Piecewise & Composite Functions: College Precalculus Lesson Plans Chapter Exam

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!

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Question 1 1.

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?

Question 2 2.

Which graph represents this piecewise function?

f(x) = 2x, x < 1

f(x) = x² - 1, x ≥ 1

Question 3 3. What translations have been made to f(x)?

Question 4 4.

Manipulate the following equation to isolate the y variable.

x - 3y = 12

Question 5 5. 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?

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Question 6 6.

Solve for x and y.

x - 3y = -1

2x - 2y = 2

Question 7 7. What is the most common piecewise function?

Question 8 8. Which equation is NOT equivalent to 2x + 4y = 6?

Question 9 9. What is the domain of this function?

Question 10 10. The set of input, or x, values for which the function is defined is called the _____.

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

Question 12 12.

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?

Question 13 13. If f(6) = 5, f(1) = 15, g(8) = 3, and g(1) = 6, evaluate f(g(1)).

Question 14 14. Which piecewise function is represented by this graph?

Question 15 15. Take the following function, shift it up 1 unit, and reflect it about the x-axis:

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Question 16 16. What is the domain of a piecewise function?

Question 17 17. If f(x) = 2x and g(x) = x+1, evaluate f(f(g(1))).

Question 18 18.

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

Question 19 19. If f(x) = x/2 and g(x) = x + 5, evaluate g(f(6)).

Question 20 20.

Solve the following equation for c.

2a - 3b + c - 3 = 6a + 4b - 12

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Question 21 21. All of the following are piecewise functions, EXCEPT:

Question 22 22. If f(x) = 2x + 1 and g(x) = x+1, evaluate f(g(4)).

Question 23 23. What translations have been made to g(x)?

Question 24 24. What is the domain of this function?

Question 25 25. Which of the following is NOT a piecewise function?

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Question 26 26.

Solve for x and y.

x + y = 5

x - y = -1

Question 27 27.

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

f(x) = 2x + 3, x ≤ -5

f(x) = x³, x > -5

Question 28 28. If f(x) = 2x + 1 and g(x) = x + 1, write the composite function f(f(x)).

Question 29 29.

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

Piecewise & Composite Functions: College Precalculus Lesson Plans 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!

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