Algebra II - Properties of Functions Review: Tutoring Solution 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. What is the range of the function represented by the graph below?

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

Question 3 3. If f(x) = -2x -5 and g(x) = x^2 + 1, find f(g(x)).

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

Question 5 5. What notation do you use to show that you have an inverse function?

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Question 6 6. If the graph of f(x) is shown below, which choice represents the graph of f(x + 1) + 2?

Question 7 7. What is the domain of the function below?

Question 8 8. Which kind of transformation stretches or shrinks the graph of the function?

Question 9 9.

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

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

Question 10 10.

Find the inverse of the following function:

f(x) = 2x + 1

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Question 11 11. 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 12 12. Use the graph to find f(f(2)).

Question 13 13. If the domain of the function f(x) = x^2 is 0 ≤ x, what is the range of f?

Question 14 14. Which function would NOT pass the horizontal line test?

Question 15 15.

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

Question 17 17. Evaluate f(x) = √(x), when x = 9.

Question 18 18. If f(x) = 5 + 3x and g(x) = 5 - 9x, find f(g(2)).

Question 19 19. Which one of these functions has a domain of all real numbers?

Question 20 20.

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

f(x) = 1/x

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

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Question 21 21.

Find f(g(2)) if:

f(x) = x^2

g(x) = x^3

Question 22 22. In the figure shown below, the graph of the yellow function is a translation of the graph of the blue function. If the expression for the blue function is y(x) = b(x), which of the following is the equation of the yellow function?

Question 23 23. Evaluate h(x) = 5x + 1, when x=3.

Question 24 24. Find the FALSE statement.

Question 25 25. If f(x) = 5 - 2x and g(x) = -4x + 2, find g(f(x)).

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Question 26 26. Which kind of transformation would change the purple function below into the yellow one?

Question 27 27. Use the information given to find h(x) / l(x): h(x) = 6x2 and l(x) = 2x5

Question 28 28. How do you determine whether a function is an inverse of another function?

Question 29 29.

Find the inverse function of:

y = 1/x

Question 30 30. What is the inverse function of f(x) = 3(x - 2)3?

Algebra II - Properties of Functions Review: Tutoring Solution 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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