Determining Linear vs 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.

• y=-5x+5

• y=-x+5

• y=x+1

• y=-x+1

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

• x - 3y=12

• y=x³

• 3y=x

• y=5x²+6x

• 4x+3y²=24

• y=-3x+1

• y=3x+1

• y=1/3x+1

• y=-1/3x-1

• y=2x+4

• y=-2x-4

• y=2x-2

• y=2x-4

Is the function linear or nonlinear?

• Linear

• Nonlinear

Is this function linear or nonlinear?

• linear

• nonlinear

Why is this function nonlinear?

• This is a nonlinear function because it is on the side.

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

• This is a nonlinear function because the line is curved.

• This is a nonlinear function because it is open ended

Why is this function linear?

• This is a linear function because it is going up

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

• This is a linear function because the line is curved.

• This is a linear function because it keeps going.

Is this function linear or nonlinear?

• linear function

• nonlinear function