Function Relations

Relations, Functions, and Function Notation Review

​

Relations vs Functions

• For a function... x cannot be repeated

• Other words for x: input and domain

• Other words for y: output and range

Multiple Choice

This is a...

• Relation

• Function

Multiple Choice

This is a...

• Relation

• Function

Multiple Choice

This is a...

• Relation

• Function

Multiple Choice

This is a...

• Relation

• Function

Multiple Choice

This is a...

• Relation

• Function

Multiple Choice

This is a...

• Relation

• Function

Multiple Choice

This is a...

• Relation

• Function

Multiple Choice

This is a...

• Relation

• Function

Function Notation from an equation

• f(2) --> You were given an input --> plug 2 in for x in the equation

• f(x) = 2 --> You were given an output --> plug 2 in for f(x) and solve

Multiple Choice

Find f(7) for the following function: f(x) = 4x-9

• f(7) = 4

• f(7) = 37

• f(7) = 19

• f(7) = -0.5

Multiple Choice

Find x if f(x) = -5 for the following function: f(x) = 4x - 9

• f(-3.5) = -5

• f(11) = -5

• f(-29) = -5

• f(1) = -5

Multiple Choice

Find g(-6) for the following function: g(x) = 3(x - 1)

• g(-6) = -21

• g(-6) = -15

• g(-6) = -1

• g(-6) = -3

Multiple Choice

Find x if g(x) = -27 for the following function: g(x) = 3(x - 1)

• g(-10) = -27

• g(-8) = -27

• g(-84) = -27

• g(-78) = -27

Function Notation from a graph:

• If you were given an input...

• Go to that value on the x-axis

• Go up or down to find the output (y-value).

• If you were given an output...

• Go to that value on the y-axis

• Go left or right to find the input (x-value).

Multiple Choice

Find p(2).

• p(2) = 2

• p(2) = 1

• p(2) = 3

• p(2) = 4

Multiple Choice

Find p(3).

• p(3) = 3

• p(3) = 7

• p(3) = 2

• p(3) = 1

Multiple Choice

Find x if p(x) = 3

• p(2) = 3

• p(7) = 3

• p(3) = 2

• p(0) = 3

Multiple Choice

Find x when p(x) = 4

• p(-1) = 4

• p(-2) = 4

• p(-2) = 4 ; p(2) = 4

• p(3) = 4