# Unit2Vocabulary Flashcards

1
Q

Function Notation

A

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

f(x) = 4x - 1

2
Q

Linear Function

A

f(x) = -6x + 8

3
Q

Composite Function

A

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

4
Q

Domain

A

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

5
Q

Shrink & Stretch

A

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

6
Q

Translation

A

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

7
Q

Function Evaluation

A

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

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

8
Q

Reflection

A

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

9
Q

Square Root Function

A

f(x) = ?x

10
Q

Transformation Notation

A

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

11
Q

A

f(x) = 2(x - 1)2 + 7

12
Q

Range

A

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

13
Q

Inverse Function

A

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

14
Q

Vertical Line Test

A

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.

15
Q

Function

A

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

16
Q

Rule Notation

A

The rule to apply to a parent function for a particular transformation:

Ex: af(x) or f(-x)

17
Q

Absolute Value Function

A

Calculates the distance a value is from zero.