# Graphing Piecewise Functions in Precalculus Chapter Exam

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### Page 1

#### Question 1 1. The set of input, or x, values for which the function is defined is called the _____.

#### Question 2 2. What is the domain of this function?

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Question 3
3.
Which portion(s) of this piecewise function would include an open endpoint?

f(x) = 2x +3, x>2

f(x) = 3x - 4, x = 2

f(x) = x-2, x <2

#### Question 4 4. What is the most common piecewise function?

#### Question 5 5. What is the domain of a piecewise function?

### Page 2

#### Question 6 6. If f(x) represents the left part of the black graph and g(x) represents the right part of the black graph, then what piecewise function represents the red graph?

#### Question 7 7. In which function has f(x) been shifted up 2 units and 7 units to the right?

#### Question 8 8. Which piecewise function is represented by this graph?

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Question 9
9.
Evaluate the following piecewise function for x = 0 and x = 5.

f(x) = 2x - 3, x < 0

f(x) = x² - 1, x = 0

f(x) = x + 3, x > 0

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Question 10
10.
Which graph represents this piecewise function?

f(x) = 2x, x < 1

f(x) = x² - 1, x≥1

### Page 3

#### Question 11 11. What is the domain of this function?

#### Question 12 12. Take the following function, shift it up 1 unit, and reflect it about the x-axis:

#### Question 13 13. What translations have been made to g(x)?

#### Question 14 14. Which of the following is NOT a piecewise function?

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Question 15
15.
Your cell phone plan costs $75/month and gives you unlimited talking time and 500 text messages per month. After 500 text messages, it costs $0.10 per text you send.

If you send 870 texts in January, how much is your total cell phone bill?

### Page 4

#### Question 16 16. What translations have been made to f(x)?

#### Question 17 17. All of the following are piecewise functions, EXCEPT:

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Question 18
18.
Evaluate the following piecewise function for x = 2 and x = -7.

f(x) = 2x + 3, x ≤ -5

f(x) = x³, x > -5

#### Question 19 19. What is the domain of this function?

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Question 20
20.
You have a summer job that pays time and a half for overtime (any hours over 40 in a week). Overtime is 1.5 times your hourly rate of $7.00/hr.

How much money will you make if you work 50 hours in one week?

#### Graphing Piecewise Functions in Precalculus Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!