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Lesson 12-1 Linear and Nonlinear Functions pp. 560-563

Learn to differentiate between linear and nonlinear functions through graphs, equations, and tables. Determine rates of change and identify function types easily.

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Lesson 12-1 Linear and Nonlinear Functions pp. 560-563

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  1. Lesson 12-1Linear and Nonlinear Functionspp. 560-563 Vocabulary to Watch for in this Lesson Nonlinear function EQ: How can you determine if a function is linear or nonlinear?

  2. You’ve already learned that linear functions have graphs that are straight lines. • These graphs represent constant rates of change. • Nonlinear functions do not have constant rates of change. • So, their graphs are not straight lines. EQ: How can you determine if a function is linear or nonlinear?

  3. Examples: Identify Functions Using GraphsDetermine whether each graph represents a linear or nonlinear function. Explain. EQ: How can you determine if a function is linear or nonlinear?

  4. Examples: Identifying Functions Using EquationsDetermine whether each equation represents a linear or nonlinear function. Explain. Since the equation for a linear function can be written in the form y = mx+b, where m is the constant rate of change or slope, you can figure out whether a function is linear by looking at its equation. EQ: How can you determine if a function is linear or nonlinear?

  5. A nonlinear function odes not increase or decrease at the same rate. • You can use a table to determine if the rate of change is constant. EQ: How can you determine if a function is linear or nonlinear?

  6. Examples: Identify Functions Using TablesDetermine whether each table represents a linear or nonlinear function. Explain. EQ: How can you determine if a function is linear or nonlinear?

  7. EQ: How can you determine if a function is linear or nonlinear?

  8. Your Turn: Determine whether each equation or table represents a linear or nonlinear function. Explain. EQ: How can you determine if a function is linear or nonlinear?

  9. Class work – p. 562 #3-8Homework – p. 562 # 9-27 odds EQ: How can you determine if a function is linear or nonlinear?

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