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Properties of Functions 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. For a function g(x), how would the graph of g(x+3) - 2 look compared to g(x)?

Question 2 2. Find the domain for the following function

Question 3 3. Which of the following describes the 'composite' of two functions?

Question 4 4. Which one of these functions has a domain of all real numbers?

Question 5 5. Use the information given to find h(x) / l(x): h(x) = 6x2 and l(x) = 2x5

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Question 6 6. What is the domain of √(x)?

Question 7 7.

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

Question 9 9. For f(x) and g(x) below, find f(x) - g(x)

Question 10 10.

Find the inverse function of:

y = 1/x

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Question 11 11.

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

f(x) = 1/x

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

Question 12 12.

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

f(x) = 2x and

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

Question 13 13. For the graph of the function f(x) shown below, find f(f(0))

Question 14 14.

Find f(g(2)) if:

f(x) = x^2

g(x) = x^3

Question 15 15. What is the range of the function: g(x) = |x| + 1

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Question 16 16. Find f(-2) for the following function:

Question 17 17. Using the graph, find f(f(-2)).

Question 18 18. For the following function, find f(f(x)):

Question 19 19. Evaluate h(x) = 5x + 1, when x=3.

Question 20 20. Which of the following makes an equation a relation rather than a function?

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Question 21 21. What is the range of the function represented by the graph below?

Question 22 22. For the following functions f(x) and g(x), find f(g(x))

Question 23 23. How do you determine whether a function is an inverse of another function?

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

Question 25 25. The function graphed in red below is f(x). Express the function graphed in blue in terms of f(x)

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

Question 27 27. If the graph of f(x) is shown below, which choice represents the graph of f(x+1)+2 ?

Question 28 28. Identify the Range for the function shown below

Question 29 29. If f(x) = 5 - 2x and g(x) = -4x + 2, find g(f(x)).

Question 30 30. Evaluate.

Properties of Functions Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next question. You can skip questions if you would like and come back to them later with the "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. You will lose your work if you close or refresh this page. Good luck!

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