9.1.2 Piecewise Functions − Worksheet
Example 1: Create a table and a verbal description to represent each graph. 1. 2.
Example 2: Evaluate each piecewise function for x = − 6 and x = 3.
x x ≤ − − < < ≥ x 5 5
8 if
−
x 5 9 if −
x
2
<
3.
4.
g x
( )
f x
( )
0 if 5
5
=
=
2
x
x
4
if
2
−
≥
5 if
Example 3: Graph each function. 5. f x ( ) 7 if =
x 2 8 if
x
4
− +
≤
x x
2 2
< − ≥ −
6.
g x
( )
=
1 2
x
x
2 if
if
4
−
>
Example 4: 7. The cost of renting a canoe is a flat fee of $20 for up to 4 hours and $3 per hour for any additional hours. Sketch a graph of the cost of renting a canoe from 0 to 8 hours. Then write a piecewise function for the graph.
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