NYS

These are the resources that support this NYS Standard.

NY-AI-F.IF.7: Graph functions and show key features of the graph by hand and by using technology where appropriate.

There are 866 resources.
Title Description Thumbnail Image Curriculum Topics

Math Definitions Collection: Rationals and Radicals

This collection aggregates all the definition image cards around the topic of Rationals and Radicals terms and vocabulary. There are a total of 17 terms. Rationals and Radicals Collection Rational Functions and Equations, Radical Expressions, Radical Functions and Equations and Rational Expressions

Math Video Definitions Collection: Rationals and Radicals

This collection aggregates all the video definitions around the topic of Rationals and Radicals. There are a total of 47 videos. This collection of resources is made up of downloadable MP4 files that you can easily incorporate into a presentation. Rationals and Radicals Collection Rational Functions and Equations, Radical Expressions, Radical Functions and Equations and Rational Expressions

VIDEO: Algebra Nspirations: Quadratic Functions

VIDEO: Algebra Nspirations: Quadratic Functions

In 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.

VIDEO: Algebra Nspirations: Quadratic Functions Applications of Quadratic Functions and Graphs of Quadratic Functions

Closed Captioned Video: Algebra Nspirations: Quadratic Functions

Closed Captioned Video: Algebra Nspirations: Quadratic Functions

In 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.

Closed Captioned Video: Algebra Nspirations: Quadratic Functions Applications of Quadratic Functions and Graphs of Quadratic Functions

Definition--Calculus Topics--Absolute Maximum

Definition--Calculus Topics--Absolute 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.

Definition--Calculus Topics--Absolute Maximum Calculus Vocabulary

Definition--Calculus Topics--Absolute Minimum

Definition--Calculus Topics--Absolute 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.

Definition--Calculus Topics--Absolute Minimum Calculus Vocabulary

Definition--Calculus Topics--Absolute Value Function

Definition--Calculus Topics--Absolute Value Function

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

Definition--Calculus Topics--Absolute Value Function Calculus Vocabulary

Definition--Calculus Topics--Acceleration

Definition--Calculus Topics--Acceleration

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

Definition--Calculus Topics--Acceleration Calculus Vocabulary

Definition--Calculus Topics--Antiderivative

Definition--Calculus Topics--Antiderivative

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

Definition--Calculus Topics--Antiderivative Calculus Vocabulary

Definition--Calculus Topics--Area Beneath a Curve

Definition--Calculus Topics--Area Beneath a Curve

For 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.

Definition--Calculus Topics--Area Beneath a Curve Calculus Vocabulary

Definition--Calculus Topics--Asymptote

Definition--Calculus Topics--Asymptote

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

Definition--Calculus Topics--Asymptote Calculus Vocabulary

Definition--Calculus Topics--Average Rates of Change

Definition--Calculus Topics--Average Rates of Change

The 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.

Definition--Calculus Topics--Average Rates of Change Calculus Vocabulary

Definition--Calculus Topics--Ceiling Function

Definition--Calculus Topics--Ceiling 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.

Definition--Calculus Topics--Ceiling Function Calculus Vocabulary

Definition--Calculus Topics--Chain Rule

Definition--Calculus Topics--Chain Rule

The process for finding the derivative of a composite function.

Definition--Calculus Topics--Chain Rule Calculus Vocabulary

Definition--Calculus Topics--Change of Variables

Definition--Calculus Topics--Change of Variables

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

Definition--Calculus Topics--Change of Variables Calculus Vocabulary

Definition--Calculus Topics--Composite Function

Definition--Calculus Topics--Composite 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)).

Definition--Calculus Topics--Composite Function Calculus Vocabulary

Definition--Calculus Topics--Concave Function

Definition--Calculus Topics--Concave Function

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

Definition--Calculus Topics--Concave Function Calculus Vocabulary

Definition--Calculus Topics--Continuous Functions

Definition--Calculus Topics--Continuous Functions

A 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).

Definition--Calculus Topics--Continuous Functions Calculus Vocabulary

Definition--Calculus Topics--Convex Function

Definition--Calculus Topics--Convex Function

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

Definition--Calculus Topics--Convex Function Calculus Vocabulary

Definition--Calculus Topics--Definite Integral

Definition--Calculus Topics--Definite Integral

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

Definition--Calculus Topics--Definite Integral Calculus Vocabulary

Definition--Calculus Topics--Delta x

Definition--Calculus Topics--Delta x

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

Definition--Calculus Topics--Delta x Calculus Vocabulary

Definition--Calculus Topics--Delta y

Definition--Calculus Topics--Delta y

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

Definition--Calculus Topics--Delta y Calculus Vocabulary

Definition--Calculus Topics--Derivative

Definition--Calculus Topics--Derivative

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.

Definition--Calculus Topics--Derivative Calculus Vocabulary

Definition--Calculus Topics--Derivative of a Composite Function

Definition--Calculus Topics--Derivative 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.

Definition--Calculus Topics--Derivative of a Composite Function Calculus Vocabulary

Definition--Calculus Topics--Derivative of a Linear Function

Definition--Calculus Topics--Derivative of a Linear Function

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

Definition--Calculus Topics--Derivative of a Linear Function Calculus Vocabulary