High School Algebra: 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.

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

f(x) = 2x and

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

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

Question 4 4. Using the graph, find f(f(-2)).

Question 5 5. Use the graph to find f(f(2)).

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Question 6 6. If f(x) = -2x -5 and g(x) = x^2 + 1, find f(g(x)).

Question 7 7. Which kind of transformation would change the purple function below into the yellow one?

Question 8 8.

Find the domain of the inverse function of:

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

Question 9 9. Recalling function notation, we want x to be w. Therefore, if f(x) = (3x + 5) / 2, find f(w).

Question 10 10.

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

Question 12 12.

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

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

Question 13 13. Evaluate h(x) = 5x + 1, when x=3.

Question 14 14. How do you determine whether a function is an inverse of another function?

Question 15 15. 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?

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Question 16 16. What is the domain of the function below?

Question 17 17. What is the domain of √(x)?

Question 18 18. Which one of these functions has a domain of all real numbers?

Question 19 19. What is the inverse function of f(x) = 3(x - 2)3?

Question 20 20. 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 21 21. If f(x) = -2x - 5 and g(x) = x^2 + 1, find f(f(x)).

Question 22 22. Find the domain of f(x)/g(x), if:

Question 23 23. What is the range of the function represented by the graph below?

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

Question 25 25. What notation do you use to show that you have an inverse function?

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Question 26 26. The collection of all the outputs of a function is known as which one of the following?

Question 27 27. If f(x) = 5 - 2x and g(x) = -4x + 2, find g(f(x)).

Question 28 28.

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 29 29. Evaluate f(x) = √(x), when x = 9.

Question 30 30. If the domain of the function f(x) = x^2 is 0 ≤ x, what is the range of f?

High School Algebra: Properties 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!

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