Piecewise and Composite Functions: Help and Review 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. Which of the following is NOT a piecewise function?

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

Question 3 3.

Solve for x and y.

x + y = 5

x - y = -1

Question 4 4. What is the domain of this function?

Question 5 5. What translations have been made to f(x)?

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Question 6 6.

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

f(x) = 2x + 3, x ≤ -5

f(x) = x³, x > -5

Question 7 7. Take the following function, shift it up 1 unit, and reflect it about the x-axis:

Question 8 8. What is the most common piecewise function?

Question 9 9. What translations have been made to g(x)?

Question 10 10. What is the domain of a piecewise function?

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Question 11 11. 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 12 12. If f(x) = 2x + 1 and g(x) = x + 1, write the composite function f(f(x)).

Question 13 13. In which function has f(x) been shifted up 2 units and 7 units to the right?

Question 14 14.

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 15 15.

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

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Question 16 16. The set of input, or x, values for which the function is defined is called the _____.

Question 17 17. Which piecewise function is represented by this graph?

Question 18 18. If f(6) = 5, f(1) = 15, g(8) = 3, and g(1) = 6, evaluate f(g(1)).

Question 19 19.

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 20 20.

Which graph represents this piecewise function?

f(x) = 2x, x < 1

f(x) = x² - 1, x ≥ 1

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Question 21 21.

Manipulate the following equation to isolate the y variable.

x - 3y = 12

Question 22 22.

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

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

Question 25 25. What is the domain of this function?

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Question 26 26. If f(x) = 2x + 1 and g(x) = x+1, evaluate f(g(4)).

Question 27 27.

Solve for x and y.

x - 3y = -1

2x - 2y = 2

Question 28 28. Which equation is NOT equivalent to 2x + 4y = 6?

Question 29 29.

Solve the following equation for c.

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

Question 30 30. All of the following are piecewise functions, EXCEPT:

Piecewise and Composite Functions: Help and Review 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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