Linear vs Nonlinear Functions Pretest

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

Is the graph pictured a linear or nonlinear function?

• Linear

• Nonlinear

Is the function represented by the equation 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 equation represents y as a linear function of x?

• y=8x

• x=5

• y=4x²

• y=x³

Which equations represents y as a linear function of x?

• y=x³

• y=9x

• x=5

• y=x

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)

Which equations describe a nonlinear function? Select all that apply.

• x - 3y=12

• y=x³

• 3y=x

• y=5x²+6x

• 4x+3y²=24

• Linear

• Nonlinear

• Linear

• Nonlinear