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6th-8th Grade 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!

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Question 1 1. 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)?

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

Question 3 3. If f(x) = -2x - 5 and g(x) = x^2 + 1, find f(f(x)).

Question 4 4. Which one of these functions has a domain of all real numbers?

Question 5 5.

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

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

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Question 6 6.

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

Question 8 8. Using the graph, find f(f(-2)).

Question 9 9.

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

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

Question 10 10. What is the domain of √(x)?

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Question 11 11. Find the FALSE statement.

Question 12 12. What is the range of the function represented by the graph below?

Question 13 13. What notation do you use to show that you have an inverse function?

Question 14 14. Which kind of transformation stretches or shrinks the graph of the function?

Question 15 15.

Find the inverse of the following function:

f(x) = 2x + 1

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Question 16 16. Which of the following statements best describes the 'composite' of two functions?

Question 17 17. If f(x) = 5 + 3x and g(x) = 5 - 9x, find f(g(2)).

Question 18 18. When the graph of f(x - 1) + 3 is changed into the graph of f(x + 1) + 3, the graph will shift in which direction?

Question 19 19. Which of the following is the inverse function of f(x) = 2x - 3?

Question 20 20.

Find f(g(2)) if:

f(x) = x^2

g(x) = x^3

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Question 21 21.

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

f(x) = 1/x

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

Question 22 22. If f(x) = -2x -5 and g(x) = x^2 + 1, find f(g(x)).

Question 23 23. If f(x) = 5 - 2x and g(x) = -4x + 2, find g(f(x)).

Question 24 24. What is the range of the function: g(x) = |x| + 1

Question 25 25.

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

f(x) = 2x and

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

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Question 26 26. Use the graph to find f(f(2)).

Question 27 27.

Find the domain of the inverse function of:

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

Question 28 28. What is the domain of the function below?

Question 29 29. Evaluate f(x) = √(x), when x = 9.

Question 30 30. If the graph of f(x) is shown below, which choice represents the graph of f(x + 1) + 2?

6th-8th Grade 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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