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Understanding Relations & Functions 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 g(f(x)) if f(x) = g-1 (x)?

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

Question 3 3. Complete the phrase: The graph of a function will never ___________.

Question 4 4. Which of the following is a function?

Question 5 5. When it comes to relations in math, the range is the set of _____.

Page 2

Question 6 6. Which of the following does NOT provide enough information to create a set of ordered pairs?

Question 7 7. Which of the following statements are true about the relation shown?

Question 8 8. A relation is shown. Consider the input 7. What output is it related to?

Question 9 9. Which function produces an output of 5 for an input of -6?

Question 10 10. Write the algebraic expression y = -2x + 6 using function notation

Page 3

Question 11 11. What is the inverse function of f(x) = 3(x - 2)3?

Question 12 12. Which of the following is the inverse function of f(x) = 3x?

Question 13 13. What is the domain of f(x) = 1 / x?

Question 14 14. Write the composite function f(g(x)) when f(x) = x^2 + x + 1 and g(x) = x + 1.

Question 15 15. The revenue of a company is represented by R(x) and their costs are represented by C(x). What is the profit function R(x) - C(x)?

Page 4

Question 16 16.

Use f(x) and g(x) to find f(x) * g(x).

f(x) = -x + 5 and g(x) = 3x + 2

Question 17 17. Can you compare one function written numerically as a table to another function written as a graph?

Question 18 18. Which of these functions has a higher rate of change?

Question 19 19. Recalling function notation, we want x to be w. Therefore, if f(x) = (3x + 5) / 2, find f(w).

Question 20 20. If f(x) = 5 - 2x and g(x) = -4x + 2, find g(f(x)).

Page 5

Question 21 21. Which of the following is written in function notation?

Question 22 22. Which of the following makes an equation a relation rather than a function?

Question 23 23. Find f(x) if f-1 (x) = x3 + 2

Question 24 24. Which linear relation is not a function?

Question 25 25.

What is the domain of this set of ordered pairs?

{ (4, 8), (6, -3), (1, 7), (-12, 5) }

Page 6

Question 26 26. Which of the following statements are true about the relation shown?

Question 27 27. Explain why the expression x = 2 is NOT a function:

Question 28 28. Which of the following is the inverse function of f(x) = 2x - 3?

Question 29 29. What is the domain of the function f(x) = x?

Question 30 30. Use the information given to find h(x) / l(x): h(x) = 6x2 and l(x) = 2x5

Understanding Relations & Functions 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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