Comparing Linear and Nonlinear Equations

Linear Function, Nonlinear Function, Not a Function?

• Linear Function

• Nonlinear Function

• Not a Function

Is the function 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 graph is linear?

• Graph A

• Graph B

• Graph C

• Graph D

Which equations represent nonlinear functions? Select all that apply.

• y= 3x-4

• y=9x²+7x

• y=x

• y=2x³

• 2x²=y+4

The table represents a linear function, what is the rate of change?

• ²⁄₁

• -2

• ¹⁄₂

• not linear

Linear Function, Nonlinear Function, Not a Function?

• Linear Function

• Nonlinear Function

• Not a Function

Linear Function, Nonlinear Function, Not a Function?

• Linear Function

• Nonlinear Function

• Not a Function

Is there a constant rate of change represented in the graph below?  If so, what is it and interpret its meaning?

• Yes, 6 pounds per person

• Yes, 3 pounds per person

• Yes, 3 people per pound

• Not a constant rate

The table shows the cost (y) in relation to the number of pounds (x) of bird seed. What is the missing y value that would make this a linear function?

• 2.80

• 1.40

• 4.20

• 3.90