# Functions - AP Calculus: Homeschool Curriculum 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.
Find f(g(2)) if:

f(x) = x^2

g(x) = x^3

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

#### Question 3 3. Use the information given to find h(x) / l(x): h(x) = 6x2 and l(x) = 2x5

#### Question 4 4. 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 5 5. Evaluate f(f(x)). [Yes, it says f(f(x)]

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#### Question 6 6. When the graph of f(x - 1) + 3 is changed into the graph of f(x + 1) + 3, the graph will shift _____

#### Question 7 7. Which of the following makes an equation a relation rather than a function?

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Question 8
8.
Use f(x) and g(x) to find f(x) + g(x).

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

#### Question 9 9. 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 10 10. The collection of all the outputs of a function is known as the _____.

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

#### Question 12 12. Find the FALSE statement.

#### Question 13 13. Which of the following statements is true?

#### Question 14 14. How do you determine whether a function is an inverse of another function?

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Question 15
15.
What is the range of the function: *g*(*x*) = |x| + 1

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#### Question 16 16. What is the range of the function represented by the graph below?

#### Question 17 17. What is the domain of the function below?

#### Question 18 18. Which of the following describes the 'composite' of two functions?

#### Question 19 19. If the graph of f(x) is shown below, which choice represents the graph of f(x + 1) + 2?

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Question 20
20.
Find the domain of f(f(x)) if

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

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#### Question 21 21. Use the graph to find f(f(2)).

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Question 22
22.
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 23 23. Which of the following is the inverse function of f(x) = 3x?

#### Question 24 24. Which set of ordered pairs is NOT a function?

#### Question 25 25. Which kind of transformation would change the purple function below into the yellow one?

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#### Question 26 26. Using the function below, evaluate g(7).

#### Question 27 27. Which kind of transformation stretches or shrinks the graph of the function?

#### Question 28 28. Find the domain of f(x)/g(x), if:

#### Question 29 29. Evaluate.

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Question 30
30.
Use f(x) and g(x) to find g(x) - f(x).

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

#### Functions - AP Calculus: Homeschool Curriculum 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!