Linear Functions vs Nonlinear Functions

Determine whether the table represents a linear or nonlinear function. Find the rate of change for each linear function.

• Nonlinear

• Yes; the rate of change is 0.2

• Yes; the rate of change is 0.25

• Yes; the rate of change is 0.333...

Find the rate of change for the linear function.

Why is this function linear?

• This is a linear function because it does not have a constant rate of change

• This is a linear function because it creates a curved line.

• This is a linear function because it have a constant rate of change.

• This is a linear function because it's y-intercept is (0,2)

Mr. Cooper pays a monthly charge of $40 for a family cell phone plan. Each additional family member pays $10 every month. The total amount of money, y dollars, Mr. Cooper and his family members pay each month is a function of the number of additional family members, x.

Find the rate of change for the linear function.

Is the function represented by the equation linear or nonlinear?

• linear

• nonlinear

Is the function represented by the table linear or nonlinear?

• Linear

• Nonlinear

Is the function represented by the graph linear or nonlinear

• linear

• nonlinear

Which answer choice is true?

• The table represents a linear function because there is a pattern for the x-coordinates and y-coordinates.

• The table represents a linear function because the ratio of the change in the y value and the change in the x value is constant.

• The table represents a nonlinear function because the ratio of the change in the y value and the change in the x value is not constant.

• The table does not represent a function because there is more than one output for at least one input.

Which graph is linear?

• A

• B

• C

• D