Algebra 2 Companion Book, Volume 2

9.1 Review Worksheet (continued)

9.1.2 Piecewise Functions Create a table and a verbal description to represent each graph. 9. 10. Buet Prices

Average Salary by Years of Experience

4 6 8

40 60 80

2

20

0

4

8 12 16

0

4

8 12 16

Age (yr)

Experience (yr)

Evaluate each piecewise function for x = −2, x = 2, and x = 6.

    

x 9 2 if −

x

3

    

x x 3 if0

12 9 if −

0

x < − − − ≤ < ≥ x 3 if 3 if 1

11.

12.

2

x x 2 +

g x

x

( )

1

f x

x < < ≥ 3

( )

3

=

=

5

x

x

4

if

Graph each function.

3 4 3 4

x

x

1 if

4

+

<

 

   

x 2 5 if

x

2

− −

< − ≥ −

13.

14.

g x

( )

f x

( )

=

=

2

x

x

2

3 if

  

x

x

2 if

4

15.  A dog groomer charges different prices based on the weight of the dog. Sketch a graph of the cost of grooming a dog from 0 to 100 pounds. Then write a piecewise function for the graph.

Grooming Prices

Weight (Ib)

Price ($)

15 and under

30 50 75

Over 15 and up to 50

Over 50

256

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