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Piecewise Word Problems

The document describes a homework assignment on piecewise functions. It asks students to evaluate sample piecewise functions at given values, match functions to their graphs, graph other functions, and write and graph a piecewise function modeling admission prices at an amusement park based on a person's age. The assignment includes sample problems and answers.

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justine jerald baliguat
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622 views2 pages

Piecewise Word Problems

The document describes a homework assignment on piecewise functions. It asks students to evaluate sample piecewise functions at given values, match functions to their graphs, graph other functions, and write and graph a piecewise function modeling admission prices at an amusement park based on a person's age. The assignment includes sample problems and answers.

Uploaded by

justine jerald baliguat
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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HW #9: Piecewise Functions

Evaluate the function for the given value of x.

Match the piecewise function with its graph.

Graph the function.


19. 20. 21.

22.The admission rates at an amusement park are as follows.


Children under 5 : free
Children between 5 years and 11 years, inclusve: $10.00
Children between 12 years and 17 years, inclusive: $25.00
Adults: $35.00
a) Write a piecewise function that gives the admission price for a given age.
b) Graph the function.
Answers:
1. 𝑓(2) = 2 2. 𝑓(−4) = 3 3. 𝑓(0) = 3
4. 𝑓(1/2) = 2 5. 𝑔(7) = 13 6. 𝑔(0) = 5
7. 𝑔(−1) = 4 8. 𝑔(3) = 8 9. ℎ(−4) = −6
10. ℎ(−2) = −5 11. ℎ(−1) = 5 12. ℎ(6) = −9
13. E 14. B 15. D
16. F 17. C 18. A

20. 21.
19.
22. a 22b.
𝑓(𝑥)
0, 𝑥≤5
10, 5 ≤ 𝑥 < 12
={
25, 12 ≤ 𝑥 < 18
35, 𝑥 ≥ 18

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