FL-Grade-HS-FN: MAFS.912.F-BF.1.1

These are the resources that support this Florida Standard.

MAFS.912.F-BF.1.1: Write a function that describes a relationship between two quantities.
a. Determine an explicit expression, a recursive process, or steps for calculation from a context.
b. Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.
c. Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.

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Link to the GoogleEarth site.
Texas Instruments. TI is the leading provider of graphing calculators used in the classroom. Media4Math has partnered with TI to create a library of digital resources to support the use of these graphing calculators. These resources include videos, presentations, and related tutorials. See our collection of TI resources by clicking on this link to the TI resources.

Link to the Media4Math publisher page on the TI site.
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Link to the Desmos site.
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Link to the Media4Math Study Sets on Quizlet and search for "Media4Math."
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Link to the Princeton Review site.

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Title	Description	Curriculum Topics
Definition--Calculus Topics--Rolle's Theorem	Definition--Calculus Topics--Rolle'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
Definition--Calculus Topics--Second Derivative	Definition--Calculus Topics--Second Derivative For differentiable function f(x), the second derivative is the derivative of f'(x) and denoted as f''(x).	Calculus Vocabulary
Definition--Calculus Topics--Separable Differential Equation	Definition--Calculus Topics--Separable 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
Definition--Calculus Topics--Sigma Notation	Definition--Calculus Topics--Sigma Notation The Greek letter used for summarizing terms of a finite or infinite sequence.	Calculus Vocabulary
Definition--Calculus Topics--Step Function	Definition--Calculus Topics--Step Function A discontinuous function whose graph looks like a staircase. A step function can be generated by ceiling or floor functions.	Calculus Vocabulary
Definition--Calculus Topics--Sum Rule	Definition--Calculus Topics--Sum 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
Definition--Calculus Topics--Tangent to a Curve	Definition--Calculus Topics--Tangent to a Curve A line that intersects a curve at a single point and is perpendicular to the curve at that point. In calculus the derivative of a differentiable function f(x) is f'(x) and can be used to find the slope of tangent to the curve for a given point.	Calculus Vocabulary
Definition--Calculus Topics--Trapezoidal Rule	Definition--Calculus Topics--Trapezoidal Rule A technique for approximating a definite integral by adding the areas of trapezoids underneath a curve.	Calculus Vocabulary
Definition--Calculus Topics--Trig Identities	Definition--Calculus Topics--Trig Identities Equations that involve trigonmetric functions and are often used to simplify certain trigonometric expressions.	Calculus Vocabulary
Definition--Calculus Topics--Trigonometric Function	Definition--Calculus Topics--Trigonometric Function One of six main functions, including sine, cosine, tangent, secant, cosecant, and cotangent.	Calculus Vocabulary
Definition--Calculus Topics--Vector	Definition--Calculus Topics--Vector A quantity that has magnitude and direction. Vectors are often used to model real-world phenomena such as force, speed, or acceleration.	Calculus Vocabulary
Definition--Calculus Topics--Velocity	Definition--Calculus Topics--Velocity The first derivative, with respect to time, for the displacement function. Velocity is a vector quantity.	Calculus Vocabulary
Definition--Calculus Topics--Vertical Asymptote	Definition--Calculus Topics--Vertical 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
Definition--Calculus Topics--Zeros of a Function	Definition--Calculus Topics--Zeros of a Function Where the graph of a function intersects the x-axis. The solutions to the equation f(x) = 0 for some function f(x).	Calculus Vocabulary
Definition--Functions and Relations Concepts--Absolute Value Function	Definition--Functions and Relations Concepts--Absolute Value Function This is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.	Special Functions
Definition--Functions and Relations Concepts--Composite Function	Definition--Functions and Relations Concepts--Composite Function Quizlet Flash Cards: Composite FunctionsThis is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.	Composite Functions
Definition--Functions and Relations Concepts--Conic Sections	Definition--Functions and Relations Concepts--Conic Sections This is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.	Conic Sections
Definition--Functions and Relations Concepts--Constant Function	Definition--Functions and Relations Concepts--Constant Function This is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.	Relations and Functions
Definition--Functions and Relations Concepts--Continuous Function	Definition--Functions and Relations Concepts--Continuous Function This is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.	Relations and Functions
Definition--Functions and Relations Concepts--Decreasing Function	Definition--Functions and Relations Concepts--Decreasing Function This is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.	Relations and Functions
Definition--Functions and Relations Concepts--Dependent Variable	Definition--Functions and Relations Concepts--Dependent Variable This is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.	Relations and Functions
Definition--Functions and Relations Concepts--Discontinuous Function	Definition--Functions and Relations Concepts--Discontinuous Function This is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.	Relations and Functions
Definition--Functions and Relations Concepts--Discrete Functions	Definition--Functions and Relations Concepts--Discrete Functions This is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.	Special Functions
Definition--Functions and Relations Concepts--Distorting a Function Horizontally	Definition--Functions and Relations Concepts--Distorting a Function Horizontally This is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.	Relations and Functions
Definition--Functions and Relations Concepts--Distorting a Function Vertically	Definition--Functions and Relations Concepts--Distorting a Function Vertically This is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.	Relations and Functions

These are the resources that support this Florida Standard.

Definition--Calculus Topics--Rolle'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.

Definition--Calculus Topics--Second Derivative For differentiable function f(x), the second derivative is the derivative of f'(x) and denoted as f''(x).

Definition--Calculus Topics--Separable 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.

Definition--Calculus Topics--Sigma Notation The Greek letter used for summarizing terms of a finite or infinite sequence.

Definition--Calculus Topics--Step Function A discontinuous function whose graph looks like a staircase. A step function can be generated by ceiling or floor functions.

Definition--Calculus Topics--Sum 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).

Definition--Calculus Topics--Tangent to a Curve A line that intersects a curve at a single point and is perpendicular to the curve at that point. In calculus the derivative of a differentiable function f(x) is f'(x) and can be used to find the slope of tangent to the curve for a given point.

Definition--Calculus Topics--Trapezoidal Rule A technique for approximating a definite integral by adding the areas of trapezoids underneath a curve.

Definition--Calculus Topics--Trig Identities Equations that involve trigonmetric functions and are often used to simplify certain trigonometric expressions.

Definition--Calculus Topics--Trigonometric Function One of six main functions, including sine, cosine, tangent, secant, cosecant, and cotangent.

Definition--Calculus Topics--Vector A quantity that has magnitude and direction. Vectors are often used to model real-world phenomena such as force, speed, or acceleration.

Definition--Calculus Topics--Velocity The first derivative, with respect to time, for the displacement function. Velocity is a vector quantity.

Definition--Calculus Topics--Vertical 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.

Definition--Calculus Topics--Zeros of a Function Where the graph of a function intersects the x-axis. The solutions to the equation f(x) = 0 for some function f(x).

Definition--Functions and Relations Concepts--Conic Sections This is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.

About Media4Math

Our Mission

About Media4Math Library

About Media4Math Classroom

The Media4Math Bundle

Partnering with Media4Math

© Media4Math. All rights reserved

Definition--Calculus Topics--Rolle'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.

Definition--Calculus Topics--Second Derivative
For differentiable function f(x), the second derivative is the derivative of f'(x) and denoted as f''(x).

Definition--Calculus Topics--Separable 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.

Definition--Calculus Topics--Sigma Notation
The Greek letter used for summarizing terms of a finite or infinite sequence.

Definition--Calculus Topics--Step Function
A discontinuous function whose graph looks like a staircase. A step function can be generated by ceiling or floor functions.

Definition--Calculus Topics--Sum 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).

Definition--Calculus Topics--Tangent to a Curve
A line that intersects a curve at a single point and is perpendicular to the curve at that point. In calculus the derivative of a differentiable function f(x) is f'(x) and can be used to find the slope of tangent to the curve for a given point.

Definition--Calculus Topics--Trapezoidal Rule
A technique for approximating a definite integral by adding the areas of trapezoids underneath a curve.

Definition--Calculus Topics--Trig Identities
Equations that involve trigonmetric functions and are often used to simplify certain trigonometric expressions.

Definition--Calculus Topics--Trigonometric Function
One of six main functions, including sine, cosine, tangent, secant, cosecant, and cotangent.

Definition--Calculus Topics--Vector
A quantity that has magnitude and direction. Vectors are often used to model real-world phenomena such as force, speed, or acceleration.

Definition--Calculus Topics--Velocity
The first derivative, with respect to time, for the displacement function. Velocity is a vector quantity.

Definition--Calculus Topics--Vertical 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.

Definition--Calculus Topics--Zeros of a Function
Where the graph of a function intersects the x-axis. The solutions to the equation f(x) = 0 for some function f(x).

Definition--Functions and Relations Concepts--Conic Sections
This is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms.