2.6 – special functions

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2.6 – Special Functions Objective: Write, graph, and apply special functions: piecewise, step, and absolute value Standard: 2.8.11.T. Analyze and categorize functions by their characteristics

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2.6 – Special Functions. Objective: Write, graph, and apply special functions: piecewise, step, and absolute value Standard: 2.8.11.T. Analyze and categorize functions by their characteristics. Ex. 1a. (0,3). (5, -7). (10, -22). Ex 3 *. Ex. 1b. Partner Practice :. - PowerPoint PPT Presentation

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2.6 – Special Functions• Objective:

– Write, graph, and apply special functions: piecewise, step, and absolute value

• Standard:– 2.8.11.T. Analyze and categorize functions

by their characteristics

Ex. 1a2 3 0 5

Graph: ( )3 8 5 10

x if xf x

x if x

(0) 2(0) 3

(0) 3

(0,3)

f

f

(5) 2(5) 3

(5) 7

(5, 7)

f

f

(5) 3(5) 8

(5) 7

(5, 7)

f

f

(10) 3(10) 8

(10) 22

(10, 22)

f

f

(0,3)

(5, -7)

(10, -22)

Ex 3 * Ex. 1b

Partner Practice:

p.129: #16, 17, 20, 23

p.129: #16, 17, 20, 23

105 if 42

50 if 1)(

xx

xxxf

(10, 16)

p.129: #16, 17, 20, 23

126 if 20

60 if 43)(

xx

xxxg

p.129: #16, 17, 20, 23

10 if 162

1

100 if 1

0 if 2

)(

xx

xx

x

xh

p.129: #16, 17, 20, 23

102 if 1

2 if 5)(

xx

xxxf

Step Functions

Absolute Value

Lesson Quiz

Homework

Practice 2.6Ch. 2 TEST – Thu 10/22