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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