Functions in Math: 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!

Page 1

Question 1 1. What is the inverse function of f(x) = x/8 + x + 2?

Question 2 2. Which kind of transformation would change the purple function below into the yellow one?

Question 3 3.

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 4 4. 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 5 5. Which of the following describes the 'composite' of two functions?

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Question 6 6. If the graph of f(x) is shown below, which choice represents the graph of f(x + 1) + 2?

Question 7 7. What is the inverse function of f(x) = 3(x - 2)3?

Question 8 8.

Find the inverse of the following function:

f(x) = 2x + 1

Question 9 9.

Manipulate the following equation to isolate the y variable.

x - 3y = 12

Question 10 10. Which of the following is the inverse function of f(x) = 3x?

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Question 11 11. Find the domain of f(x)/g(x), if:

Question 12 12. What translations have been made to f(x)?

Question 13 13. Take the following function, shift it up 1 unit, and reflect it about the x-axis:

Question 14 14. Find the FALSE statement.

Question 15 15.

Find f(g(2)) if:

f(x) = x^2

g(x) = x^3

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Question 16 16.

What is the composite of the function below and its inverse?

f(x) = (x-2)/3

f^(-1)(x) = 3x + 2

Note: f^(-1)(x) indicates the inverse of the function f.

Question 17 17. Which of the following is NOT a piecewise function?

Question 18 18. The collection of all the outputs of a function is known as the _____.

Question 19 19. Which piecewise function is represented by this graph?

Question 20 20.

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?

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Question 21 21. Which of the following statements is true?

Question 22 22. Factor x^2+4x-5.

Question 23 23. For a function f(x), what is f-1 (3*f(x))?

Question 24 24. Using the graph, find f(f(-2)).

Question 25 25. Factor the quadratic x^2-4.

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Question 26 26.

Which one of the following equals 2 * 2 * 2 * 2?

I) 2^4

II) 2^2 * 2^2

III) 2^6/2^4

Question 27 27.

Which graph represents this piecewise function?

f(x) = 2x, x < 1

f(x) = x² - 1, x ≥ 1

Question 28 28. Which function would NOT pass the horizontal line test?

Question 29 29. Use the information given to find h(x) / l(x): h(x) = 6x2 and l(x) = 2x5

Question 30 30. Which equation is NOT equivalent to 2x + 4y = 6?

Functions in Math: 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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