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WEST Middle Grades Math: Properties of 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 the inverse function of f(x) = 3(x - 2)3?

Question 2 2. The collection of all the outputs of a function is known as which one of the following?

Question 3 3. Which of the following statements is true?

Question 4 4. Use the graph to find f(f(2)).

Question 5 5. If f(x) = -2x - 5 and g(x) = x^2 + 1, find f(f(x)).

Page 2

Question 6 6.

Find the domain of the inverse function of:

f(x) = 1/(x-3)

Question 7 7.

Find the inverse of the following function:

f(x) = 2x + 1

Question 8 8. Use the information given to find h(x) / l(x): h(x) = 6x2 and l(x) = 2x5

Question 9 9. Using the graph, find f(f(-2)).

Question 10 10. Which kind of transformation would change the purple function below into the yellow one?

Page 3

Question 11 11. In the figure shown below, the graph of the yellow function is a translation of the graph of the blue function. If the expression for the blue function is y(x) = b(x), which of the following is the equation of the yellow function?

Question 12 12. How do you determine whether a function is an inverse of another function?

Question 13 13. Which of the following is the inverse function of f(x) = 2x - 3?

Question 14 14.

Find the domain of f(g(x)), if:

f(x) = 1/x

g(x) = 1/(x+4)

Question 15 15.

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

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

Page 4

Question 16 16. Evaluate h(x) = 5x + 1, when x=3.

Question 17 17.

Find the domain of f(x) + g(x) if

f(x) = 2x and

g(x) = sqrt (x+ 5).

Question 18 18. What is the range of the function: g(x) = |x| + 1

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. Find the FALSE statement.

Page 5

Question 21 21. What is the range of the function represented by the graph below?

Question 22 22. Which function would NOT pass the horizontal line test?

Question 23 23. What notation do you use to show that you have an inverse function?

Question 24 24. If f(x) = -2x -5 and g(x) = x^2 + 1, find f(g(x)).

Question 25 25. 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 6

Question 26 26. What is the domain of the function below?

Question 27 27. If f(x) = 5 + 3x and g(x) = 5 - 9x, find f(g(2)).

Question 28 28.

Find the domain of f(f(x)) if

f(x) = (x+1)/x

Question 29 29. If f(x) = 5 - 2x and g(x) = -4x + 2, find g(f(x)).

Question 30 30. Which kind of transformation stretches or shrinks the graph of the function?

WEST Middle Grades Math: Properties of 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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