Functions

Let's Review Functions

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By Colleen Begley

For every input (x) there is exactly one output (y).

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​Some text here about the topic of discussion.

What is a function?

We put in our money (input) and get one snack out (output)

Think of a Vending Machine

Different Representations

We can have functions represented in 5 ways:

1.) ​Equations

2.) Tables

3.) Ordered Pairs

4.) Mapping

5.) Graphs​

Multiple Choice

Is this relation a Function or Not a Function?

y = 5x - 2

• Function because each input has one output

• Not a Function because an input has more than one output

Multiple Choice

Is this relation a Function or Not a Function?

y = x

• Function because each input has one output

• Not a Function because an input has more than one output

Multiple Choice

Is this relation a Function or Not a Function?

{(2, 9), (3, 12), (2, 8), (1, 6)}

• Function because each input has one output

• Not a Function because an input has more than one output

Multiple Choice

Is this relation a Function or Not a Function?

{(1, 4), (2, 6), (3, 10), (4, 12)}

• Function because each input has one output

• Not a Function because an input has more than one output

Multiple Choice

Is this relation a Function or Not a Function?

• Function because each input has one output

• Not a Function because an input has more than one output

Multiple Choice

Is this relation a Function or Not a Function?

• Function because each input has one output

• Not a Function because an input has more than one output

Multiple Choice

Is this relation a Function or Not a Function?

• Function because each input has one output

• Not a Function because an input has more than one output

Multiple Choice

Is this relation a Function or Not a Function

• Function because each input has one output

• Not a Function because an input has more than one output

Multiple Select

Is this relation a Function or Not a Function

• Function because it passes the vertical line test

• Function because each input has one output

• Not a function because it is not a straight line

• Not a Function because it fails the vertical line test

Multiple Select

Is this relation a Function or Not a Function

• Not a function because inputs have more than 1 output

• Function because each input has one output

• Not a function because it is not a straight line

• Not a Function because it fails the vertical line test

The initial value is calculated by finding out the value of y when x=0.

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The y-intercept​

Initial Value

The rate of change can be found by calculating the change in y divided by the change in x

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The Slope​

Rate of Change

Comparing Functions

Multiple Choice

What is the rate of change in the equation?

y=8x+6

• 6

• 8

• y

• x

Multiple Choice

What is the intital value in the equation?

y=8x+6

• 6

• 8

• y

• x

Multiple Choice

What is the rate of change in the table?

• 3

• 17

• -3

• 20

Multiple Choice

What is the initial value in the table?

• 3

• 17

• -3

• 20

Multiple Choice

What is the rate of change (slope) of the graph?

• 2

• 2/5

• 5/2

• -2

Multiple Choice

What is the initial value of the graph?

• -1

• 2

• 4

• 1

Multiple Choice

Find the rate of change of the line that passes through points (0, 2) and (2, 6).

• 1/2

• 2

• -2

• -1/2

Functions are linear if they have a constant rate of change.

Linear vs. Nonlinear

Multiple Choice

Is the function linear or nonlinear?

• This is a Linear Function

• This is a Nonlinear Function

Multiple Choice

Is the function linear or nonlinear?

• This is a Linear Function

• This is a Nonlinear Function

Multiple Choice

Is the function linear or nonlinear?

• This is a Linear Function

• This is a Nonlinear Function

Multiple Choice

Is the function linear or nonlinear?

• This is a Linear Function

• This is a Nonlinear Function

Multiple Choice

Is the function linear or nonlinear?

• This is a Linear Function

• This is a Nonlinear Function

Multiple Choice

Is the function linear or nonlinear?

• This is a Linear Function

• This is a Nonlinear Function

Draw

How prepared do you feel for the upcoming test?