The Basics 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.

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 2 2.

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

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

Question 3 3. Use f(x) and g(x) to find f(x) + g(x): f(x) = -x + 5 and g(x) = 3x + 2

Question 4 4. Which of the following statements is true?

Question 5 5.

Find the inverse of the following function:

f(x) = 2x + 1

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Question 6 6.

Find the domain of the inverse function of:

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

Question 7 7. If f(x) = 5 - 2x and g(x) = -4x + 2, find g(f(x)).

Question 8 8. Find the domain of f(x)/g(x), if:

Question 9 9. What is the domain of √(x)?

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

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Question 11 11. What notation do you use to show that you have an inverse function?

Question 12 12. Use the graph to find f(f(2)).

Question 13 13. Which graph below is a function?

Question 14 14. Use f(x) and g(x) to find f(x) * g(x): f(x) = -x + 5 and g(x) = 3x + 2

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)?

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Question 16 16. Which of the following is the inverse function of f(x) = 2x - 3?

Question 17 17. If the domain of the function f(x) = x^2 is 0 ≤ x, what is the range of f?

Question 18 18. Remembering function notation, we want x to be w. Therefore, if

Question 19 19. The collection of all the outputs of a function is known as the _____.

Question 20 20. Using the graph, find f(f(-2)).

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Question 21 21. When the graph of f(x - 1) + 3 is changed into the graph of f(x + 1) + 3, the graph will shift _____

Question 22 22.

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

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

Question 23 23.

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

f(x) = 1/x

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

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

Question 25 25. Which of the following makes an equation a relation rather than a function?

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Question 26 26. Evaluate.

Question 27 27. How do you determine whether a function is an inverse of another function?

Question 28 28. In the figure shown below, the graph of the green function is a translation of the graph of the red function. If the expression for the red function is g(x) = r(x), which of the following is the equation of the green function?

Question 29 29. Find the FALSE statement.

Question 30 30. Which set of ordered pairs is NOT a function?

The Basics 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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