# Identifying and Working with Functions: Tutoring Solution Chapter Exam

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#### Question 1 1. Which of the following statements is true?

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

#### Question 3 3. Which of the following is written in Function Notation?

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Question 4
4.
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 5 5. Find the FALSE statement.

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#### Question 6 6. Which function would NOT pass the horizontal line test?

#### Question 7 7. Which of the following describes the 'composite' of two functions?

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Question 8
8.
Find the domain of f(x) + g(x) if

f(x) = 2x and

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

#### Question 9 9. 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 10 10. What is the inverse function of f(x) = 3(x - 2)3?

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Question 11
11.
If f(*x*) = 5 - 2*x* and g(*x*) = -4*x* + 2, find g(f(*x*)).

#### Question 12 12. What notation do you use to show that you have an inverse function?

#### Question 13 13. Evaluate f(f(x)). [Yes, it says f(f(x)]

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

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

#### Question 17 17. Which of the following is the inverse function of f(x) = 2x - 3?

#### Question 18 18. Which kind of transformation stretches or shrinks the graph of the function?

#### Question 19 19. Evaluate.

#### Question 20 20. What is the range of the function represented by the graph below?

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#### Question 21 21. Which kind of transformation would change the red function below into the green one?

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Question 22
22.
Find f(g(2)) if:

f(x) = x^2

g(x) = x^3

#### Question 23 23. Use the information given to find h(x) / l(x): h(x) = 6x2 and l(x) = 2x5

#### Question 24 24. Using the function below, evaluate g(7).

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Question 25
25.
What is the range of the function: *g*(*x*) = |x| + 1

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Question 26
26.
Find the inverse of the following function:

f(x) = 2x + 1

#### Question 27 27. Which set of ordered pairs is NOT a function?

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

f(x) = 1/x

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

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Question 29
29.
Find the inverse function of:

y = 1/x

#### Question 30 30. Find the domain of f(x)/g(x), if:

#### Identifying and Working with Functions: Tutoring Solution 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!