGraphs of Functions
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsDiscontinuous Function 
DefinitionFunctions and Relations ConceptsDiscontinuous Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsConstant Function 
DefinitionFunctions and Relations ConceptsConstant Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsAbsolute Value Function 
DefinitionFunctions and Relations ConceptsAbsolute Value Function
This is a collection of definitions related to the topic of functions and relations. 
Special Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsIncreasing Function 
DefinitionFunctions and Relations ConceptsIncreasing Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsVisual Models of Relations 
DefinitionFunctions and Relations ConceptsVisual Models of Relations
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.2  DefinitionFunctions and Relations ConceptsRelation 
DefinitionFunctions and Relations ConceptsRelation
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsRelation 
DefinitionFunctions and Relations ConceptsRelation
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsVertical Line Test 
DefinitionFunctions and Relations ConceptsVertical Line Test
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsFunction 
DefinitionFunctions and Relations ConceptsFunction
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsFunction Machine 
DefinitionFunctions and Relations ConceptsFunction Machine
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsReflecting a Function 
DefinitionFunctions and Relations ConceptsReflecting a Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsOdd Function 
DefinitionFunctions and Relations ConceptsOdd Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsDistorting a Function Vertically 
DefinitionFunctions and Relations ConceptsDistorting a Function Vertically
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsComposite Function 
DefinitionFunctions and Relations ConceptsComposite Function
Quizlet Flash Cards: Composite FunctionsThis is a collection of definitions related to the topic of functions and relations. 
Composite Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsFunction Notation 
DefinitionFunctions and Relations ConceptsFunction Notation
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsVisualization of the Dependent Variable 
DefinitionFunctions and Relations ConceptsVisualization of the Dependent Variable
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsContinuous Function 
DefinitionFunctions and Relations ConceptsContinuous Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsDiscrete Functions 
DefinitionFunctions and Relations ConceptsDiscrete Functions
This is a collection of definitions related to the topic of functions and relations. 
Special Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsPiecewise Functions 
DefinitionFunctions and Relations ConceptsPiecewise Functions
This is a collection of definitions related to the topic of functions and relations. 
Special Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsStep Function 
DefinitionFunctions and Relations ConceptsStep Function
This is a collection of definitions related to the topic of functions and relations. 
Special Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsVisual Models of Functions 
DefinitionFunctions and Relations ConceptsVisual Models of Functions
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsDecreasing Function 
DefinitionFunctions and Relations ConceptsDecreasing Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsGraphs of Relations 
DefinitionFunctions and Relations ConceptsGraphs of Relations
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsConic Sections 
DefinitionFunctions and Relations ConceptsConic Sections
This is a collection of definitions related to the topic of functions and relations. 
Conic Sections  
PC.F.7.1  DefinitionFunctions and Relations ConceptsRange of a Function 
DefinitionFunctions and Relations ConceptsRange of a Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsDependent Variable 
DefinitionFunctions and Relations ConceptsDependent Variable
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsDomain of a Function 
DefinitionFunctions and Relations ConceptsDomain of a Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsFunction Table 
DefinitionFunctions and Relations ConceptsFunction Table
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsIndependent Variable 
DefinitionFunctions and Relations ConceptsIndependent Variable
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsTranslating a Function 
DefinitionFunctions and Relations ConceptsTranslating a Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsEven Function 
DefinitionFunctions and Relations ConceptsEven Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsDistorting a Function Horizontally 
DefinitionFunctions and Relations ConceptsDistorting a Function Horizontally
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsInverse Function 
DefinitionFunctions and Relations ConceptsInverse Function
This is a collection of definitions related to the topic of functions and relations. 
Functions and Their Inverses  
PC.F.7.1  DefinitionFunctions and Relations ConceptsParametric Equations 
DefinitionFunctions and Relations ConceptsParametric Equations
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsRecursive Function 
DefinitionFunctions and Relations ConceptsRecursive Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsVisualization of the Independent Variable 
DefinitionFunctions and Relations ConceptsVisualization of the Independent Variable
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsGraphs of Functions 
DefinitionFunctions and Relations ConceptsGraphs of Functions
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsDiscontinuous Function 
DefinitionFunctions and Relations ConceptsDiscontinuous Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsConstant Function 
DefinitionFunctions and Relations ConceptsConstant Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsAbsolute Value Function 
DefinitionFunctions and Relations ConceptsAbsolute Value Function
This is a collection of definitions related to the topic of functions and relations. 
Special Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsIncreasing Function 
DefinitionFunctions and Relations ConceptsIncreasing Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7.1  DefinitionFunctions and Relations ConceptsVisual Models of Relations 
DefinitionFunctions and Relations ConceptsVisual Models of Relations
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsRelation 
DefinitionFunctions and Relations ConceptsRelation
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsVertical Line Test 
DefinitionFunctions and Relations ConceptsVertical Line Test
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsFunction 
DefinitionFunctions and Relations ConceptsFunction
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsFunction Machine 
DefinitionFunctions and Relations ConceptsFunction Machine
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsReflecting a Function 
DefinitionFunctions and Relations ConceptsReflecting a Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsOdd Function 
DefinitionFunctions and Relations ConceptsOdd Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsDistorting a Function Vertically 
DefinitionFunctions and Relations ConceptsDistorting a Function Vertically
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsComposite Function 
DefinitionFunctions and Relations ConceptsComposite Function
Quizlet Flash Cards: Composite FunctionsThis is a collection of definitions related to the topic of functions and relations. 
Composite Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsFunction Notation 
DefinitionFunctions and Relations ConceptsFunction Notation
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsVisualization of the Dependent Variable 
DefinitionFunctions and Relations ConceptsVisualization of the Dependent Variable
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsContinuous Function 
DefinitionFunctions and Relations ConceptsContinuous Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsDiscrete Functions 
DefinitionFunctions and Relations ConceptsDiscrete Functions
This is a collection of definitions related to the topic of functions and relations. 
Special Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsPiecewise Functions 
DefinitionFunctions and Relations ConceptsPiecewise Functions
This is a collection of definitions related to the topic of functions and relations. 
Special Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsStep Function 
DefinitionFunctions and Relations ConceptsStep Function
This is a collection of definitions related to the topic of functions and relations. 
Special Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsVisual Models of Functions 
DefinitionFunctions and Relations ConceptsVisual Models of Functions
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsDecreasing Function 
DefinitionFunctions and Relations ConceptsDecreasing Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsGraphs of Relations 
DefinitionFunctions and Relations ConceptsGraphs of Relations
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsConic Sections 
DefinitionFunctions and Relations ConceptsConic Sections
This is a collection of definitions related to the topic of functions and relations. 
Conic Sections  
PC.F.7  DefinitionFunctions and Relations ConceptsRange of a Function 
DefinitionFunctions and Relations ConceptsRange of a Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsDependent Variable 
DefinitionFunctions and Relations ConceptsDependent Variable
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsDomain of a Function 
DefinitionFunctions and Relations ConceptsDomain of a Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsFunction Table 
DefinitionFunctions and Relations ConceptsFunction Table
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsIndependent Variable 
DefinitionFunctions and Relations ConceptsIndependent Variable
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsTranslating a Function 
DefinitionFunctions and Relations ConceptsTranslating a Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsEven Function 
DefinitionFunctions and Relations ConceptsEven Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsDistorting a Function Horizontally 
DefinitionFunctions and Relations ConceptsDistorting a Function Horizontally
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsInverse Function 
DefinitionFunctions and Relations ConceptsInverse Function
This is a collection of definitions related to the topic of functions and relations. 
Functions and Their Inverses  
PC.F.7  DefinitionFunctions and Relations ConceptsParametric Equations 
DefinitionFunctions and Relations ConceptsParametric Equations
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsRecursive Function 
DefinitionFunctions and Relations ConceptsRecursive Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsVisualization of the Independent Variable 
DefinitionFunctions and Relations ConceptsVisualization of the Independent Variable
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsGraphs of Functions 
DefinitionFunctions and Relations ConceptsGraphs of Functions
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsDiscontinuous Function 
DefinitionFunctions and Relations ConceptsDiscontinuous Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsConstant Function 
DefinitionFunctions and Relations ConceptsConstant Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsAbsolute Value Function 
DefinitionFunctions and Relations ConceptsAbsolute Value Function
This is a collection of definitions related to the topic of functions and relations. 
Special Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsIncreasing Function 
DefinitionFunctions and Relations ConceptsIncreasing Function
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.7  DefinitionFunctions and Relations ConceptsVisual Models of Relations 
DefinitionFunctions and Relations ConceptsVisual Models of Relations
This is a collection of definitions related to the topic of functions and relations. 
Relations and Functions  
PC.F.6.2  Math Examples Collection: Explicit and Recursive Formulas 
This collection aggregates all the math examples around the topic of Explicit and Recursive Formulas. There are a total of 50 Math Examples. This collection of resources is made up of downloadable PNG images that you can easily incorporate into your lesson plans.  Sequences  
PC.F.6.2  Instructional Resource Collection: The Fibonacci Sequence 
This is a collection of lessons on the Fibonacci Sequence. There are six lessons.  Sequences, Exploring Coordinate Systems, Applications of Exponential and Logarithmic Functions, Ratios and Rates, Proportions, Geometric Constructions with Triangles and Applications of Quadrilaterals  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Explicit Formula of an Arithmetic Sequence: Example 10 
Math ExampleSequences and SeriesFinding the Explicit Formula of an Arithmetic Sequence: Example 10
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the nth Term of an Arithmetic Sequence: Example 2 
Math ExampleSequences and SeriesFinding the nth Term of an Arithmetic Sequence: Example 2
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Explicit Formula of a Geometric Sequence: Example 6 
Math ExampleSequences and SeriesFinding the Explicit Formula of a Geometric Sequence: Example 6
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Recursive Formula of an Arithmetic Sequence: Example 2 
Math ExampleSequences and SeriesFinding the Recursive Formula of an Arithmetic Sequence: Example 2
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the nth Term of an Arithmetic Sequence: Example 4 
Math ExampleSequences and SeriesFinding the nth Term of an Arithmetic Sequence: Example 4
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Explicit Formula of a Geometric Sequence: Example 8 
Math ExampleSequences and SeriesFinding the Explicit Formula of a Geometric Sequence: Example 8
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Recursive Formula of an Arithmetic Sequence: Example 4 
Math ExampleSequences and SeriesFinding the Recursive Formula of an Arithmetic Sequence: Example 4
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the nth Term of an Arithmetic Sequence: Example 6 
Math ExampleSequences and SeriesFinding the nth Term of an Arithmetic Sequence: Example 6
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Explicit Formula of a Geometric Sequence: Example 10 
Math ExampleSequences and SeriesFinding the Explicit Formula of a Geometric Sequence: Example 10
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Recursive Formula of an Arithmetic Sequence: Example 6 
Math ExampleSequences and SeriesFinding the Recursive Formula of an Arithmetic Sequence: Example 6
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Instructional ResourceFibonacci Sequence, Lesson 3 
Instructional Resource  Fibonacci Sequence, Lesson 3
This is a continuation of our exploration of the Fibonacci Sequence. In this lesson we look at the sequence as a logarithmic spiral. 
Exploring Coordinate Systems and Applications of Exponential and Logarithmic Functions  
PC.F.6.2  Math ExampleSequences and SeriesFinding the nth Term of an Arithmetic Sequence: Example 8 
Math ExampleSequences and SeriesFinding the nth Term of an Arithmetic Sequence: Example 8
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Recursive Formula of a Geometric Sequence: Example 2 
Math ExampleSequences and SeriesFinding the Recursive Formula of a Geometric Sequence: Example 2
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Explicit Formula of an Arithmetic Sequence: Example 1 
Math ExampleSequences and SeriesFinding the Explicit Formula of an Arithmetic Sequence: Example 1
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Recursive Formula of an Arithmetic Sequence: Example 8 
Math ExampleSequences and SeriesFinding the Recursive Formula of an Arithmetic Sequence: Example 8
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Instructional ResourceFibonacci Sequence, Lesson 4 
Instructional Resource  Fibonacci Sequence, Lesson 4
This is a continuation of our exploration of the Fibonacci Sequence. In this lesson we look at the Golden Ratio phi. 
Sequences, Ratios and Rates and Proportions  
PC.F.6.2  Math ExampleSequences and SeriesFinding the nth Term of an Arithmetic Sequence: Example 10 
Math ExampleSequences and SeriesFinding the nth Term of an Arithmetic Sequence: Example 10
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Recursive Formula of a Geometric Sequence: Example 4 
Math ExampleSequences and SeriesFinding the Recursive Formula of a Geometric Sequence: Example 4
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Explicit Formula of an Arithmetic Sequence: Example 3 
Math ExampleSequences and SeriesFinding the Explicit Formula of an Arithmetic Sequence: Example 3
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Recursive Formula of an Arithmetic Sequence: Example 10 
Math ExampleSequences and SeriesFinding the Recursive Formula of an Arithmetic Sequence: Example 10
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Instructional ResourceFibonacci Sequence, Lesson 1 
Instructional Resource  Fibonacci Sequence, Lesson 1
The year 2023 is the Year of the Rabbit in the Chinese Zodiac. Media4Math would also like to make this the Year of Fibonacci. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Explicit Formula of an Arithmetic Sequence: Example 5 
Math ExampleSequences and SeriesFinding the Explicit Formula of an Arithmetic Sequence: Example 5
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Recursive Formula of a Geometric Sequence: Example 6 
Math ExampleSequences and SeriesFinding the Recursive Formula of a Geometric Sequence: Example 6
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Explicit Formula of a Geometric Sequence: Example 1 
Math ExampleSequences and SeriesFinding the Explicit Formula of a Geometric Sequence: Example 1
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Instructional ResourceFibonacci Sequence, Lesson 2 
Instructional Resource  Fibonacci Sequence, Lesson 2
This is a continuation of our exploration of the Fibonacci Sequence. In this lesson we look at the sequence as an example of a recursive function. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Explicit Formula of an Arithmetic Sequence: Example 7 
Math ExampleSequences and SeriesFinding the Explicit Formula of an Arithmetic Sequence: Example 7
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Recursive Formula of a Geometric Sequence: Example 8 
Math ExampleSequences and SeriesFinding the Recursive Formula of a Geometric Sequence: Example 8
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Explicit Formula of a Geometric Sequence: Example 3 
Math ExampleSequences and SeriesFinding the Explicit Formula of a Geometric Sequence: Example 3
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Explicit Formula of an Arithmetic Sequence: Example 9 
Math ExampleSequences and SeriesFinding the Explicit Formula of an Arithmetic Sequence: Example 9
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Recursive Formula of a Geometric Sequence: Example 10 
Math ExampleSequences and SeriesFinding the Recursive Formula of a Geometric Sequence: Example 10
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the nth Term of an Arithmetic Sequence: Example 1 
Math ExampleSequences and SeriesFinding the nth Term of an Arithmetic Sequence: Example 1
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Explicit Formula of a Geometric Sequence: Example 5 
Math ExampleSequences and SeriesFinding the Explicit Formula of a Geometric Sequence: Example 5
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Recursive Formula of an Arithmetic Sequence: Example 1 
Math ExampleSequences and SeriesFinding the Recursive Formula of an Arithmetic Sequence: Example 1
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the nth Term of an Arithmetic Sequence: Example 3 
Math ExampleSequences and SeriesFinding the nth Term of an Arithmetic Sequence: Example 3
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Explicit Formula of a Geometric Sequence: Example 7 
Math ExampleSequences and SeriesFinding the Explicit Formula of a Geometric Sequence: Example 7
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Recursive Formula of an Arithmetic Sequence: Example 3 
Math ExampleSequences and SeriesFinding the Recursive Formula of an Arithmetic Sequence: Example 3
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the nth Term of an Arithmetic Sequence: Example 5 
Math ExampleSequences and SeriesFinding the nth Term of an Arithmetic Sequence: Example 5
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Explicit Formula of a Geometric Sequence: Example 9 
Math ExampleSequences and SeriesFinding the Explicit Formula of a Geometric Sequence: Example 9
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Instructional ResourceFibonacci Sequence, Lesson 6 
Instructional Resource  Fibonacci Sequence, Lesson 6
This is a continuation of our exploration of the Fibonacci Sequence. In this lesson we look at geometric constructions that reflect the golden ratio. 
Sequences, Geometric Constructions with Triangles and Applications of Quadrilaterals  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Recursive Formula of an Arithmetic Sequence: Example 5 
Math ExampleSequences and SeriesFinding the Recursive Formula of an Arithmetic Sequence: Example 5
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the nth Term of an Arithmetic Sequence: Example 7 
Math ExampleSequences and SeriesFinding the nth Term of an Arithmetic Sequence: Example 7
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Recursive Formula of a Geometric Sequence: Example 1 
Math ExampleSequences and SeriesFinding the Recursive Formula of a Geometric Sequence: Example 1
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Recursive Formula of an Arithmetic Sequence: Example 7 
Math ExampleSequences and SeriesFinding the Recursive Formula of an Arithmetic Sequence: Example 7
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the nth Term of an Arithmetic Sequence: Example 9 
Math ExampleSequences and SeriesFinding the nth Term of an Arithmetic Sequence: Example 9
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Recursive Formula of a Geometric Sequence: Example 3 
Math ExampleSequences and SeriesFinding the Recursive Formula of a Geometric Sequence: Example 3
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Explicit Formula of an Arithmetic Sequence: Example 2 
Math ExampleSequences and SeriesFinding the Explicit Formula of an Arithmetic Sequence: Example 2
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Recursive Formula of an Arithmetic Sequence: Example 9 
Math ExampleSequences and SeriesFinding the Recursive Formula of an Arithmetic Sequence: Example 9
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Recursive Formula of a Geometric Sequence: Example 5 
Math ExampleSequences and SeriesFinding the Recursive Formula of a Geometric Sequence: Example 5
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Explicit Formula of an Arithmetic Sequence: Example 4 
Math ExampleSequences and SeriesFinding the Explicit Formula of an Arithmetic Sequence: Example 4
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Explicit Formula of an Arithmetic Sequence: Example 6 
Math ExampleSequences and SeriesFinding the Explicit Formula of an Arithmetic Sequence: Example 6
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Recursive Formula of a Geometric Sequence: Example 7 
Math ExampleSequences and SeriesFinding the Recursive Formula of a Geometric Sequence: Example 7
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Explicit Formula of a Geometric Sequence: Example 2 
Math ExampleSequences and SeriesFinding the Explicit Formula of a Geometric Sequence: Example 2
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Explicit Formula of an Arithmetic Sequence: Example 8 
Math ExampleSequences and SeriesFinding the Explicit Formula of an Arithmetic Sequence: Example 8
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Instructional ResourceFibonacci Sequence, Lesson 5 
Instructional Resource  Fibonacci Sequence, Lesson 5
This is a continuation of our exploration of the Fibonacci Sequence. In this lesson we look at the Golden Ratio phi. 
Sequences, Ratios and Rates and Proportions  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Recursive Formula of a Geometric Sequence: Example 9 
Math ExampleSequences and SeriesFinding the Recursive Formula of a Geometric Sequence: Example 9
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.2  Math ExampleSequences and SeriesFinding the Explicit Formula of a Geometric Sequence: Example 4 
Math ExampleSequences and SeriesFinding the Explicit Formula of a Geometric Sequence: Example 4
This is part of a collection of math examples that focus on sequences and series. 
Sequences  
PC.F.6.1  Math Video Collection: Texas Instruments Tutorial Videos 
This collection aggregates all the math videos and resources in this series: Texas Instruments Tutorial Videos. There are a total of 266 resources.  Rational Expressions, Sequences, Series, Polynomial Functions and Equations, Graphs of Quadratic Functions, Quadratic Equations and Functions, Solving Systems of Equations, Trig Expressions and Identities, Probability, Geometric Constructions with Triangles, Composite Functions, Geometric Constructions with Angles and Planes, Distance Formula, Data Analysis, Slope, Special Functions, Trigonometric Functions, Graphs of Exponential and Logarithmic Functions, Radical Functions and Equations, Rational Functions and Equations, SlopeIntercept Form, Coordinate Systems, Graphs of Linear Functions, Inequalities, Matrix Operations and Midpoint Formula  
PC.F.6.1  Worksheet: TINspire MiniTutorial: (CAS) Exploring induction: Finding the Formula for the Sum of Consecutive Odd Integers 
Worksheet: TINspire MiniTutorial: (CAS) Exploring induction: Finding the Formula for the Sum of Consecutive Odd Integers
This is part of a collection of math worksheets on the use of the TINspire graphing 
Sequences and Series  
PC.F.6.1  VIDEO: TiNspire MiniTutorial, Video 25 
VIDEO: TINspire MiniTutorial: (CAS) Exploring induction: Finding the Formula for the Sum of Consecutive Integers
In this TI Nspire tutorial for the TINspire CAS, the Graphing window is used to find the sum 
Sequences and Series  
PC.F.6.1  Closed Captioned Video: Exp induction 2 
Closed Captioned Video: Exp induction 2
In this TI Nspire tutorial for the TINspire CAS, the Graphing window is used to find the sum of sequence of consecutive odd integers, as well as deriving the general f 
Sequences and Series  
PC.F.6.1  Worksheet: TINspire MiniTutorial: (CAS) Exploring induction: Finding the Formula for the Sum of Consecutive Integers 
Worksheet: TINspire MiniTutorial: (CAS) Exploring induction: Finding the Formula for the Sum of Consecutive Integers
This is part of a collection of math worksheets on the use of the TINspire graphing calc 
Sequences and Series  
PC.F.6.1  Video Transcript: TINspire MiniTutorial: (CAS) Exploring induction: Finding the Formula for the Sum of Consecutive Odd Integers 
Video Transcript: TINspire MiniTutorial: (CAS) Exploring induction: Finding the Formula for the Sum of Consecutive Odd Integers
This is the transcript for the TINspire MiniTutorial entitled, Exploring ind 
Sequences and Series  
PC.F.6.1  Closed Captioned Video: Exp induction 1 
Closed Captioned Video: Exp induction 1
In this TI Nspire tutorial for the TINspire CAS, the Graphing window is used to find the sum of sequence of consecutive integers, as well as deriving the general formu 
Sequences and Series  
PC.F.6.1  Video Transcript: TINspire MiniTutorial: (CAS) Exploring induction: Finding the Formula for the Sum of Consecutive Integers 
Video Transcript: TINspire MiniTutorial: (CAS) Exploring induction: Finding the Formula for the Sum of Consecutive Integers
This is the transcript for the TINspire MiniTutorial entitled, Exploring inducti 
Sequences and Series  
PC.F.6.1  VIDEO: TiNspire MiniTutorial, Video 26 
VIDEO: TINspire MiniTutorial: (CAS) Exploring induction: Finding the Formula for the Sum of Consecutive Odd Integers
In this TI Nspire tutorial for the TINspire CAS, the Graphing window is used to find the 
Sequences and Series  
PC.F.6  Math Video Collection: Texas Instruments Tutorial Videos 
This collection aggregates all the math videos and resources in this series: Texas Instruments Tutorial Videos. There are a total of 266 resources.  Rational Expressions, Sequences, Series, Polynomial Functions and Equations, Graphs of Quadratic Functions, Quadratic Equations and Functions, Solving Systems of Equations, Trig Expressions and Identities, Probability, Geometric Constructions with Triangles, Composite Functions, Geometric Constructions with Angles and Planes, Distance Formula, Data Analysis, Slope, Special Functions, Trigonometric Functions, Graphs of Exponential and Logarithmic Functions, Radical Functions and Equations, Rational Functions and Equations, SlopeIntercept Form, Coordinate Systems, Graphs of Linear Functions, Inequalities, Matrix Operations and Midpoint Formula  
PC.F.6  VIDEO: TiNspire MiniTutorial, Video 26 
VIDEO: TINspire MiniTutorial: (CAS) Exploring induction: Finding the Formula for the Sum of Consecutive Odd Integers
In this TI Nspire tutorial for the TINspire CAS, the Graphing window is used to find the 
Sequences and Series  
PC.F.6  Worksheet: TINspire MiniTutorial: (CAS) Exploring induction: Finding the Formula for the Sum of Consecutive Odd Integers 
Worksheet: TINspire MiniTutorial: (CAS) Exploring induction: Finding the Formula for the Sum of Consecutive Odd Integers
This is part of a collection of math worksheets on the use of the TINspire graphing 
Sequences and Series  
PC.F.6  VIDEO: TiNspire MiniTutorial, Video 25 
VIDEO: TINspire MiniTutorial: (CAS) Exploring induction: Finding the Formula for the Sum of Consecutive Integers
In this TI Nspire tutorial for the TINspire CAS, the Graphing window is used to find the sum 
Sequences and Series  
PC.F.6  Closed Captioned Video: Exp induction 2 
Closed Captioned Video: Exp induction 2
In this TI Nspire tutorial for the TINspire CAS, the Graphing window is used to find the sum of sequence of consecutive odd integers, as well as deriving the general f 
Sequences and Series  
PC.F.6  Worksheet: TINspire MiniTutorial: (CAS) Exploring induction: Finding the Formula for the Sum of Consecutive Integers 
Worksheet: TINspire MiniTutorial: (CAS) Exploring induction: Finding the Formula for the Sum of Consecutive Integers
This is part of a collection of math worksheets on the use of the TINspire graphing calc 
Sequences and Series  
PC.F.6  Video Transcript: TINspire MiniTutorial: (CAS) Exploring induction: Finding the Formula for the Sum of Consecutive Odd Integers 
Video Transcript: TINspire MiniTutorial: (CAS) Exploring induction: Finding the Formula for the Sum of Consecutive Odd Integers
This is the transcript for the TINspire MiniTutorial entitled, Exploring ind 
Sequences and Series  
PC.F.6  Closed Captioned Video: Exp induction 1 
Closed Captioned Video: Exp induction 1
In this TI Nspire tutorial for the TINspire CAS, the Graphing window is used to find the sum of sequence of consecutive integers, as well as deriving the general formu 
Sequences and Series  
PC.F.6  Video Transcript: TINspire MiniTutorial: (CAS) Exploring induction: Finding the Formula for the Sum of Consecutive Integers 
Video Transcript: TINspire MiniTutorial: (CAS) Exploring induction: Finding the Formula for the Sum of Consecutive Integers
This is the transcript for the TINspire MiniTutorial entitled, Exploring inducti 
Sequences and Series  
PC.F.5.7  Math Definitions CollectionCalculus Concepts 
This collection aggregates all the definitions for key terms in a standards Calculus course. There are a total of 88 images. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.  Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsDerivative of a Rational Function 
DefinitionCalculus TopicsDerivative of a Rational Function
Since a rational function is the ratio of two polynomials, the derivative of a rational function is also the ratio of two polynomials. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsChain Rule 
DefinitionCalculus TopicsChain Rule
The process for finding the derivative of a composite function. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsHooke's Law 
DefinitionCalculus TopicsHooke's Law
A secondorder differential equation that is used to model simple harmonic motion using a trigonometric function. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsIntegral 
DefinitionCalculus TopicsIntegral
A method for finding the area of a curve along an interval. In calculus, integrating a function f(x) involves finding the antiderivative of f(x). 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsTangent to a Curve 
DefinitionCalculus TopicsTangent to a Curve
A line that intersects a curve at a single point and is perpendicular to the curve at that point. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsOdd Function 
DefinitionCalculus TopicsOdd Function
A function whose graph has point symmetry about the origin. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsAbsolute Maximum 
DefinitionCalculus TopicsAbsolute Maximum
When a function takes an input value, a, for some value in the domain, such that f(a) ≥ f(x), for all x in the domain. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsDiscrete Function 
DefinitionCalculus TopicsDiscrete Function
A function whose graphs has gaps. This is because the function consists of separate ordered pairs or is a discontinuous function with gaps. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsDelta x 
DefinitionCalculus TopicsDelta x
The change in xcoordinates for a given function. Often used in the formula for finding the derivative of a function. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsLeftHand Limit 
DefinitionCalculus TopicsLeftHand Limit
As a function f(x) approaches a specific input value a, for xvalues less than or equal to a, the function may approach a specific limiting value. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsZeros of a Function 
DefinitionCalculus TopicsZeros of a Function
Where the graph of a function intersects the xaxis. The solutions to the equation f(x) = 0 for some function f(x). 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsRational Function 
DefinitionCalculus TopicsRational Function
A function made up of the ratio of two functions f(x) and g(x). 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsDerivative of a Polynomial Function 
DefinitionCalculus TopicsDerivative of a Polynomial Function
The derivative of a polynomial of degree n is another polynomial of degree n  1. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsAverage Rates of Change 
DefinitionCalculus TopicsAverage Rates of Change
The ratio along an interval of a domain for a given function, comparable to calculating the slope of a line. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsFloor Function 
DefinitionCalculus TopicsFloor Function
A discrete function that takes real number values and whose output is the greatest integer value greater than the input value. The graph looks like a staircase. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsStep Function 
DefinitionCalculus TopicsStep Function
A discontinuous function whose graph looks like a staircase. A step function can be generated by ceiling or floor functions. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsMean Value Theorem 
DefinitionCalculus TopicsMean Value Theorem
For differentiable function f(x) along the closed interval [a, b] there is a value c within that interval such that f'(c) is parallel to the secant formed by th 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsDifferentiation 
DefinitionCalculus TopicsDifferentiation
The process of finding the derivative of a function. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsConvex Function 
DefinitionCalculus TopicsConvex Function
A function whose graph curves up along an interval of the domain. The inflection point is where the first derivative is zero. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsInflection Point 
DefinitionCalculus TopicsInflection Point
The point on a curve where the curvature changes. This is often indicated by a change in the slopes of tangents to the curve. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsInverse Function 
DefinitionCalculus TopicsInverse Function
For function f(x), the inverse function f1(x), if it exists, undoes the mapping of the original function. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsVelocity 
DefinitionCalculus TopicsVelocity
The first derivative, with respect to time, for the displacement function. Velocity is a vector quantity. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsPower Rule 
DefinitionCalculus TopicsPower Rule
The process of finding the derivative of a power function. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsArea Beneath a Curve 
DefinitionCalculus TopicsArea Beneath a Curve
For a definite integral, it is the numerical result of the integration. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsExtreme Value Theorem 
DefinitionCalculus TopicsExtreme Value Theorem
For function f(x) along an interval, there are maximum and minimum values. If the derivative is zero along this interval, this is an inflection point. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsDerivative of a Logarithmic Function 
DefinitionCalculus TopicsDerivative of a Logarithmic Function
The derivative of a logarithmic function uses the laws of logarithms and the definition of e to find the derivative. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsLocal Minimum 
DefinitionCalculus TopicsLocal Minimum
When a function takes an input value, a, for some region in the domain, such that f(a) ≤ f(x), for all x in that region. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsSeparable Differential Equation 
DefinitionCalculus TopicsSeparable Differential Equation
A special type of differential equation in which functions f(x) and g(y) can be separated to find the solution to the equation. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsDifferentiable Function 
DefinitionCalculus TopicsDifferentiable Function
A function is differentiable if a derivative can be found at each point in its domain. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsConcave Function 
DefinitionCalculus TopicsConcave Function
A function whose graph curves down along an interval of the domain. The inflection point is where the first derivative is zero. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsImplicit Function 
DefinitionCalculus TopicsImplicit Function
A function in which y cannot be written as a function of x, where y is on the left side of the equation and all terms with x are on the right side of the equatio 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsIntegration by Substitution 
DefinitionCalculus TopicsIntegration by Substitution
Replacing the integrand with a simpler expression to make the process of integration easier. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsTrigonometric Function 
DefinitionCalculus TopicsTrigonometric Function
One of six main functions, including sine, cosine, tangent, secant, cosecant, and cotangent. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsPiecewise Function 
DefinitionCalculus TopicsPiecewise Function
A function made up of separate functions, each with its own interval. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsAcceleration 
DefinitionCalculus TopicsAcceleration
The second derivative, with respect to time, for the displacement function. Acceleration is a vector quantity. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsEven Function 
DefinitionCalculus TopicsEven Function
A function whose graph is symmetric about the yaxis. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsDerivative of a Composite Function 
DefinitionCalculus TopicsDerivative of a Composite Function
For two functions f(x) and g(x), the derivative of the composite function f(g(x)) is f'(x)*g'(x). This is an example of the Chain Rule. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsLinear Approximation 
DefinitionCalculus TopicsLinear Approximation
For differentiable function f(x), the linear approximation at x = a, for some real number a, is the equation of the line tangent to f(x) at a. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsRolle's Theorem 
DefinitionCalculus TopicsRolle's Theorem
For function f(x) along an interval [a, b], if f(a) = f(b), then there is a point along the interval where the derivative is zero. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsDerivative of a Trig Function 
DefinitionCalculus TopicsDerivative of a Trig Function
The derivative of a trig function is another trig function, as shown in the table. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsChange of Variables 
DefinitionCalculus TopicsChange of Variables
A substitution technique where a variable replaces a more complicated expression. In calculus it can simplify differentiation or integration. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsHorizontal Asymptote 
DefinitionCalculus TopicsHorizontal Asymptote
A horizontal line that the graph of a function approaches but does not intersect. The equation of a horizontal asymptote is y = c, for some constant c. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsIntegral Symbol 
DefinitionCalculus TopicsIntegral Symbol
The mathematical symbol used to denote the process of integration. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsTrapezoidal Rule 
DefinitionCalculus TopicsTrapezoidal Rule
A technique for approximating a definite integral by adding the areas of trapezoids underneath a curve. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsOneSided Limits 
DefinitionCalculus TopicsOneSided Limits
Restricting the limit of a function for values approaching the limiting value from one side. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsAbsolute Minimum 
DefinitionCalculus TopicsAbsolute Minimum
When a function takes an input value, a, for some value in the domain, such that f(a) ≤ f(x), for all x in the domain. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsDisplacement Function 
DefinitionCalculus TopicsDisplacement Function
A distancevs.time function used to find the distance an object has moved from a starting point. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsDelta y 
DefinitionCalculus TopicsDelta y
The change in ycoordinates for a given function. Often used in the formula for finding the derivative of a function. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsLimit 
DefinitionCalculus TopicsLimit
As a function f(x) approaches a specific input value a, the function may approach a specific limiting value. This limit may or may not exist. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsRiemann Sum 
DefinitionCalculus TopicsRiemann Sum
An approximation method for estimating the area under a curve and used to approximate the solution to a definite integral. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsDerivative of a Quadratic Function 
DefinitionCalculus TopicsDerivative of a Quadratic Function
Since a quadratic function is a polynomial function of degree 2, the derivative is a linear function. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsCeiling Function 
DefinitionCalculus TopicsCeiling Function
A discrete function that takes real number values and whose output is the least integer value greater than the input value. The graph looks like a staircase. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsFundamental Theorem of Calculus 
DefinitionCalculus TopicsFundamental Theorem of Calculus
The theorem that relates differentiation and integration. The two operations are basically inverses of each other. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsInstantaneous Rate of Change 
DefinitionCalculus TopicsInstantaneous Rate of Change
Another way of describing the slope of the line tangent to a given curve at a given point. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsSum Rule 
DefinitionCalculus TopicsSum Rule
For differentiable functions f(x) and g(x) along a given interval, the derivative of the sum f(x) + g(x) is the sum of the individual derivatives f'(x) and g'(x). 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsOblique Asymptote 
DefinitionCalculus TopicsOblique Asymptote
A slanted line that the graph of a function approaches but does not intersect. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsDiscontinuous Function 
DefinitionCalculus TopicsDiscontinuous Function
A function is discontinuous if it has one or more gaps along the domain of the function. The left or righthand limits exist but are not equal. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsDefinite Integral 
DefinitionCalculus TopicsDefinite Integral
The integral of a function with specific limits on the endpoints. A definite integral results in a numerical value. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsL'Hopital's Rule 
DefinitionCalculus TopicsL'Hopital's Rule
For function f(x)/g(x), where f(x) and g(x) are two functions, along an interval [a, b], if there is a point c in the interval such that g(x) = 0, then L'Hopital' 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsVertical Asymptote 
DefinitionCalculus TopicsVertical Asymptote
A vertical line that the graph of a function approaches but does not intersect. The equation of a vertical asymptote is x = c, for some constant c. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsQuotient Rule 
DefinitionCalculus TopicsQuotient Rule
The rule for finding the derivative of a function made up of the ratios of two functions f(x) and g(x). 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsDerivative of an Exponential Function 
DefinitionCalculus TopicsDerivative of an Exponential Function
The derivative of an exponential function is the product of the function and the natural log of the base. The derivative of ex is ex. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsAsymptote 
DefinitionCalculus TopicsAsymptote
A line that the graph of a function approaches but does not intersect. Asymptotes can be vertical, horizontal, or oblique. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsFirst Derivative 
DefinitionCalculus TopicsFirst Derivative
For differentiable function f(x), the first derivative is denoted as f'(x). 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsSigma Notation 
DefinitionCalculus TopicsSigma Notation
The Greek letter used for summarizing terms of a finite or infinite sequence. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsMatrix Representations of Vectors 
DefinitionCalculus TopicsMatrix Representations of Vectors
A vector quantity can be represented by a matrix. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsDifferential Equation 
DefinitionCalculus TopicsDifferential Equation
An equation that includes the derivative of a function f(x) and the variable x. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsContinuous Functions 
DefinitionCalculus TopicsContinuous Functions
A function is continuous if it has no gaps along the domain of the function. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsIndefinite Integral 
DefinitionCalculus TopicsIndefinite Integral
The integral of a function without a specific limit on the endpoints. The result of an indefinite integral is a differentiable function. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsIntermediate Value Theorem 
DefinitionCalculus TopicsIntermediate Value Theorem
For continuous function f(x) along interval [a, b] there are values between f(a) and f(b). 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsVector 
DefinitionCalculus TopicsVector
A quantity that has magnitude and direction. Vectors are often used to model realworld phenomena such as force, speed, or acceleration. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsPower Function 
DefinitionCalculus TopicsPower Function
A function with a single term that consists of a variable base raised to a real number power. The variable can also have a real number coefficient. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsAntiderivative 
DefinitionCalculus TopicsAntiderivative
For two differentiable functions f(x) and F(x), if F'(x) = f(x), then F(x) is the antiderivative of f(x). 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsExplicit Function 
DefinitionCalculus TopicsExplicit Function
A function in which y can be written as a function of x, where y is on the left side of the equation and all terms with x are on the right side of the equation.< 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsDerivative of a Linear Function 
DefinitionCalculus TopicsDerivative of a Linear Function
The derivative of a linear function of the form y = mx + b is the slope of the line, m. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsLocal Maximum 
DefinitionCalculus TopicsLocal Maximum
When a function takes an input value, a, for some region in the domain, such that f(a) ≥ f(x), for all x in that region. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsSecond Derivative 
DefinitionCalculus TopicsSecond Derivative
For differentiable function f(x), the second derivative is the derivative of f'(x) and denoted as f''(x). 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsDerivative of the Inverse of a Trig Function 
DefinitionCalculus TopicsDerivative of the Inverse of a Trig Function
Use implicit differentiation and the quotient rule to find the derivative of an inverse trig function. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsComposite Function 
DefinitionCalculus TopicsComposite Function
A function whose input values are made up of another function. For two functions f(x) and g(x), a composite function can be written as f(g(x)). 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsImplicit Differentiation 
DefinitionCalculus TopicsImplicit Differentiation
When a function cannot be written in the form of y as a function of x, then implicit differentation can be used to find the derivative with respect to x.< 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsIntegrand 
DefinitionCalculus TopicsIntegrand
In the process of integration, it is the function that is being integrated. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsTrig Identities 
DefinitionCalculus TopicsTrig Identities
Equations that involve trigonmetric functions and are often used to simplify certain trigonometric expressions. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsParametric Equations 
DefinitionCalculus TopicsParametric Equations
A set of equations where each variable, x and y, is a function of a third variable, t. Graphs of parametric equations are sometimes not functions. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsAbsolute Value Function 
DefinitionCalculus TopicsAbsolute Value Function
A piecewise function whose simplest form is shown below. These functions are not differentiable at their vertex. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsEnd Behavior 
DefinitionCalculus TopicsEnd Behavior
The way a function f(x) changes as x approaches infinity, whether positive or negative. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsDerivative 
DefinitionCalculus TopicsDerivative
A function used to find the slope of a tangent to a curve at a given point. The derivative is based on the following limit. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsLimits at Infinity 
DefinitionCalculus TopicsLimits at Infinity
Finding the limiting value for function f(x) as the input value x approaches infinity. This limit may or may not exist. 
Calculus Vocabulary  
PC.F.5.7  DefinitionCalculus TopicsRightHand Limit 
DefinitionCalculus TopicsRightHand Limit
As a function f(x) approaches a specific input value a, for xvalues greater than or equal to a, the function may approach a specific limiting value. 
Calculus Vocabulary  
PC.F.5.6  INSTRUCTIONAL RESOURCE: Math Examples 18 
INSTRUCTIONAL RESOURCE: Math ExamplesFunctions and Their Inverses
This set of tutorials provides 18 examples that explore the concept of functions and their inverses. 
Functions and Their Inverses  
PC.F.5.5  Math Definitions CollectionCalculus Concepts 
This collection aggregates all the definitions for key terms in a standards Calculus course. There are a total of 88 images. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.  Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsLocal Maximum 
DefinitionCalculus TopicsLocal Maximum
When a function takes an input value, a, for some region in the domain, such that f(a) ≥ f(x), for all x in that region. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsSecond Derivative 
DefinitionCalculus TopicsSecond Derivative
For differentiable function f(x), the second derivative is the derivative of f'(x) and denoted as f''(x). 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsDerivative of the Inverse of a Trig Function 
DefinitionCalculus TopicsDerivative of the Inverse of a Trig Function
Use implicit differentiation and the quotient rule to find the derivative of an inverse trig function. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsComposite Function 
DefinitionCalculus TopicsComposite Function
A function whose input values are made up of another function. For two functions f(x) and g(x), a composite function can be written as f(g(x)). 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsImplicit Differentiation 
DefinitionCalculus TopicsImplicit Differentiation
When a function cannot be written in the form of y as a function of x, then implicit differentation can be used to find the derivative with respect to x.< 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsIntegrand 
DefinitionCalculus TopicsIntegrand
In the process of integration, it is the function that is being integrated. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsTrig Identities 
DefinitionCalculus TopicsTrig Identities
Equations that involve trigonmetric functions and are often used to simplify certain trigonometric expressions. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsParametric Equations 
DefinitionCalculus TopicsParametric Equations
A set of equations where each variable, x and y, is a function of a third variable, t. Graphs of parametric equations are sometimes not functions. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsAbsolute Value Function 
DefinitionCalculus TopicsAbsolute Value Function
A piecewise function whose simplest form is shown below. These functions are not differentiable at their vertex. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsEnd Behavior 
DefinitionCalculus TopicsEnd Behavior
The way a function f(x) changes as x approaches infinity, whether positive or negative. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsDerivative 
DefinitionCalculus TopicsDerivative
A function used to find the slope of a tangent to a curve at a given point. The derivative is based on the following limit. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsLimits at Infinity 
DefinitionCalculus TopicsLimits at Infinity
Finding the limiting value for function f(x) as the input value x approaches infinity. This limit may or may not exist. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsRightHand Limit 
DefinitionCalculus TopicsRightHand Limit
As a function f(x) approaches a specific input value a, for xvalues greater than or equal to a, the function may approach a specific limiting value. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsDerivative of a Rational Function 
DefinitionCalculus TopicsDerivative of a Rational Function
Since a rational function is the ratio of two polynomials, the derivative of a rational function is also the ratio of two polynomials. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsChain Rule 
DefinitionCalculus TopicsChain Rule
The process for finding the derivative of a composite function. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsHooke's Law 
DefinitionCalculus TopicsHooke's Law
A secondorder differential equation that is used to model simple harmonic motion using a trigonometric function. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsIntegral 
DefinitionCalculus TopicsIntegral
A method for finding the area of a curve along an interval. In calculus, integrating a function f(x) involves finding the antiderivative of f(x). 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsTangent to a Curve 
DefinitionCalculus TopicsTangent to a Curve
A line that intersects a curve at a single point and is perpendicular to the curve at that point. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsOdd Function 
DefinitionCalculus TopicsOdd Function
A function whose graph has point symmetry about the origin. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsAbsolute Maximum 
DefinitionCalculus TopicsAbsolute Maximum
When a function takes an input value, a, for some value in the domain, such that f(a) ≥ f(x), for all x in the domain. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsDiscrete Function 
DefinitionCalculus TopicsDiscrete Function
A function whose graphs has gaps. This is because the function consists of separate ordered pairs or is a discontinuous function with gaps. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsDelta x 
DefinitionCalculus TopicsDelta x
The change in xcoordinates for a given function. Often used in the formula for finding the derivative of a function. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsLeftHand Limit 
DefinitionCalculus TopicsLeftHand Limit
As a function f(x) approaches a specific input value a, for xvalues less than or equal to a, the function may approach a specific limiting value. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsZeros of a Function 
DefinitionCalculus TopicsZeros of a Function
Where the graph of a function intersects the xaxis. The solutions to the equation f(x) = 0 for some function f(x). 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsRational Function 
DefinitionCalculus TopicsRational Function
A function made up of the ratio of two functions f(x) and g(x). 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsDerivative of a Polynomial Function 
DefinitionCalculus TopicsDerivative of a Polynomial Function
The derivative of a polynomial of degree n is another polynomial of degree n  1. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsAverage Rates of Change 
DefinitionCalculus TopicsAverage Rates of Change
The ratio along an interval of a domain for a given function, comparable to calculating the slope of a line. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsFloor Function 
DefinitionCalculus TopicsFloor Function
A discrete function that takes real number values and whose output is the greatest integer value greater than the input value. The graph looks like a staircase. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsStep Function 
DefinitionCalculus TopicsStep Function
A discontinuous function whose graph looks like a staircase. A step function can be generated by ceiling or floor functions. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsMean Value Theorem 
DefinitionCalculus TopicsMean Value Theorem
For differentiable function f(x) along the closed interval [a, b] there is a value c within that interval such that f'(c) is parallel to the secant formed by th 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsDifferentiation 
DefinitionCalculus TopicsDifferentiation
The process of finding the derivative of a function. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsConvex Function 
DefinitionCalculus TopicsConvex Function
A function whose graph curves up along an interval of the domain. The inflection point is where the first derivative is zero. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsInflection Point 
DefinitionCalculus TopicsInflection Point
The point on a curve where the curvature changes. This is often indicated by a change in the slopes of tangents to the curve. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsInverse Function 
DefinitionCalculus TopicsInverse Function
For function f(x), the inverse function f1(x), if it exists, undoes the mapping of the original function. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsVelocity 
DefinitionCalculus TopicsVelocity
The first derivative, with respect to time, for the displacement function. Velocity is a vector quantity. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsPower Rule 
DefinitionCalculus TopicsPower Rule
The process of finding the derivative of a power function. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsArea Beneath a Curve 
DefinitionCalculus TopicsArea Beneath a Curve
For a definite integral, it is the numerical result of the integration. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsExtreme Value Theorem 
DefinitionCalculus TopicsExtreme Value Theorem
For function f(x) along an interval, there are maximum and minimum values. If the derivative is zero along this interval, this is an inflection point. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsDerivative of a Logarithmic Function 
DefinitionCalculus TopicsDerivative of a Logarithmic Function
The derivative of a logarithmic function uses the laws of logarithms and the definition of e to find the derivative. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsLocal Minimum 
DefinitionCalculus TopicsLocal Minimum
When a function takes an input value, a, for some region in the domain, such that f(a) ≤ f(x), for all x in that region. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsSeparable Differential Equation 
DefinitionCalculus TopicsSeparable Differential Equation
A special type of differential equation in which functions f(x) and g(y) can be separated to find the solution to the equation. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsDifferentiable Function 
DefinitionCalculus TopicsDifferentiable Function
A function is differentiable if a derivative can be found at each point in its domain. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsConcave Function 
DefinitionCalculus TopicsConcave Function
A function whose graph curves down along an interval of the domain. The inflection point is where the first derivative is zero. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsImplicit Function 
DefinitionCalculus TopicsImplicit Function
A function in which y cannot be written as a function of x, where y is on the left side of the equation and all terms with x are on the right side of the equatio 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsIntegration by Substitution 
DefinitionCalculus TopicsIntegration by Substitution
Replacing the integrand with a simpler expression to make the process of integration easier. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsTrigonometric Function 
DefinitionCalculus TopicsTrigonometric Function
One of six main functions, including sine, cosine, tangent, secant, cosecant, and cotangent. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsPiecewise Function 
DefinitionCalculus TopicsPiecewise Function
A function made up of separate functions, each with its own interval. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsAcceleration 
DefinitionCalculus TopicsAcceleration
The second derivative, with respect to time, for the displacement function. Acceleration is a vector quantity. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsEven Function 
DefinitionCalculus TopicsEven Function
A function whose graph is symmetric about the yaxis. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsDerivative of a Composite Function 
DefinitionCalculus TopicsDerivative of a Composite Function
For two functions f(x) and g(x), the derivative of the composite function f(g(x)) is f'(x)*g'(x). This is an example of the Chain Rule. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsLinear Approximation 
DefinitionCalculus TopicsLinear Approximation
For differentiable function f(x), the linear approximation at x = a, for some real number a, is the equation of the line tangent to f(x) at a. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsRolle's Theorem 
DefinitionCalculus TopicsRolle's Theorem
For function f(x) along an interval [a, b], if f(a) = f(b), then there is a point along the interval where the derivative is zero. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsDerivative of a Trig Function 
DefinitionCalculus TopicsDerivative of a Trig Function
The derivative of a trig function is another trig function, as shown in the table. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsChange of Variables 
DefinitionCalculus TopicsChange of Variables
A substitution technique where a variable replaces a more complicated expression. In calculus it can simplify differentiation or integration. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsHorizontal Asymptote 
DefinitionCalculus TopicsHorizontal Asymptote
A horizontal line that the graph of a function approaches but does not intersect. The equation of a horizontal asymptote is y = c, for some constant c. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsIntegral Symbol 
DefinitionCalculus TopicsIntegral Symbol
The mathematical symbol used to denote the process of integration. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsTrapezoidal Rule 
DefinitionCalculus TopicsTrapezoidal Rule
A technique for approximating a definite integral by adding the areas of trapezoids underneath a curve. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsOneSided Limits 
DefinitionCalculus TopicsOneSided Limits
Restricting the limit of a function for values approaching the limiting value from one side. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsAbsolute Minimum 
DefinitionCalculus TopicsAbsolute Minimum
When a function takes an input value, a, for some value in the domain, such that f(a) ≤ f(x), for all x in the domain. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsDisplacement Function 
DefinitionCalculus TopicsDisplacement Function
A distancevs.time function used to find the distance an object has moved from a starting point. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsDelta y 
DefinitionCalculus TopicsDelta y
The change in ycoordinates for a given function. Often used in the formula for finding the derivative of a function. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsLimit 
DefinitionCalculus TopicsLimit
As a function f(x) approaches a specific input value a, the function may approach a specific limiting value. This limit may or may not exist. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsRiemann Sum 
DefinitionCalculus TopicsRiemann Sum
An approximation method for estimating the area under a curve and used to approximate the solution to a definite integral. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsDerivative of a Quadratic Function 
DefinitionCalculus TopicsDerivative of a Quadratic Function
Since a quadratic function is a polynomial function of degree 2, the derivative is a linear function. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsCeiling Function 
DefinitionCalculus TopicsCeiling Function
A discrete function that takes real number values and whose output is the least integer value greater than the input value. The graph looks like a staircase. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsFundamental Theorem of Calculus 
DefinitionCalculus TopicsFundamental Theorem of Calculus
The theorem that relates differentiation and integration. The two operations are basically inverses of each other. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsInstantaneous Rate of Change 
DefinitionCalculus TopicsInstantaneous Rate of Change
Another way of describing the slope of the line tangent to a given curve at a given point. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsSum Rule 
DefinitionCalculus TopicsSum Rule
For differentiable functions f(x) and g(x) along a given interval, the derivative of the sum f(x) + g(x) is the sum of the individual derivatives f'(x) and g'(x). 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsOblique Asymptote 
DefinitionCalculus TopicsOblique Asymptote
A slanted line that the graph of a function approaches but does not intersect. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsDiscontinuous Function 
DefinitionCalculus TopicsDiscontinuous Function
A function is discontinuous if it has one or more gaps along the domain of the function. The left or righthand limits exist but are not equal. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsDefinite Integral 
DefinitionCalculus TopicsDefinite Integral
The integral of a function with specific limits on the endpoints. A definite integral results in a numerical value. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsL'Hopital's Rule 
DefinitionCalculus TopicsL'Hopital's Rule
For function f(x)/g(x), where f(x) and g(x) are two functions, along an interval [a, b], if there is a point c in the interval such that g(x) = 0, then L'Hopital' 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsVertical Asymptote 
DefinitionCalculus TopicsVertical Asymptote
A vertical line that the graph of a function approaches but does not intersect. The equation of a vertical asymptote is x = c, for some constant c. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsQuotient Rule 
DefinitionCalculus TopicsQuotient Rule
The rule for finding the derivative of a function made up of the ratios of two functions f(x) and g(x). 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsDerivative of an Exponential Function 
DefinitionCalculus TopicsDerivative of an Exponential Function
The derivative of an exponential function is the product of the function and the natural log of the base. The derivative of ex is ex. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsAsymptote 
DefinitionCalculus TopicsAsymptote
A line that the graph of a function approaches but does not intersect. Asymptotes can be vertical, horizontal, or oblique. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsFirst Derivative 
DefinitionCalculus TopicsFirst Derivative
For differentiable function f(x), the first derivative is denoted as f'(x). 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsMatrix Representations of Vectors 
DefinitionCalculus TopicsMatrix Representations of Vectors
A vector quantity can be represented by a matrix. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsSigma Notation 
DefinitionCalculus TopicsSigma Notation
The Greek letter used for summarizing terms of a finite or infinite sequence. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsDifferential Equation 
DefinitionCalculus TopicsDifferential Equation
An equation that includes the derivative of a function f(x) and the variable x. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsContinuous Functions 
DefinitionCalculus TopicsContinuous Functions
A function is continuous if it has no gaps along the domain of the function. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsIndefinite Integral 
DefinitionCalculus TopicsIndefinite Integral
The integral of a function without a specific limit on the endpoints. The result of an indefinite integral is a differentiable function. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsIntermediate Value Theorem 
DefinitionCalculus TopicsIntermediate Value Theorem
For continuous function f(x) along interval [a, b] there are values between f(a) and f(b). 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsVector 
DefinitionCalculus TopicsVector
A quantity that has magnitude and direction. Vectors are often used to model realworld phenomena such as force, speed, or acceleration. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsPower Function 
DefinitionCalculus TopicsPower Function
A function with a single term that consists of a variable base raised to a real number power. The variable can also have a real number coefficient. 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsAntiderivative 
DefinitionCalculus TopicsAntiderivative
For two differentiable functions f(x) and F(x), if F'(x) = f(x), then F(x) is the antiderivative of f(x). 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsExplicit Function 
DefinitionCalculus TopicsExplicit Function
A function in which y can be written as a function of x, where y is on the left side of the equation and all terms with x are on the right side of the equation.< 
Calculus Vocabulary  
PC.F.5.5  DefinitionCalculus TopicsDerivative of a Linear Function 
DefinitionCalculus TopicsDerivative of a Linear Function
The derivative of a linear function of the form y = mx + b is the slope of the line, m. 
Calculus Vocabulary  
PC.F.5.4  Math Definitions CollectionCalculus Concepts 
This collection aggregates all the definitions for key terms in a standards Calculus course. There are a total of 88 images. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.  Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsDerivative of an Exponential Function 
DefinitionCalculus TopicsDerivative of an Exponential Function
The derivative of an exponential function is the product of the function and the natural log of the base. The derivative of ex is ex. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsAsymptote 
DefinitionCalculus TopicsAsymptote
A line that the graph of a function approaches but does not intersect. Asymptotes can be vertical, horizontal, or oblique. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsFirst Derivative 
DefinitionCalculus TopicsFirst Derivative
For differentiable function f(x), the first derivative is denoted as f'(x). 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsMatrix Representations of Vectors 
DefinitionCalculus TopicsMatrix Representations of Vectors
A vector quantity can be represented by a matrix. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsSigma Notation 
DefinitionCalculus TopicsSigma Notation
The Greek letter used for summarizing terms of a finite or infinite sequence. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsDifferential Equation 
DefinitionCalculus TopicsDifferential Equation
An equation that includes the derivative of a function f(x) and the variable x. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsContinuous Functions 
DefinitionCalculus TopicsContinuous Functions
A function is continuous if it has no gaps along the domain of the function. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsIndefinite Integral 
DefinitionCalculus TopicsIndefinite Integral
The integral of a function without a specific limit on the endpoints. The result of an indefinite integral is a differentiable function. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsIntermediate Value Theorem 
DefinitionCalculus TopicsIntermediate Value Theorem
For continuous function f(x) along interval [a, b] there are values between f(a) and f(b). 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsVector 
DefinitionCalculus TopicsVector
A quantity that has magnitude and direction. Vectors are often used to model realworld phenomena such as force, speed, or acceleration. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsPower Function 
DefinitionCalculus TopicsPower Function
A function with a single term that consists of a variable base raised to a real number power. The variable can also have a real number coefficient. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsAntiderivative 
DefinitionCalculus TopicsAntiderivative
For two differentiable functions f(x) and F(x), if F'(x) = f(x), then F(x) is the antiderivative of f(x). 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsExplicit Function 
DefinitionCalculus TopicsExplicit Function
A function in which y can be written as a function of x, where y is on the left side of the equation and all terms with x are on the right side of the equation.< 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsDerivative of a Linear Function 
DefinitionCalculus TopicsDerivative of a Linear Function
The derivative of a linear function of the form y = mx + b is the slope of the line, m. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsLocal Maximum 
DefinitionCalculus TopicsLocal Maximum
When a function takes an input value, a, for some region in the domain, such that f(a) ≥ f(x), for all x in that region. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsSecond Derivative 
DefinitionCalculus TopicsSecond Derivative
For differentiable function f(x), the second derivative is the derivative of f'(x) and denoted as f''(x). 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsDerivative of the Inverse of a Trig Function 
DefinitionCalculus TopicsDerivative of the Inverse of a Trig Function
Use implicit differentiation and the quotient rule to find the derivative of an inverse trig function. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsComposite Function 
DefinitionCalculus TopicsComposite Function
A function whose input values are made up of another function. For two functions f(x) and g(x), a composite function can be written as f(g(x)). 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsImplicit Differentiation 
DefinitionCalculus TopicsImplicit Differentiation
When a function cannot be written in the form of y as a function of x, then implicit differentation can be used to find the derivative with respect to x.< 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsIntegrand 
DefinitionCalculus TopicsIntegrand
In the process of integration, it is the function that is being integrated. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsTrig Identities 
DefinitionCalculus TopicsTrig Identities
Equations that involve trigonmetric functions and are often used to simplify certain trigonometric expressions. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsParametric Equations 
DefinitionCalculus TopicsParametric Equations
A set of equations where each variable, x and y, is a function of a third variable, t. Graphs of parametric equations are sometimes not functions. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsAbsolute Value Function 
DefinitionCalculus TopicsAbsolute Value Function
A piecewise function whose simplest form is shown below. These functions are not differentiable at their vertex. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsEnd Behavior 
DefinitionCalculus TopicsEnd Behavior
The way a function f(x) changes as x approaches infinity, whether positive or negative. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsDerivative 
DefinitionCalculus TopicsDerivative
A function used to find the slope of a tangent to a curve at a given point. The derivative is based on the following limit. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsLimits at Infinity 
DefinitionCalculus TopicsLimits at Infinity
Finding the limiting value for function f(x) as the input value x approaches infinity. This limit may or may not exist. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsRightHand Limit 
DefinitionCalculus TopicsRightHand Limit
As a function f(x) approaches a specific input value a, for xvalues greater than or equal to a, the function may approach a specific limiting value. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsDerivative of a Rational Function 
DefinitionCalculus TopicsDerivative of a Rational Function
Since a rational function is the ratio of two polynomials, the derivative of a rational function is also the ratio of two polynomials. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsChain Rule 
DefinitionCalculus TopicsChain Rule
The process for finding the derivative of a composite function. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsHooke's Law 
DefinitionCalculus TopicsHooke's Law
A secondorder differential equation that is used to model simple harmonic motion using a trigonometric function. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsIntegral 
DefinitionCalculus TopicsIntegral
A method for finding the area of a curve along an interval. In calculus, integrating a function f(x) involves finding the antiderivative of f(x). 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsTangent to a Curve 
DefinitionCalculus TopicsTangent to a Curve
A line that intersects a curve at a single point and is perpendicular to the curve at that point. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsOdd Function 
DefinitionCalculus TopicsOdd Function
A function whose graph has point symmetry about the origin. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsAbsolute Maximum 
DefinitionCalculus TopicsAbsolute Maximum
When a function takes an input value, a, for some value in the domain, such that f(a) ≥ f(x), for all x in the domain. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsDiscrete Function 
DefinitionCalculus TopicsDiscrete Function
A function whose graphs has gaps. This is because the function consists of separate ordered pairs or is a discontinuous function with gaps. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsDelta x 
DefinitionCalculus TopicsDelta x
The change in xcoordinates for a given function. Often used in the formula for finding the derivative of a function. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsLeftHand Limit 
DefinitionCalculus TopicsLeftHand Limit
As a function f(x) approaches a specific input value a, for xvalues less than or equal to a, the function may approach a specific limiting value. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsZeros of a Function 
DefinitionCalculus TopicsZeros of a Function
Where the graph of a function intersects the xaxis. The solutions to the equation f(x) = 0 for some function f(x). 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsRational Function 
DefinitionCalculus TopicsRational Function
A function made up of the ratio of two functions f(x) and g(x). 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsDerivative of a Polynomial Function 
DefinitionCalculus TopicsDerivative of a Polynomial Function
The derivative of a polynomial of degree n is another polynomial of degree n  1. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsAverage Rates of Change 
DefinitionCalculus TopicsAverage Rates of Change
The ratio along an interval of a domain for a given function, comparable to calculating the slope of a line. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsFloor Function 
DefinitionCalculus TopicsFloor Function
A discrete function that takes real number values and whose output is the greatest integer value greater than the input value. The graph looks like a staircase. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsStep Function 
DefinitionCalculus TopicsStep Function
A discontinuous function whose graph looks like a staircase. A step function can be generated by ceiling or floor functions. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsMean Value Theorem 
DefinitionCalculus TopicsMean Value Theorem
For differentiable function f(x) along the closed interval [a, b] there is a value c within that interval such that f'(c) is parallel to the secant formed by th 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsDifferentiation 
DefinitionCalculus TopicsDifferentiation
The process of finding the derivative of a function. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsConvex Function 
DefinitionCalculus TopicsConvex Function
A function whose graph curves up along an interval of the domain. The inflection point is where the first derivative is zero. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsInflection Point 
DefinitionCalculus TopicsInflection Point
The point on a curve where the curvature changes. This is often indicated by a change in the slopes of tangents to the curve. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsInverse Function 
DefinitionCalculus TopicsInverse Function
For function f(x), the inverse function f1(x), if it exists, undoes the mapping of the original function. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsVelocity 
DefinitionCalculus TopicsVelocity
The first derivative, with respect to time, for the displacement function. Velocity is a vector quantity. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsPower Rule 
DefinitionCalculus TopicsPower Rule
The process of finding the derivative of a power function. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsArea Beneath a Curve 
DefinitionCalculus TopicsArea Beneath a Curve
For a definite integral, it is the numerical result of the integration. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsExtreme Value Theorem 
DefinitionCalculus TopicsExtreme Value Theorem
For function f(x) along an interval, there are maximum and minimum values. If the derivative is zero along this interval, this is an inflection point. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsDerivative of a Logarithmic Function 
DefinitionCalculus TopicsDerivative of a Logarithmic Function
The derivative of a logarithmic function uses the laws of logarithms and the definition of e to find the derivative. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsLocal Minimum 
DefinitionCalculus TopicsLocal Minimum
When a function takes an input value, a, for some region in the domain, such that f(a) ≤ f(x), for all x in that region. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsSeparable Differential Equation 
DefinitionCalculus TopicsSeparable Differential Equation
A special type of differential equation in which functions f(x) and g(y) can be separated to find the solution to the equation. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsDifferentiable Function 
DefinitionCalculus TopicsDifferentiable Function
A function is differentiable if a derivative can be found at each point in its domain. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsConcave Function 
DefinitionCalculus TopicsConcave Function
A function whose graph curves down along an interval of the domain. The inflection point is where the first derivative is zero. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsImplicit Function 
DefinitionCalculus TopicsImplicit Function
A function in which y cannot be written as a function of x, where y is on the left side of the equation and all terms with x are on the right side of the equatio 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsIntegration by Substitution 
DefinitionCalculus TopicsIntegration by Substitution
Replacing the integrand with a simpler expression to make the process of integration easier. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsTrigonometric Function 
DefinitionCalculus TopicsTrigonometric Function
One of six main functions, including sine, cosine, tangent, secant, cosecant, and cotangent. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsPiecewise Function 
DefinitionCalculus TopicsPiecewise Function
A function made up of separate functions, each with its own interval. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsAcceleration 
DefinitionCalculus TopicsAcceleration
The second derivative, with respect to time, for the displacement function. Acceleration is a vector quantity. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsEven Function 
DefinitionCalculus TopicsEven Function
A function whose graph is symmetric about the yaxis. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsDerivative of a Composite Function 
DefinitionCalculus TopicsDerivative of a Composite Function
For two functions f(x) and g(x), the derivative of the composite function f(g(x)) is f'(x)*g'(x). This is an example of the Chain Rule. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsLinear Approximation 
DefinitionCalculus TopicsLinear Approximation
For differentiable function f(x), the linear approximation at x = a, for some real number a, is the equation of the line tangent to f(x) at a. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsRolle's Theorem 
DefinitionCalculus TopicsRolle's Theorem
For function f(x) along an interval [a, b], if f(a) = f(b), then there is a point along the interval where the derivative is zero. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsDerivative of a Trig Function 
DefinitionCalculus TopicsDerivative of a Trig Function
The derivative of a trig function is another trig function, as shown in the table. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsChange of Variables 
DefinitionCalculus TopicsChange of Variables
A substitution technique where a variable replaces a more complicated expression. In calculus it can simplify differentiation or integration. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsHorizontal Asymptote 
DefinitionCalculus TopicsHorizontal Asymptote
A horizontal line that the graph of a function approaches but does not intersect. The equation of a horizontal asymptote is y = c, for some constant c. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsIntegral Symbol 
DefinitionCalculus TopicsIntegral Symbol
The mathematical symbol used to denote the process of integration. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsTrapezoidal Rule 
DefinitionCalculus TopicsTrapezoidal Rule
A technique for approximating a definite integral by adding the areas of trapezoids underneath a curve. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsOneSided Limits 
DefinitionCalculus TopicsOneSided Limits
Restricting the limit of a function for values approaching the limiting value from one side. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsAbsolute Minimum 
DefinitionCalculus TopicsAbsolute Minimum
When a function takes an input value, a, for some value in the domain, such that f(a) ≤ f(x), for all x in the domain. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsDisplacement Function 
DefinitionCalculus TopicsDisplacement Function
A distancevs.time function used to find the distance an object has moved from a starting point. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsDelta y 
DefinitionCalculus TopicsDelta y
The change in ycoordinates for a given function. Often used in the formula for finding the derivative of a function. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsLimit 
DefinitionCalculus TopicsLimit
As a function f(x) approaches a specific input value a, the function may approach a specific limiting value. This limit may or may not exist. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsRiemann Sum 
DefinitionCalculus TopicsRiemann Sum
An approximation method for estimating the area under a curve and used to approximate the solution to a definite integral. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsDerivative of a Quadratic Function 
DefinitionCalculus TopicsDerivative of a Quadratic Function
Since a quadratic function is a polynomial function of degree 2, the derivative is a linear function. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsCeiling Function 
DefinitionCalculus TopicsCeiling Function
A discrete function that takes real number values and whose output is the least integer value greater than the input value. The graph looks like a staircase. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsFundamental Theorem of Calculus 
DefinitionCalculus TopicsFundamental Theorem of Calculus
The theorem that relates differentiation and integration. The two operations are basically inverses of each other. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsInstantaneous Rate of Change 
DefinitionCalculus TopicsInstantaneous Rate of Change
Another way of describing the slope of the line tangent to a given curve at a given point. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsSum Rule 
DefinitionCalculus TopicsSum Rule
For differentiable functions f(x) and g(x) along a given interval, the derivative of the sum f(x) + g(x) is the sum of the individual derivatives f'(x) and g'(x). 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsOblique Asymptote 
DefinitionCalculus TopicsOblique Asymptote
A slanted line that the graph of a function approaches but does not intersect. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsDiscontinuous Function 
DefinitionCalculus TopicsDiscontinuous Function
A function is discontinuous if it has one or more gaps along the domain of the function. The left or righthand limits exist but are not equal. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsDefinite Integral 
DefinitionCalculus TopicsDefinite Integral
The integral of a function with specific limits on the endpoints. A definite integral results in a numerical value. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsL'Hopital's Rule 
DefinitionCalculus TopicsL'Hopital's Rule
For function f(x)/g(x), where f(x) and g(x) are two functions, along an interval [a, b], if there is a point c in the interval such that g(x) = 0, then L'Hopital' 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsVertical Asymptote 
DefinitionCalculus TopicsVertical Asymptote
A vertical line that the graph of a function approaches but does not intersect. The equation of a vertical asymptote is x = c, for some constant c. 
Calculus Vocabulary  
PC.F.5.4  DefinitionCalculus TopicsQuotient Rule 
DefinitionCalculus TopicsQuotient Rule
The rule for finding the derivative of a function made up of the ratios of two functions f(x) and g(x). 
Calculus Vocabulary  
PC.F.5.3  Math Video Collection: Texas Instruments Tutorial Videos 
This collection aggregates all the math videos and resources in this series: Texas Instruments Tutorial Videos. There are a total of 266 resources.  Rational Expressions, Sequences, Series, Polynomial Functions and Equations, Graphs of Quadratic Functions, Quadratic Equations and Functions, Solving Systems of Equations, Trig Expressions and Identities, Probability, Geometric Constructions with Triangles, Composite Functions, Geometric Constructions with Angles and Planes, Distance Formula, Data Analysis, Slope, Special Functions, Trigonometric Functions, Graphs of Exponential and Logarithmic Functions, Radical Functions and Equations, Rational Functions and Equations, SlopeIntercept Form, Coordinate Systems, Graphs of Linear Functions, Inequalities, Matrix Operations and Midpoint Formula  
PC.F.5.3  Video Transcript: TINspire MiniTutorial: Composite Functions, Linear to Rational 
Video Transcript: TINspire MiniTutorial: Composite Functions, Linear to Rational  Composite Functions  
PC.F.5.3  VIDEO: TiNspire MiniTutorial, Video 48 
VIDEO: TINspire MiniTutorial: Composite Functions: Linear to Linear
In this TI Nspire tutorial for the TINspire CAS, we explore mapping one 
Composite Functions  
PC.F.5.3  Closed Captioned Video: Comp Functions, Lin to Exponential 
Closed Captioned Video: Comp Functions, Lin to Exponential
In this TI Nspire tutorial for the TINspire CAS, we explore mapping one linear function toan exponential function. 
Composite Functions  
PC.F.5.3  VIDEO: TiNspire MiniTutorial, Video 40 
VIDEO: TINspire MiniTutorial: Composite Functions, Linear to Exponential
In this TI Nspire tutorial for the TINspire CAS, we explore mapping 
Composite Functions  
PC.F.5.3  Closed Captioned Video: Comp Functions, Lin to Rational 
Closed Captioned Video: Comp Functions, Lin to Rational
In this TI Nspire tutorial for the TINspire CAS, we explore mapping one linear function to a rational function. 
Composite Functions  
PC.F.5.3  VIDEO: TiNspire MiniTutorial, Video 47 
VIDEO: TINspire MiniTutorial: Composite Functions, Linear to Trigonometric
In this TI Nspire tutorial for the TINspire CAS, we explore mappi 
Composite Functions  
PC.F.5.3  Video Transcript: TINspire MiniTutorial: Composite Functions, Linear to Radical 
Video Transcript: TINspire MiniTutorial: Composite Functions, Linear to Radical  Composite Functions  
PC.F.5.3  VIDEO: TiNspire MiniTutorial, Video 60 
VIDEO: TINspire MiniTutorial: Exploring Cosine Curve Properties Using Sliders
In this TI Nspire tutorialthe Graphing window is used to create a sliderbased graph of a cosine curve to explore its properties 
Trigonometric Functions  
PC.F.5.3  Closed Captioned Video: Composite Functions, Linear to Cubic 
Closed Captioned Video: Composite Functions, Linear to Cubic  Composite Functions  
PC.F.5.3  VIDEO: TiNspire MiniTutorial, Video 39 
VIDEO: TINspire MiniTutorial: Composite Functions, Linear to Cubic
In this TI Nspire tutorial for the TINspire CAS, we explore composite fun 
Composite Functions  
PC.F.5.3  Closed Captioned Video: Composite Functions, Linear to Radical 
Closed Captioned Video: Composite Functions, Linear to Radical  Composite Functions  
PC.F.5.3  VIDEO: TiNspire MiniTutorial, Video 45 
VIDEO: TINspire MiniTutorial: Composite Functions, Linear to Radical
In this TI Nspire tutorial for the TINspire CAS, we explore mapping one 
Composite Functions  
PC.F.5.3  Video Transcript: TINspire MiniTutorial: Composite Functions, Linear to Quartic 
Video Transcript: TINspire MiniTutorial: Composite Functions, Linear to Quartic  Composite Functions  
PC.F.5.3  VIDEO: TiNspire MiniTutorial, Video 67 
VIDEO: TINspire MiniTutorial: Exploring Sine Curve Properties Using Sliders
In this TI Nspire tutorialthe Graphing window is used to create a sliderbased graph of a sine curve to explore its properties. 
Trigonometric Functions  
PC.F.5.3  VIDEO: TiNspire MiniTutorial, Video 59 
VIDEO: TINspire MiniTutorial: Exploring Composite Functions  Composite Functions  
PC.F.5.3  Video Transcript: TINspire MiniTutorial: Composite Functions, Linear to Cubic 
Video Transcript: TINspire MiniTutorial: Composite Functions, Linear to Cubic  Composite Functions  
PC.F.5.3  Closed Captioned Video: Composite Functions, Linear to Quartic 
Closed Captioned Video: Composite Functions, Linear to Quartic  Composite Functions  
PC.F.5.3  VIDEO: TiNspire MiniTutorial, Video 44 
VIDEO: TINspire MiniTutorial: Composite Functions, Linear to Quartic
In this TI Nspire tutorial for the TINspire CAS, we explore mapping one 
Composite Functions  
PC.F.5.3  Video Transcript: TINspire MiniTutorial: Composite Functions, Linear to Polynomial 
Video Transcript: TINspire MiniTutorial: Composite Functions, Linear to Polynomial  Composite Functions  
PC.F.5.3  Video Transcript: TINspire MiniTutorial: Composite Functions: Linear to Quadratic 
Video Transcript: TINspire MiniTutorial: Composite Functions: Linear to Quadratic  Composite Functions  
PC.F.5.3  Closed Captioned Video: Comp Functions, Lin to Polynomial 
Closed Captioned Video: Comp Functions, Lin to Polynomial
In this TI Nspire tutorial for the TINspire CAS, we explore mapping one linear function to a polynomial function. 
Composite Functions  
PC.F.5.3  VIDEO: TiNspire MiniTutorial, Video 43 
VIDEO: TINspire MiniTutorial: Composite Functions, Linear to Polynomial
In this TI Nspire tutorial for the TINspire CAS, we explore mapping 
Composite Functions  
PC.F.5.3  Video Transcript: TINspire MiniTutorial: Composite Functions, Linear to Logarithmic 
Video Transcript: TINspire MiniTutorial: Composite Functions, Linear to Logarithmic  Composite Functions  
PC.F.5.3  Closed Captioned Video: Comp Functions: Lin to Quadratic 
Closed Captioned Video: Comp Functions: Lin to Quadratic
In this TI Nspire tutorial for the TINspire CAS, we explore mapping a linear function to a quadratic. 
Composite Functions  
PC.F.5.3  Video Transcript: TINspire MiniTutorial: Composite Functions: Linear to Linear 
Video Transcript: TINspire MiniTutorial: Composite Functions: Linear to Linear
This is the transcript for the TINspire MiniTutorial entitled, Composite Functions: Linear to Linear. 
Composite Functions  
PC.F.5.3  Closed Captioned Video: Comp Functions, Lin to Logarithmic 
Closed Captioned Video: Comp Functions, Lin to Logarithmic
In this TI Nspire tutorial for the TINspire CAS, we explore mapping one linear function to a logarithmic function. 
Composite Functions  
PC.F.5.3  VIDEO: TiNspire MiniTutorial, Video 41 
VIDEO: TINspire MiniTutorial: Composite Functions, Linear to Linear with Sliders
In this TI Nspire tutorial for the TINspire CAS, we explore 
Composite Functions  
PC.F.5.3  Video Transcript: TINspire MiniTutorial: Composite Functions, Linear to Linear with Sliders 
Video Transcript: TINspire MiniTutorial: Composite Functions, Linear to Linear with Sliders  Composite Functions  
PC.F.5.3  Closed Captioned Video: Composite Functions: Linear to Linear 
Closed Captioned Video: Composite Functions: Linear to Linear  Composite Functions  
PC.F.5.3  VIDEO: TiNspire MiniTutorial, Video 69 
VIDEO: TINspire MiniTutorial: Finding the Intersection Point of Two Graphs
In this TI Nspire tutorial, the Graph window is used to graph two functions and finding the point of intersection. 
Coordinate Systems  
PC.F.5.3  Video Transcript: TINspire MiniTutorial: Composite Functions, Linear to Trigonometric 
Video Transcript: TINspire MiniTutorial: Composite Functions, Linear to Trigonometric  Composite Functions  
PC.F.5.3  VIDEO: TiNspire MiniTutorial, Video 49 
VIDEO: TINspire MiniTutorial: Composite Functions: Linear to Quadratic
In this TI Nspire tutorial for the TINspire CAS, we explore mapping a 
Composite Functions  
PC.F.5.3  Closed Captioned Video: Comp Functions, Lin to Lin w Sliders 
Closed Captioned Video: Comp Functions, Lin to Lin w Sliders
In this TI Nspire tutorial for the TINspire CAS, we explore mapping one linear function to another linear function using sliders. 
Composite Functions  
PC.F.5.3  VIDEO: TiNspire MiniTutorial, Video 42 
VIDEO: TINspire MiniTutorial: Composite Functions, Linear to Logarithmic
In this TI Nspire tutorial for the TINspire CAS, we explore mapping 
Composite Functions  
PC.F.5.3  Closed Captioned Video: Comp Functions, Lin to Trigonometric 
Closed Captioned Video: Comp Functions, Lin to Trigonometric
In this TI Nspire tutorial for the TINspire CAS, we explore mapping one linear function to a trigonometric function. 
Composite Functions  
PC.F.5.3  VIDEO: TiNspire MiniTutorial, Video 46 
VIDEO: TINspire MiniTutorial: Composite Functions, Linear to Rational
In this TI Nspire tutorial for the TINspire CAS, we explore mapping on 
Composite Functions  
PC.F.5.1  Math Definitions CollectionCalculus Concepts 
This collection aggregates all the definitions for key terms in a standards Calculus course. There are a total of 88 images. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.  Calculus Vocabulary  
PC.F.5.1  DefinitionCalculus TopicsLimit 
DefinitionCalculus TopicsLimit
As a function f(x) approaches a specific input value a, the function may approach a specific limiting value. This limit may or may not exist. 
Calculus Vocabulary  
PC.F.5.1  DefinitionCalculus TopicsRiemann Sum 
DefinitionCalculus TopicsRiemann Sum
An approximation method for estimating the area under a curve and used to approximate the solution to a definite integral. 
Calculus Vocabulary  
PC.F.5.1  DefinitionCalculus TopicsDerivative of a Quadratic Function 
DefinitionCalculus TopicsDerivative of a Quadratic Function
Since a quadratic function is a polynomial function of degree 2, the derivative is a linear function. 
Calculus Vocabulary  
PC.F.5.1  DefinitionCalculus TopicsCeiling Function 
DefinitionCalculus TopicsCeiling Function
A discrete function that takes real number values and whose output is the least integer value greater than the input value. The graph looks like a staircase. 
Calculus Vocabulary  
PC.F.5.1  DefinitionCalculus TopicsFundamental Theorem of Calculus 
DefinitionCalculus TopicsFundamental Theorem of Calculus
The theorem that relates differentiation and integration. The two operations are basically inverses of each other. 
Calculus Vocabulary  
PC.F.5.1  DefinitionCalculus TopicsInstantaneous Rate of Change 
DefinitionCalculus TopicsInstantaneous Rate of Change
Another way of describing the slope of the line tangent to a given curve at a given point. 
Calculus Vocabulary 