9.1.2 Piecewise Functions − Practice
2. Which function should be used when evaluating the function at x = 3?
1. Which function should be used when evaluating the function at x = 10?
1 4 1 4
2
x
x
4
2 if
+ +
≤ >
2
x
x
1 if
3
p x
( )
+
≤
=
x 2 10 if
x
4
p x
( )
=
x
x
2.5 if
3
+
>
4. Graph the function.
3. Evaluate the function at x = − 1 and x = 2.
2
x − + 2
x
x x
x x
4 4
2 if
1 1
3 if
+
≤ >
≤ − > −
p x
f x
( )
( )
=
=
x 2 10 if +
x 5 4 if −
6. John earns $200 per project for the first five projects, 250 per project for the next 10 projects, and $350 per project for any additional projects he completes. Write the piecewise function for this situation.
5. The cost of renting a fishing boat is $25 per hour for the first 5 hours, $15 per hour for the next 4 hours, and $10 per hour for any additional hours. Find the cost of renting the boat for 14 hours.
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