# Lesson 13-5 Pages 687-691 - PowerPoint PPT Presentation

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Lesson 13-5 Pages 687-691. Linear and Nonlinear Functions. What you will learn!. How to determine whether a function is linear or nonlinear. Vocabulary. What you really need to know!.

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Lesson 13-5 Pages 687-691

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Lesson 13-5Pages 687-691

Linear and Nonlinear Functions

What you will learn!

• How to determine whether a function is linear or nonlinear.

Vocabulary

What you really need to know!

Linear functions have constant rates of change. Their graphs are straight lines and their equations can be written in the form y = mx + b.

What you really need to know!

Nonlinear functions do not have constant rates of change and their graphs are not straight lines.

What you really need to know!

Tables can represent functions. A nonlinear function does not increase or decrease at a constant rate.

Example 1:

Determine whether the graph represents a linear or nonlinear function.

Example 1b:

Determine whether the graph represents a linear or nonlinear function.

Example 2:

Determine whether the function represents a linear or nonlinear function.

y = -5x – 4

This function does not increase at a constant rate. It is nonlinear!

Example 2b:

Determine whether the function represents a linear or nonlinear function.

y = 2x2 + 3

This function decreases at the same rate of -5. It is linear!

Example 3:

Which rule describes a linear function?

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Guided Practice

#’s 4-10

Pages 687-689 with someone at home and study examples!

Homework: Pages 690-691

#’s 11-22 all

#’s 31-43 all

Practice Quiz 2

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Lesson 13-5