# Unit2Vocabulary Flashcards

Function Notation

Specifying the name and the input variable to a function equation:

**f(x)** = 4x - 1

Linear Function

f(x) = -6x + 8

Composite Function

The result of adding, subtracting, multiplying, dividing, and/or nesting one or more functions together.

Domain

The set of all possible values that can be input into a function. Traditionally associated with the x variable.

Shrink & Stretch

The process of shrinking or stretching a function’s graph along either the x or y axes.

__Rule__: af(x) for vertical shrink/stretch and f(ax) for horizontal

Translation

The process of moving a function’s graph along either the x or y axes.

__Rule__: f(x) +/- a for vertical move and f(x +/- a) for horizontal

Function Evaluation

The process of calculating an output for a given input to a function.

__Ex__: Evaluate f(-2) given f(x) = -x + 3

Reflection

The process of flipping a function’s graph across either the x or y axes.

Rule: -f(x) for vertical flip and f(-x) for horizontal

Square Root Function

f(x) = ?x

Transformation Notation

Function notation that defines the transformations that are occuring to the parent function:

__Ex__: Given f(x) = 2x + 5 then 2f(x) + 5 is the Transformation Notation

Quadratic Function

f(x) = 2(x - 1)^{2} + 7

Range

The set of all possible output values for a function. Typically associated with the y variable.

Inverse Function

The function denoted with a superscipt -1 that will take the output from another function and calculate the original input that created that output.

__Ex__: f(x) = x + 5 then the inverse is f^{-1}(x) = x - 5

Vertical Line Test

A general process to test whether an equation is a function. As long as a vertical line drawn anywhere along an equation’s graph does not cross that graph more than once, then the equation is a function.

Function

A mathematical equation that has one and only one output for any given input.