Linear VS Nonlinear

Linear and Non-Linear Functions

Linear Functions...

are straight lines on a graph

Non-Linear Functions...

have curves or

two or more different slopes

Linear Functions...

have a constant rate of change

Non-Linear Functions...

do not have a constant rate of change

Linear Functions...

are represented by equations that have:

* no exponents

* no absolute value signs

* fractions with variables only in the numerator

Nonlinear Functions...

are represented by equations that have:

* exponents

* absolute value signs

* fractions with variables in the denominator

Multiple Choice

Linear or Nonlinear?

• Linear

• Non-Linear

Multiple Choice

Linear or Nonlinear?

• Linear

• Non-Linear

Multiple Choice

Does the graph represent a linear or nonlinear relationship?

• Linear

• Nonlinear

Multiple Choice

Choose the Linear Function

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 Choice

Is this function linear or nonlinear?

• Linear
• Nonlinear

Multiple Choice

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)

Multiple Choice

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.

Multiple Choice

Is this function linear or nonlinear?

• Linear
• Nonlinear

Multiple Choice

Is the function represented by the table linear or nonlinear?

• Linear

• Nonlinear

Multiple Choice

Is the function represented by the table linear or nonlinear?

• Linear

• Nonlinear

Multiple Choice

Select the linear equation.

Multiple Choice

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

• Linear

• Nonlinear

Multiple Choice

Is the function Linear or Nonlinear?

• Linear
• Nonlinear

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 the following equation linear or nonlinear? 

• Linear 
• Nonlinear 

Multiple Choice

Is the following equation linear or nonlinear? 

• Linear 
• Nonlinear 

Multiple Choice

Which equation represents a nonlinear function?

• y = 3x + 5
• y = 5x³
• y + 3 = 5x
• 3x - y = 5

Multiple Choice

Is the function linear or nonlinear?

y = 6x + 4

• Linear

• Nonlinear