Compare Linear vs Nonlinear Functions

Which equations represent linear functions?

• Equations 1 and 2, only

• Equations 1 and 4, only

• Equations 2 and 3, only

• Equations 1, 3, and 4, only

Which graph(s) show nonlinear functions?

• Graph I, only

• Graph II, only

• Graph I and Graph II, only.

• Graph I, Graph II, and Graph III

• This is a Function
• This is Not a Function

• This IS a Function
• This is NOT a Function
• This is a linear function
• This is a toaster oven

The weight of Brandi's luggage is represented by the equation y = 40x, where y represents the weight in lbs and x represents the number of bags. The weight of Javier's luggage is represented in the graph. Compare their rates.

• Brandi's luggage weighs more because it weighs 40 lbs per bag.

• Javier's luggage weighs more because it weighs 40lbs per bag.

• Brandi's luggage weighs more because it weighs 30 lbs per bag.

• Javier's luggage weighs more because it weighs 30 lbs per bag.

Does the graph represent a linear or nonlinear relationship?

• Linear

• Nonlinear

Is this function linear or nonlinear?

• Linear

• Nonlinear

• Linear
• Nonlinear
• Neither

Select the true statement.

• This table represents a linear function since the rate of change is always 2.

• This table represents a nonlinear function since the y-intercept is 12.

• This table represents a nonlinear function since the rate of change is not constant.

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 has a constant rate of change.

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