Linear vs. Nonlinear

Linear vs. Nonlinear

December 2, 2020

Linear Equations

• Variables X and Y can not have exponents

• Variables X and Y can not have square roots  $\sqrt{ }$  over them

• Variables X and Y can not have cube roots  $\sqrt{ }$  over them

• Variables X and Y must be at the top of a fraction, NOT AT THE BOTTOM

• Variables X and Y can be beside a number or beside a fraction

• Variables X and Y can be Negative

• Variable X can not be in the exponent position

Multiple Choice

Select the linear equation.

Multiple Choice

Is the function  $y=\frac{8}{x^2}$  linear or nonlinear?

• Linear

• Nonlinear

Multiple Choice

Does this equation represent a LINEAR or NONLINEAR function?

• linear

• nonlinear

Multiple Choice

Is the function Linear or Nonlinear?

• Linear
• Nonlinear

Multiple Choice

Which of the function(s) above are linear?

• Function I, only
• Function II, only
• Function I and Function II, only
• Function I, Function II, and Function III

Multiple Select

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

• x - 3y=12

• y=x³

• 3y=x

• y=5x²+6x

• 4x+3y²=24

Multiple Choice

Is this function linear or nonlinear?

• Linear function

• Nonlinear function

Multiple Choice

Is this function linear or nonlinear?

• Linear function

• Nonlinear function

Multiple Choice

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.

Multiple Choice

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