Vocabulary- Math III Unit 1 Functions

End Behavior

The behavior of the graph of f(x) as x approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the behavior.

Absolute Value

The distance of a point or number from the origin (zero point) of a number line or coordinate system.

Increasing/decreasing interval

The domain of a function where its value is getting larger or smaller, respectively.

Inverse

The operation that reverses the effect of another operation

Range

The set of all output values of a function.

Domain

The set of all possible x-values which will make the function "work", and will output real y-values.

Relation

A collection of ordered pairs containing one object from each set.

System of Equations

A collection of two or more equations with a same set of unknowns. We try to find values for each of the unknowns that will satisfy every equation in the system.

Piecewise Function

A function whose domain is divided into parts and each part is defined by a different function rule.

Function

A relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Evaluate

When you substitute a number for each variable and perform the arithmetic operations.

X-Intercept

Where the graph crosses the x-axis, and y value equals zero

Y-Intercept

Where the graph crosses the y-axis and the x value equals zero