Lesson 13-5
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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 5 pages 687 691

Lesson 13-5Pages 687-691

Linear and Nonlinear Functions


Lesson 13 5 pages 687 691

What you will learn!

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


Lesson 13 5 pages 687 691

Vocabulary


Lesson 13 5 pages 687 691

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.


Lesson 13 5 pages 687 691

What you really need to know!

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


Lesson 13 5 pages 687 691

What you really need to know!

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


Lesson 13 5 pages 687 691

Example 1:

Determine whether the graph represents a linear or nonlinear function.


Lesson 13 5 pages 687 691

Example 1b:

Determine whether the graph represents a linear or nonlinear function.


Lesson 13 5 pages 687 691

Example 2:

Determine whether the function represents a linear or nonlinear function.

y = -5x – 4


Lesson 13 5 pages 687 691

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


Lesson 13 5 pages 687 691

Example 2b:

Determine whether the function represents a linear or nonlinear function.

y = 2x2 + 3


Lesson 13 5 pages 687 691

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


Lesson 13 5 pages 687 691

Example 3:

Which rule describes a linear function?


Lesson 13 5 pages 687 691

Page 689

Guided Practice

#’s 4-10


Lesson 13 5 pages 687 691

Read:

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


Lesson 13 5 pages 687 691

Homework: Pages 690-691

#’s 11-22 all

#’s 31-43 all

Practice Quiz 2


Lesson 13 5 pages 687 691

Page

757

Lesson 13-5


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