# ORELA Middle Grades Math: Properties of Functions 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. What is the inverse function of f(x) = 3(x - 2)3?

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

#### Question 3 3. What is the domain of √(x)?

#### Question 4 4. How do you determine whether a function is an inverse of another function?

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Question 5
5.
Remembering function notation, we want *x* to be *w*. Therefore, if

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#### Question 6 6. Which of the following statements is true?

#### Question 7 7. Which of the following is the inverse function of f(x) = 2x - 3?

#### Question 8 8. Which one of these functions has a domain of all real numbers?

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Question 9
9.
What is the range of the function: *g*(*x*) = |x| + 1

#### Question 10 10. If the domain of the function f(x) = x^2 is 0 ≤ x, what is the range of f?

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#### Question 11 11. Which kind of transformation stretches or shrinks the graph of the function?

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Question 12
12.
Find the domain of f(x) + g(x) if

f(x) = 2x and

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

#### Question 13 13. Evaluate h(x) = 5x + 1, when x=3.

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Question 14
14.
Find the inverse function of:

y = 1/x

#### Question 15 15. 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?

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#### Question 16 16. The collection of all the outputs of a function is known as the _____.

#### Question 17 17. When the graph of f(x - 1) + 3 is changed into the graph of f(x + 1) + 3, the graph will shift _____

#### Question 18 18. 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 19
19.
Find the domain of f(f(x)) if

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

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Question 20
20.
Find the inverse of the following function:

f(x) = 2x + 1

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Question 21
21.
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 22 22. If f(x) = 5 + 3x and g(x) = 5 - 9x, find f(g(2)).

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Question 23
23.
Find the domain of f(g(x)), if:

f(x) = 1/x

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

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Question 24
24.
If f(*x*) = 5 - 2*x* and g(*x*) = -4*x* + 2, find g(f(*x*)).

#### Question 25 25. Using the graph, find f(f(-2)).

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#### Question 26 26. Find the domain of f(x)/g(x), if:

#### Question 27 27. Evaluate.

#### Question 28 28. Which of the following describes the 'composite' of two functions?

#### Question 29 29. What notation do you use to show that you have an inverse function?

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Question 30
30.
Find f(g(2)) if:

f(x) = x^2

g(x) = x^3

#### ORELA Middle Grades Math: Properties 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!