Continuous Graph

A graph with no breaks in it.

Relation

The mapping between a set of inputs and a set of outputs.

Domain

The set of all input values of a relation.

Range

The set of all output values of a relation.

Discrete Graph

A graph of isolated points.

Vertical Line Test

A visual method used to determine whether a relation represented as a graph is a function.

Function

A relation between a given set of elements for which each input value there exists exactly one output value.

Function Notation

A way to represent equations algebraically that makes it more efficient to recognize the independent and dependent variables.

Exponential Functions

Functions of the form f(x)=a*b^x, where a and b are real numbers, and b is greater than 0 but is not equal to 1.

Linear Piecewise Functions

Functions that have a equation that changes for different parts, or pieces, of the domain.

Increasing Function

Function where both the independent and the dependent variables of a function increase across the entire domain.

Absolute Maximum

Function where there is a point on its graph that has a y-coordinate that is greater than the y-coordinates of every other point on the graph.

Function Family

A group of functions that share certain characteristics.

Linear Absolute Value Function

Functions of the form f(x)=a|x + b| + c, where a, b, c are real numbers and a is not equal to 0.