# ORELA Math: Functions Chapter Exam

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### Page 1

#### Question 1 1. Which function produces an output of 5 for an input of -6?

#### Question 2 2. The collection of all the outputs of a function is known as which one of the following?

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Question 3
3.
Find the inverse function of:

y = 1/x

#### Question 4 4. Test this equation for symmetry:

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

### Page 2

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Question 6
6.
Use f(x) and g(x) to find f(x) * g(x).

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

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Question 7
7.
If f(*x*) = 5 - 2*x* and g(*x*) = -4*x* + 2, find g(f(*x*)).

#### Question 8 8. What is the range of the function represented by the graph below?

#### Question 9 9. Test the following graph for symmetry about the origin:

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Question 10
10.
What is the domain of the function *f(x)* = *x*?

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Question 11
11.
Test the following points for symmetry about the origin:

(-1,-5), (-3, -8) and (-5, -13); (1,5), (3,-8) and (5, -13)

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Question 12
12.
Find f(*x*) if f-1 (*x*) = *x*3 + 2

#### Question 13 13. Which kind of transformation would change the purple function below into the yellow one?

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Question 14
14.
Identify the following equation:

y= |x| + 4

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Question 15
15.
Evaluate the function for the given inputs:

f(x) = -x - 1

Domain = {0, 1, 2}

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#### Question 16 16. Which of the following is the inverse function of f(x) = 3x?

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Question 17
17.
Use f(x) and g(x) to find f(x) + g(x).

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

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Question 18
18.
What is the domain of *f(x)* = 1 / *x*?

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Question 19
19.
Test the following equation for symmetry:

y= x^2 +6

#### Question 20 20. Which one of these functions has a domain of all real numbers?

### Page 5

#### Question 21 21. Explain why the expression x = 2 is NOT a function:

#### Question 22 22. Which function would NOT pass the horizontal line test?

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Question 23
23.
Use f(x) and g(x) to find g(x) - f(x).

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

#### Question 24 24. If f(x) = 5 + 3x and g(x) = 5 - 9x, find f(g(2)).

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Question 25
25.
What is the inverse function of f(*x*) = *x*/8 + *x* + 2?

### Page 6

#### Question 26 26. On the graph of an even function, _____.

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Question 27
27.
Test the following points for symmetry:

(3,4) (3,5) (3,6) (4,8) (3,-4) (3, -5) (3, -6) (4,-8)

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Question 28
28.
If *f(x)* = *x* and *g(x)* = 1 / *x*, what is the domain of *f(g(x))*?

#### Question 29 29. 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 30
30.
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.

#### ORELA Math: 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!