Linear vs Nonlinear

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

• y = 3x + 12

• y=x³

• y= x + 3

• y=5x²+6x

• y= 4x² +4

Why is this function nonlinear?

• This function is nonlinear because it has a constant rate of change.

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

• The function is nonlinear because the y-intecept is (0,1)

• This function is nonlinear because there is a coefficient of 4.

Is this function linear or nonlinear?

• linear

• nonlinear

Why is this function nonlinear?

• This is a nonlinear function because it is vertical

• This is a nonlinear function because it is a straight line.

• This is a nonlinear function because it goes up and down.

• This is a nonlinear function because it is curved.

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)

Why is this function linear?

• This is a linear function because the y-intercept is (0,2)

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

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

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

Why is this function nonlinear?

• This function is nonlinear because it has a constant rate of change.

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

• The function is nonlinear because the y-intecept is (0,1)

• This function is nonlinear because there is a coefficient of 4.

Why is this function linear?

• This is a linear function because the y-intercept is (0,8)

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

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

• This is a linear function because the slope is -1

Which equation represents a linear function?

• y=8x

• x=5

• y=4x²

• y=x³

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.