Unit 1: Functions and their Inverses

End Behavior

The behavior of the graph of f(x) as x approaches positive infinity or negative infinity

Absolute Value

The distance a number is from zero on a number line

X-intercept

The point where a graph intersects the x-axis

Y-intercept

The point where a graph intersects the y-axis

Inverse

The relation formed when the independent variable switches with the dependent variable

Range

The set of all values of the dependent variable

Domain

The set of all values of the independent variable

Evaluate

To find the value of a numerical or algebraic expression

System of Equations

A collection of two or more equations with two or more unknowns

Piecewise Function

A function defined by multiple sub-functions, each sub-function applying to a certain interval of the main function's domain

One-to-One

A function where each output has exactly one input

Function

A relation where each input has exactly one output

Horizontal Line Test

A test used to determine if a function is one-to-one

Vertical Line Test

A test used to determine whether a relation is a function

Relation

Any set of ordered pairs

Increasing/Decreasing Intervals

Looking from left to right, intervals of the domain where the outputs are increasing/decreasing