# Functions Chapter Exam

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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. Which of the following functions HAS the value x = 2 in its domain?

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

#### Question 4 4. Which set of ordered pairs is NOT a function?

#### Question 5 5. If f(x) = |x| and g(x) = |x-3|, how do the two graphs compare?

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#### Question 6 6. Find the inverse function of f(x) = (x+3)/2

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Question 7
7.
Find the inverse function of:

y = 1/x

#### Question 8 8. Given the function below, evaluate g(7).

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Question 9
9.
Use f(x) and g(x) to find f(x) * g(x).

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

#### Question 10 10. How do you determine whether a function is an inverse of another function?

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#### Question 11 11. What is the inverse function of f(x) = 3(x - 2)3?

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

#### Question 13 13. Find f(3) if f(x) = 2x + 1

#### Question 14 14. Which function would NOT pass the horizontal line test?

#### Question 15 15. Find the domain of f(x)/g(x), if:

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#### Question 16 16. Use the information given to find h(x) / l(x): h(x) = 6x2 and l(x) = 2x5

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Question 17
17.
If f(*x*) = 5 - 2*x* and g(*x*) = -4*x* + 2, find g(f(*x*)).

#### Question 18 18. Which graph below is a function?

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Question 19
19.
You have the two functions: f(x) = 3x and g(x) = 2x

Find f/g (2)

#### Question 20 20. If f(x) = x^2, find f(f(x)) (the composite of f(x) and itself)

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Question 21
21.
Assume you graph two functions:

1. f(x)

2. f(x) + 5

How do the two graphs compare?

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Question 22
22.
Find the composite of the two functions, g(f(x))

f(x) = x^3 - 2x

g(x) = 3x

#### Question 23 23. How would you read aloud the following notation: f(x) ?

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

#### Question 25 25. What is the range of the function y = x^2 + 2?

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#### Question 26 26. Which of the following statements best describes the 'composite' of two functions?

#### Question 27 27. The collection of all the outputs of a function is known as which one of the following?

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Question 28
28.
Use f(x) and g(x) to find g(x) - f(x).

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

#### Question 29 29. Which one of these functions has a domain of all real numbers?

#### Question 30 30. Find the FALSE statement.

#### 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!