Title | Description | Thumbnail Image | Curriculum Topics |
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Math Definitions Collection: Rationals and Radicals |
Rational Functions and Equations, Radical Expressions, Radical Functions and Equations and Rational Expressions | ||
Math Video Definitions Collection: Rationals and Radicals |
Rational Functions and Equations, Radical Expressions, Radical Functions and Equations and Rational Expressions | ||
VIDEO: Algebra Nspirations: Quadratic Functions |
VIDEO: Algebra Nspirations: Quadratic FunctionsIn this program, the TI-Nspire is used to explore the nature of quadratic functions. Examples ranging from space travel and projectile motion provide real-world examples for discovering algebraic concepts. All examples are solved graphically. |
Applications of Quadratic Functions and Graphs of Quadratic Functions | |
Closed Captioned Video: Algebra Nspirations: Quadratic Functions |
Closed Captioned Video: Algebra Nspirations: Quadratic FunctionsIn this program, the TI-Nspire is used to explore the nature of quadratic functions. Examples ranging from space travel and projectile motion provide real-world examples for discovering algebraic concepts. All examples are solved graphically. |
Applications of Quadratic Functions and Graphs of Quadratic Functions | |
Definition--Calculus Topics--Absolute Maximum |
Definition--Calculus Topics--Absolute MaximumWhen 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 | |
Definition--Calculus Topics--Absolute Minimum |
Definition--Calculus Topics--Absolute MinimumWhen 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 | |
Definition--Calculus Topics--Absolute Value Function |
Definition--Calculus Topics--Absolute Value FunctionA piecewise function whose simplest form is shown below. These functions are not differentiable at their vertex. |
Calculus Vocabulary | |
Definition--Calculus Topics--Acceleration |
Definition--Calculus Topics--AccelerationThe second derivative, with respect to time, for the displacement function. Acceleration is a vector quantity. |
Calculus Vocabulary | |
Definition--Calculus Topics--Antiderivative |
Definition--Calculus Topics--AntiderivativeFor two differentiable functions f(x) and F(x), if F'(x) = f(x), then F(x) is the antiderivative of f(x). |
Calculus Vocabulary | |
Definition--Calculus Topics--Area Beneath a Curve |
Definition--Calculus Topics--Area Beneath a CurveFor a definite integral, it is the numerical result of the integration. For an indefinite integral, it is the resulting function from the integration for calculating the area. |
Calculus Vocabulary | |
Definition--Calculus Topics--Asymptote |
Definition--Calculus Topics--AsymptoteA line that the graph of a function approaches but does not intersect. Asymptotes can be vertical, horizontal, or oblique. |
Calculus Vocabulary | |
Definition--Calculus Topics--Average Rates of Change |
Definition--Calculus Topics--Average Rates of ChangeThe ratio along an interval of a domain for a given function, comparable to calculating the slope of a line. The average rate of change is found using this formula. |
Calculus Vocabulary | |
Definition--Calculus Topics--Ceiling Function |
Definition--Calculus Topics--Ceiling FunctionA 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 | |
Definition--Calculus Topics--Chain Rule |
Definition--Calculus Topics--Chain RuleThe process for finding the derivative of a composite function. |
Calculus Vocabulary | |
Definition--Calculus Topics--Change of Variables |
Definition--Calculus Topics--Change of VariablesA substitution technique where a variable replaces a more complicated expression. In calculus it can simplify differentiation or integration. |
Calculus Vocabulary | |
Definition--Calculus Topics--Composite Function |
Definition--Calculus Topics--Composite FunctionA 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 | |
Definition--Calculus Topics--Concave Function |
Definition--Calculus Topics--Concave FunctionA function whose graph curves down along an interval of the domain. The inflection point is where the first derivative is zero. |
Calculus Vocabulary | |
Definition--Calculus Topics--Continuous Functions |
Definition--Calculus Topics--Continuous FunctionsA function is continuous if it has no gaps along the domain of the function. For some value a in the domain of function f(x), the limit as x approaches a is f(a). |
Calculus Vocabulary | |
Definition--Calculus Topics--Convex Function |
Definition--Calculus Topics--Convex FunctionA function whose graph curves up along an interval of the domain. The inflection point is where the first derivative is zero. |
Calculus Vocabulary | |
Definition--Calculus Topics--Definite Integral |
Definition--Calculus Topics--Definite IntegralThe integral of a function with specific limits on the endpoints. A definite integral results in a numerical value. |
Calculus Vocabulary | |
Definition--Calculus Topics--Delta x |
Definition--Calculus Topics--Delta xThe change in x-coordinates for a given function. Often used in the formula for finding the derivative of a function. |
Calculus Vocabulary | |
Definition--Calculus Topics--Delta y |
Definition--Calculus Topics--Delta yThe change in y-coordinates for a given function. Often used in the formula for finding the derivative of a function. |
Calculus Vocabulary | |
Definition--Calculus Topics--Derivative |
Definition--Calculus Topics--DerivativeA 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 | |
Definition--Calculus Topics--Derivative of a Composite Function |
Definition--Calculus Topics--Derivative of a Composite FunctionFor 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 | |
Definition--Calculus Topics--Derivative of a Linear Function |
Definition--Calculus Topics--Derivative of a Linear FunctionThe derivative of a linear function of the form y = mx + b is the slope of the line, m. |
Calculus Vocabulary |