# Functions in AP Calculus: Help and Review Chapter Exam

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. Which set of ordered pairs is NOT a function?

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Question 2
2.
Find the domain of f(g(x)), if:

f(x) = 1/x

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

#### Question 3 3. What is the domain of the function below?

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

#### Question 5 5. Which kind of transformation stretches or shrinks the graph of the function?

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#### Question 6 6. What is the inverse function of f(x) = 3(x - 2)3?

#### Question 7 7. Using the graph, find f(f(-2)).

#### Question 8 8. If the graph of f(x) is shown below, which choice represents the graph of f(x + 1) + 2?

#### Question 9 9. Which of the following is the inverse function of f(x) = 3x?

#### Question 10 10. Which of the following describes the 'composite' of two functions?

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Question 11
11.
Remembering function notation, we want *x* to be *w*. Therefore, if

#### Question 12 12. Which of the following makes an equation a relation rather than a function?

#### Question 13 13. 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 14 14. What is the range of the function represented by the graph below?

#### Question 15 15. Which of the following is the inverse function of f(x) = 2x - 3?

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#### Question 16 16. Evaluate f(f(x)). [Yes, it says f(f(x)]

#### Question 17 17. Which graph below is a function?

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Question 18
18.
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 19 19. Which kind of transformation would change the purple function below into the yellow one?

#### Question 20 20. Which of the following is written in Function Notation?

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Question 21
21.
Use f(x) and g(x) to find g(x) - f(x).

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

#### Question 22 22. Which one of these functions has a domain of all real numbers?

#### Question 23 23. 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 24
24.
Find the inverse function of:

y = 1/x

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

#### Question 27 27. Using the function below, evaluate g(7).

#### Question 28 28. The collection of all the outputs of a function is known as the _____.

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

#### Question 30 30. If f(x) = 5 + 3x and g(x) = 5 - 9x, find f(g(2)).

#### Functions in AP Calculus: 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!