Lesson: Determining Whether a Function Is Linear or Nonlinear

Linear equations appear as lines when they are graphed and have a constant slope. Nonlinear equations appear curved when graphed and do not have a constant slope. In this lesson, we will learn how to determine whether a function is linear or nonlinear.

Worksheet: Determining Whether a Function Is Linear or Nonlinear • 8 Questions

Q1:

Determine whether the table below represents a linear or nonlinear function.

x	3	6	9	12
y	32	25	18	11

Anonlinear function
Blinear function

Q2:

The cost of a speeding ticket is a function of the speed the car was traveling. Use the table to determine whether it is a linear or nonlinear function.

Speed (mph)	70	80	90	100
Cost (dollars)	25	50	150	300

Alinear function
Bnonlinear function

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