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This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

Quizlet Flash Cards: Composite FunctionsThis is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

Quizlet Flash Cards: Composite FunctionsThis is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

Quizlet Flash Cards: Composite FunctionsThis is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is a continuation of our exploration of the Fibonacci Sequence. In this lesson we look at the sequence as a logarithmic spiral.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is a continuation of our exploration of the Fibonacci Sequence. In this lesson we look at the Golden Ratio phi.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

The year 2023 is the Year of the Rabbit in the Chinese Zodiac. Media4Math would also like to make this the Year of Fibonacci.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

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.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is a continuation of our exploration of the Fibonacci Sequence. In this lesson we look at geometric constructions that reflect the golden ratio.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is a continuation of our exploration of the Fibonacci Sequence. In this lesson we look at the Golden Ratio phi.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math worksheets on the use of the TI-Nspire graphing

In this TI Nspire tutorial for the TI-Nspire CAS, the Graphing window is used to find the sum

In this TI Nspire tutorial for the TI-Nspire CAS, the Graphing window is used to find the sum of sequence of consecutive odd integers, as well as deriving the general f

This is part of a collection of math worksheets on the use of the TI-Nspire graphing calc

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Exploring ind

In this TI Nspire tutorial for the TI-Nspire CAS, the Graphing window is used to find the sum of sequence of consecutive integers, as well as deriving the general formu

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Exploring inducti

In this TI Nspire tutorial for the TI-Nspire CAS, the Graphing window is used to find the

In this TI Nspire tutorial for the TI-Nspire CAS, the Graphing window is used to find the

This is part of a collection of math worksheets on the use of the TI-Nspire graphing

In this TI Nspire tutorial for the TI-Nspire CAS, the Graphing window is used to find the sum

In this TI Nspire tutorial for the TI-Nspire CAS, the Graphing window is used to find the sum of sequence of consecutive odd integers, as well as deriving the general f

This is part of a collection of math worksheets on the use of the TI-Nspire graphing calc

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Exploring ind

In this TI Nspire tutorial for the TI-Nspire CAS, the Graphing window is used to find the sum of sequence of consecutive integers, as well as deriving the general formu

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Exploring inducti

Since a rational function is the ratio of two polynomials, the derivative of a rational function is also the ratio of two polynomials.

The process for finding the derivative of a composite function.

A second-order differential equation that is used to model simple harmonic motion using a trigonometric function.

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).

A line that intersects a curve at a single point and is perpendicular to the curve at that point.

A function whose graph has point symmetry about the origin.

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.

A function whose graphs has gaps. This is because the function consists of separate ordered pairs or is a discontinuous function with gaps.

The change in x-coordinates for a given function. Often used in the formula for finding the derivative of a function.

As a function f(x) approaches a specific input value a, for x-values less than or equal to a, the function may approach a specific limiting value.

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

A function made up of the ratio of two functions f(x) and g(x).

The derivative of a polynomial of degree n is another polynomial of degree n - 1.

The ratio along an interval of a domain for a given function, comparable to calculating the slope of a line.

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.

A discontinuous function whose graph looks like a staircase. A step function can be generated by ceiling or floor functions.

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

The process of finding the derivative of a function.

A function whose graph curves up along an interval of the domain. The inflection point is where the first derivative is zero.

The point on a curve where the curvature changes. This is often indicated by a change in the slopes of tangents to the curve.

For function f(x), the inverse function f-1(x), if it exists, undoes the mapping of the original function.

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

The process of finding the derivative of a power function.

For a definite integral, it is the numerical result of the integration.

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.

The derivative of a logarithmic function uses the laws of logarithms and the definition of e to find the derivative.

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.

A special type of differential equation in which functions f(x) and g(y) can be separated to find the solution to the equation.

A function is differentiable if a derivative can be found at each point in its domain.

A function whose graph curves down along an interval of the domain. The inflection point is where the first derivative is zero.

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

Replacing the integrand with a simpler expression to make the process of integration easier.

One of six main functions, including sine, cosine, tangent, secant, cosecant, and cotangent.

A function made up of separate functions, each with its own interval.

The second derivative, with respect to time, for the displacement function. Acceleration is a vector quantity.

A function whose graph is symmetric about the y-axis.

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.

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.

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.

The derivative of a trig function is another trig function, as shown in the table.

A substitution technique where a variable replaces a more complicated expression. In calculus it can simplify differentiation or integration.

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.

The mathematical symbol used to denote the process of integration.

A technique for approximating a definite integral by adding the areas of trapezoids underneath a curve.

Restricting the limit of a function for values approaching the limiting value from one side.

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.

A distance-vs.-time function used to find the distance an object has moved from a starting point.

The change in y-coordinates for a given function. Often used in the formula for finding the derivative of a function.

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.

An approximation method for estimating the area under a curve and used to approximate the solution to a definite integral.

Since a quadratic function is a polynomial function of degree 2, the derivative is a linear 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.

The theorem that relates differentiation and integration. The two operations are basically inverses of each other.

Another way of describing the slope of the line tangent to a given curve at a given point.

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).

A slanted line that the graph of a function approaches but does not intersect.

A function is discontinuous if it has one or more gaps along the domain of the function. The left- or right-hand limits exist but are not equal.

The integral of a function with specific limits on the endpoints. A definite integral results in a numerical value.

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'

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.

The rule for finding the derivative of a function made up of the ratios of two functions f(x) and g(x).

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.

A line that the graph of a function approaches but does not intersect. Asymptotes can be vertical, horizontal, or oblique.

For differentiable function f(x), the first derivative is denoted as f'(x).

The Greek letter used for summarizing terms of a finite or infinite sequence.

A vector quantity can be represented by a matrix.

An equation that includes the derivative of a function f(x) and the variable x.

A function is continuous if it has no gaps along the domain of the function.

The integral of a function without a specific limit on the endpoints. The result of an indefinite integral is a differentiable function.

For continuous function f(x) along interval [a, b] there are values between f(a) and f(b).

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

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.

For two differentiable functions f(x) and F(x), if F'(x) = f(x), then F(x) is the antiderivative of f(x).

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.<

The derivative of a linear function of the form y = mx + b is the slope of the line, m.

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.

For differentiable function f(x), the second derivative is the derivative of f'(x) and denoted as f''(x).

Use implicit differentiation and the quotient rule to find the derivative of an inverse trig 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)).

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.<

In the process of integration, it is the function that is being integrated.

Equations that involve trigonmetric functions and are often used to simplify certain trigonometric expressions.

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.

A piecewise function whose simplest form is shown below. These functions are not differentiable at their vertex.

The way a function f(x) changes as x approaches infinity, whether positive or negative.

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.

Finding the limiting value for function f(x) as the input value x approaches infinity. This limit may or may not exist.

As a function f(x) approaches a specific input value a, for x-values greater than or equal to a, the function may approach a specific limiting value.

This set of tutorials provides 18 examples that explore the concept of functions and their inverses.

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.

For differentiable function f(x), the second derivative is the derivative of f'(x) and denoted as f''(x).

Use implicit differentiation and the quotient rule to find the derivative of an inverse trig 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)).

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.<

In the process of integration, it is the function that is being integrated.

Equations that involve trigonmetric functions and are often used to simplify certain trigonometric expressions.

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.

A piecewise function whose simplest form is shown below. These functions are not differentiable at their vertex.

The way a function f(x) changes as x approaches infinity, whether positive or negative.

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.

Finding the limiting value for function f(x) as the input value x approaches infinity. This limit may or may not exist.

As a function f(x) approaches a specific input value a, for x-values greater than or equal to a, the function may approach a specific limiting value.

Since a rational function is the ratio of two polynomials, the derivative of a rational function is also the ratio of two polynomials.

The process for finding the derivative of a composite function.

A second-order differential equation that is used to model simple harmonic motion using a trigonometric function.

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).

A line that intersects a curve at a single point and is perpendicular to the curve at that point.

A function whose graph has point symmetry about the origin.

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.

A function whose graphs has gaps. This is because the function consists of separate ordered pairs or is a discontinuous function with gaps.

The change in x-coordinates for a given function. Often used in the formula for finding the derivative of a function.

As a function f(x) approaches a specific input value a, for x-values less than or equal to a, the function may approach a specific limiting value.

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

A function made up of the ratio of two functions f(x) and g(x).

The derivative of a polynomial of degree n is another polynomial of degree n - 1.

The ratio along an interval of a domain for a given function, comparable to calculating the slope of a line.

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.

A discontinuous function whose graph looks like a staircase. A step function can be generated by ceiling or floor functions.

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

The process of finding the derivative of a function.

A function whose graph curves up along an interval of the domain. The inflection point is where the first derivative is zero.

The point on a curve where the curvature changes. This is often indicated by a change in the slopes of tangents to the curve.

For function f(x), the inverse function f-1(x), if it exists, undoes the mapping of the original function.

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

The process of finding the derivative of a power function.

For a definite integral, it is the numerical result of the integration.

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.

The derivative of a logarithmic function uses the laws of logarithms and the definition of e to find the derivative.

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.

A special type of differential equation in which functions f(x) and g(y) can be separated to find the solution to the equation.

A function is differentiable if a derivative can be found at each point in its domain.

A function whose graph curves down along an interval of the domain. The inflection point is where the first derivative is zero.

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

Replacing the integrand with a simpler expression to make the process of integration easier.

One of six main functions, including sine, cosine, tangent, secant, cosecant, and cotangent.

A function made up of separate functions, each with its own interval.

The second derivative, with respect to time, for the displacement function. Acceleration is a vector quantity.

A function whose graph is symmetric about the y-axis.

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.

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.

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.

The derivative of a trig function is another trig function, as shown in the table.

A substitution technique where a variable replaces a more complicated expression. In calculus it can simplify differentiation or integration.

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.

The mathematical symbol used to denote the process of integration.

A technique for approximating a definite integral by adding the areas of trapezoids underneath a curve.

Restricting the limit of a function for values approaching the limiting value from one side.

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.

A distance-vs.-time function used to find the distance an object has moved from a starting point.

The change in y-coordinates for a given function. Often used in the formula for finding the derivative of a function.

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.

An approximation method for estimating the area under a curve and used to approximate the solution to a definite integral.

Since a quadratic function is a polynomial function of degree 2, the derivative is a linear 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.

The theorem that relates differentiation and integration. The two operations are basically inverses of each other.

Another way of describing the slope of the line tangent to a given curve at a given point.

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).

A slanted line that the graph of a function approaches but does not intersect.

A function is discontinuous if it has one or more gaps along the domain of the function. The left- or right-hand limits exist but are not equal.

The integral of a function with specific limits on the endpoints. A definite integral results in a numerical value.

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'

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.

The rule for finding the derivative of a function made up of the ratios of two functions f(x) and g(x).

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.

A line that the graph of a function approaches but does not intersect. Asymptotes can be vertical, horizontal, or oblique.

For differentiable function f(x), the first derivative is denoted as f'(x).

A vector quantity can be represented by a matrix.

The Greek letter used for summarizing terms of a finite or infinite sequence.

An equation that includes the derivative of a function f(x) and the variable x.

A function is continuous if it has no gaps along the domain of the function.

The integral of a function without a specific limit on the endpoints. The result of an indefinite integral is a differentiable function.

For continuous function f(x) along interval [a, b] there are values between f(a) and f(b).

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

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.

For two differentiable functions f(x) and F(x), if F'(x) = f(x), then F(x) is the antiderivative of f(x).

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.<

The derivative of a linear function of the form y = mx + b is the slope of the line, m.

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.

A line that the graph of a function approaches but does not intersect. Asymptotes can be vertical, horizontal, or oblique.

For differentiable function f(x), the first derivative is denoted as f'(x).

A vector quantity can be represented by a matrix.

The Greek letter used for summarizing terms of a finite or infinite sequence.

An equation that includes the derivative of a function f(x) and the variable x.

A function is continuous if it has no gaps along the domain of the function.

The integral of a function without a specific limit on the endpoints. The result of an indefinite integral is a differentiable function.

For continuous function f(x) along interval [a, b] there are values between f(a) and f(b).

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

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.

For two differentiable functions f(x) and F(x), if F'(x) = f(x), then F(x) is the antiderivative of f(x).

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.<

The derivative of a linear function of the form y = mx + b is the slope of the line, m.

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.

For differentiable function f(x), the second derivative is the derivative of f'(x) and denoted as f''(x).

Use implicit differentiation and the quotient rule to find the derivative of an inverse trig 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)).

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.<

In the process of integration, it is the function that is being integrated.

Equations that involve trigonmetric functions and are often used to simplify certain trigonometric expressions.

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.

A piecewise function whose simplest form is shown below. These functions are not differentiable at their vertex.

The way a function f(x) changes as x approaches infinity, whether positive or negative.

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.

Finding the limiting value for function f(x) as the input value x approaches infinity. This limit may or may not exist.

As a function f(x) approaches a specific input value a, for x-values greater than or equal to a, the function may approach a specific limiting value.

Since a rational function is the ratio of two polynomials, the derivative of a rational function is also the ratio of two polynomials.

The process for finding the derivative of a composite function.

A second-order differential equation that is used to model simple harmonic motion using a trigonometric function.

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).

A line that intersects a curve at a single point and is perpendicular to the curve at that point.

A function whose graph has point symmetry about the origin.

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.

A function whose graphs has gaps. This is because the function consists of separate ordered pairs or is a discontinuous function with gaps.

The change in x-coordinates for a given function. Often used in the formula for finding the derivative of a function.

As a function f(x) approaches a specific input value a, for x-values less than or equal to a, the function may approach a specific limiting value.

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

A function made up of the ratio of two functions f(x) and g(x).

The derivative of a polynomial of degree n is another polynomial of degree n - 1.

The ratio along an interval of a domain for a given function, comparable to calculating the slope of a line.

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.

A discontinuous function whose graph looks like a staircase. A step function can be generated by ceiling or floor functions.

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

The process of finding the derivative of a function.

A function whose graph curves up along an interval of the domain. The inflection point is where the first derivative is zero.

The point on a curve where the curvature changes. This is often indicated by a change in the slopes of tangents to the curve.

For function f(x), the inverse function f-1(x), if it exists, undoes the mapping of the original function.

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

The process of finding the derivative of a power function.

For a definite integral, it is the numerical result of the integration.

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.

The derivative of a logarithmic function uses the laws of logarithms and the definition of e to find the derivative.

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.

A special type of differential equation in which functions f(x) and g(y) can be separated to find the solution to the equation.

A function is differentiable if a derivative can be found at each point in its domain.

A function whose graph curves down along an interval of the domain. The inflection point is where the first derivative is zero.

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

Replacing the integrand with a simpler expression to make the process of integration easier.

One of six main functions, including sine, cosine, tangent, secant, cosecant, and cotangent.

A function made up of separate functions, each with its own interval.

The second derivative, with respect to time, for the displacement function. Acceleration is a vector quantity.

A function whose graph is symmetric about the y-axis.

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.

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.

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.

The derivative of a trig function is another trig function, as shown in the table.

A substitution technique where a variable replaces a more complicated expression. In calculus it can simplify differentiation or integration.

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.

The mathematical symbol used to denote the process of integration.

A technique for approximating a definite integral by adding the areas of trapezoids underneath a curve.

Restricting the limit of a function for values approaching the limiting value from one side.

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.

A distance-vs.-time function used to find the distance an object has moved from a starting point.

The change in y-coordinates for a given function. Often used in the formula for finding the derivative of a function.

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.

An approximation method for estimating the area under a curve and used to approximate the solution to a definite integral.

Since a quadratic function is a polynomial function of degree 2, the derivative is a linear 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.

The theorem that relates differentiation and integration. The two operations are basically inverses of each other.

Another way of describing the slope of the line tangent to a given curve at a given point.

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).

A slanted line that the graph of a function approaches but does not intersect.

A function is discontinuous if it has one or more gaps along the domain of the function. The left- or right-hand limits exist but are not equal.

The integral of a function with specific limits on the endpoints. A definite integral results in a numerical value.

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'

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.

The rule for finding the derivative of a function made up of the ratios of two functions f(x) and g(x).

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping one

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping one linear function toan exponential function.

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping one linear function to a rational function.

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mappi

In this TI Nspire tutorialthe Graphing window is used to create a slider-based graph of a cosine curve to explore its properties

In this TI Nspire tutorial for the TI-Nspire CAS, we explore composite fun

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping one

In this TI Nspire tutorialthe Graphing window is used to create a slider-based graph of a sine curve to explore its properties.

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping one

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping one linear function to a polynomial function.

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping a linear function to a quadratic.

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Composite Functions: Linear to Linear.

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping one linear function to a logarithmic function.

In this TI Nspire tutorial for the TI-Nspire CAS, we explore

In this TI Nspire tutorial, the Graph window is used to graph two functions and finding the point of intersection.

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping a

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping one linear function to another linear function using sliders.

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping one linear function to a trigonometric function.

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping on

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.

An approximation method for estimating the area under a curve and used to approximate the solution to a definite integral.

Since a quadratic function is a polynomial function of degree 2, the derivative is a linear 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.

The theorem that relates differentiation and integration. The two operations are basically inverses of each other.

Another way of describing the slope of the line tangent to a given curve at a given point.