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Algebra II: Properties of Functions Review Chapter Exam

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!

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Question 1 1. If the domain of the function f(x) = x^2 is 0 ≤ x, what is the range of f?

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

Question 4 4. Which of the following is the inverse function of f(x) = 2x - 3?

Question 5 5. How do you determine whether a function is an inverse of another function?

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Question 6 6. The amount of money you spend on coffees every month can be calculated as a function of the number of drinks you order every month. What are the independent and dependent variables in this function?

Question 7 7. Which one of these functions has a domain of all real numbers?

Question 8 8. What notation do you use to show that you have an inverse function?

Question 9 9. If f(x) = -2x -5 and g(x) = x^2 + 1, find f(g(x)).

Question 10 10. What is the domain of the function below?

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Question 11 11. The collection of all the outputs of a function is known as which one of the following?

Question 12 12.

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

f(x) = 1/x

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

Question 13 13.

Find the domain of f(f(x)) if

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

Question 14 14. Using the graph, find f(f(-2)).

Question 15 15.

Find the inverse function of:

y = 1/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. Find the domain of f(x)/g(x), if:

Question 18 18.

Find the domain of the inverse function of:

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

Question 19 19. Find the FALSE statement.

Question 20 20. Which of the following statements is true?

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Question 21 21. Use the graph to find f(f(2)).

Question 22 22. Which of the following statements best describes the 'composite' of two functions?

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

Question 24 24.

Find the domain of f(x) + g(x) if

f(x) = 2x and

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

Question 25 25. What is the inverse function of f(x) = 3(x - 2)3?

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Question 26 26. Which function would NOT pass the horizontal line test?

Question 27 27. What is the domain of √(x)?

Question 28 28. When the graph of f(x - 1) + 3 is changed into the graph of f(x + 1) + 3, the graph will shift in which direction?

Question 29 29.

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

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

Question 30 30. If f(x) = 5 + 3x and g(x) = 5 - 9x, find f(g(2)).

Algebra II: Properties of Functions Review 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!

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