Linear and Nonlinear Functions

Which equation has a rate of change of 3?

Use the rule to complete the table.

Input, x: number of tickets that cost $9 each

Output, y: total cost

b

c

d

e

36

27

18

9

90

Use the rule to complete the table.

Input, x: an angle

Output, y: the angle supplementary to x

• 
• 
• 

Answer explanation

Remember supplementary means the two angles add to 180 degrees!

Complete the graph by plotting (input, output) pairs for the input value 5.

Input, x: a whole number

Output, y: all prime numbers less than or equal to x

Answer explanation

The point (2,2) is included on this graph because 2 is a prime that is less than or equal to 2.

(3,2) and (3,3) should both be points on your graph because 2 is a prime less than 3 and 3 is a prime less than or equal to 3.

A function is a rule in which each input results in exactly ___ output.

Match the following to the BEST description of the relationship.

• Nonlinear

  Function

• 
• Nonlinear

  Non-function

• 
• Linear

  Function

• 
• Linear

  Non-function

• 

Is the function represented by the table linear or nonlinear?

• linear

• nonlinear

Is the function represented by the equation linear or nonlinear?

• linear

• nonlinear

Identify the functions.

Select ALL that apply.

Is this graph a function or not a function? 

• Function 
• Not a Function