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NMTA Middle Grades Math: 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!

Page 1

Question 1 1. 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 2 2. The collection of all the outputs of a function is known as which one of the following?

Question 3 3. Use the information given to find h(x) / l(x): h(x) = 6x2 and l(x) = 2x5

Question 4 4. If f(x) = -2x - 5 and g(x) = x^2 + 1, find f(f(x)).

Question 5 5. Which of the following statements best describes the 'composite' of two functions?

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Question 6 6. If the domain of the function f(x) = x^2 is 0 ≤ x, what is the range of f?

Question 7 7.

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

f(x) = 1/x

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

Question 8 8. If f(x) = -2x -5 and g(x) = x^2 + 1, find f(g(x)).

Question 9 9. 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 10 10. Which of the following is the inverse function of f(x) = 3x?

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Question 11 11. Recalling function notation, we want x to be w. Therefore, if f(x) = (3x + 5) / 2, find f(w).

Question 12 12.

Find f(g(2)) if:

f(x) = x^2

g(x) = x^3

Question 13 13. What is the domain of the function below?

Question 14 14.

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

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

Question 15 15. If the graph of f(x) is shown below, which choice represents the graph of f(x + 1) + 2?

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Question 16 16.

Find the inverse of the following function:

f(x) = 2x + 1

Question 17 17. Which kind of transformation stretches or shrinks the graph of the function?

Question 18 18. What notation do you use to show that you have an inverse function?

Question 19 19. What is the domain of √(x)?

Question 20 20.

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

Question 22 22. Which function would NOT pass the horizontal line test?

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

Question 24 24.

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 25 25. Find the FALSE statement.

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Question 26 26. What is the range of the function represented by the graph below?

Question 27 27. Which kind of transformation would change the purple function below into the yellow one?

Question 28 28. What is the inverse function of f(x) = 3(x - 2)3?

Question 29 29. Find the domain of f(x)/g(x), if:

Question 30 30. Using the graph, find f(f(-2)).

NMTA Middle Grades Math: 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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