Lesson 12 1 Linear and Nonlinear Functions pp

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

• 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?

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

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. Examples: Identifying Functions Using Equations Determine whether each equation represents a linear or nonlinear function. Explain. EQ: How can you determine if a function is linear or nonlinear?

• 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?

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

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

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?

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