# Holt McDougal Algebra 2 Chapter 9: Properties and Attributes of Functions Chapter Exam

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#### Question 1 1. Which piecewise function is represented by this graph?

#### Question 2 2. Which of the following statements is true?

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Question 3
3.
What is the domain of *f(x)* = 1 / *x*?

#### Question 4 4. Take the following function, shift it up 1 unit, and reflect it about the x-axis:

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Question 5
5.
Use f(x) and g(x) to find g(x) - f(x).

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

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Question 6
6.
Find the domain of the inverse function of:

f(x) = 1/(x-3)

#### Question 7 7. All of the following are one-to-one functions, EXCEPT:

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Question 8
8.
Find the inverse of the following function:

f(x) = 2x + 1

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Question 9
9.
Find the inverse function of:

y = 1/x

#### Question 10 10. Find the FALSE statement.

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Question 11
11.
Use f(x) and g(x) to find f(x) * g(x).

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

#### Question 12 12. The plot of x - y = 10 is the same as the plot of:

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Question 13
13.
Find the domain of f(f(x)) if

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

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Question 14
14.
Evaluate the following piecewise function for x = 2 and x = -7.

f(x) = 2x + 3, x ≤ -5

f(x) = x³, x > -5

#### Question 15 15. While reading your textbook, you find a function that has two inputs that produce the same answer. Based on this information, you know that this function is _____.

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Question 16
16.
Remembering function notation, we want *x* to be *w*. Therefore, if

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Question 17
17.
What is the range of the function *f(x)* = *x*^2?

#### Question 18 18. A one-to-one function crosses a horizontal line how many times?

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Question 19
19.
Your cell phone plan costs $75/month and gives you unlimited talking time and 500 text messages per month. After 500 text messages, it costs $0.10 per text you send.

If you send 870 texts in January, how much is your total cell phone bill?

#### Question 20 20. What is the most common piecewise function?

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#### Question 21 21. How do you determine whether a function is an inverse of another function?

#### Question 22 22. What notation do you use to show that you have an inverse function?

#### Question 23 23. Which function would NOT pass the horizontal line test?

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Question 24
24.
You have a summer job that pays time and a half for overtime (any hours over 40 in a week). Overtime is 1.5 times your hourly rate of $7.00/hr.

How much money will you make if you work 50 hours in one week?

#### Question 25 25. The graph of y = x - 2 will pass through which quadrants?

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

f(x) = 1/x

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

#### Question 27 27. All of the following are piecewise functions, EXCEPT:

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Question 28
28.
What is the domain of the function *f(x)* = *x*?

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Question 29
29.
Find the domain of f(x) + g(x) if

f(x) = 2x and

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

#### Question 30 30. The graph of y = (1 + x)^2 will lie in which quadrants?

#### Holt McDougal Algebra 2 Chapter 9: Properties and Attributes 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!