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NMTA Math: 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 collection of all the outputs of a function is known as which one of the following?

Question 2 2. 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 3 3. Which linear relation is not a function?

Question 4 4.

The following function is _____.

y=2x^3 - 6x

Question 5 5. Complete the phrase: The graph of a function will never ___________.

Page 2

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

Question 7 7. Test this equation for symmetry:

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

Question 9 9.

Test the following equation for symmetry about the origin:

x + 3y = 27

Question 10 10. Use the information given to find h(x) / l(x): h(x) = 6x2 and l(x) = 2x5

Page 3

Question 11 11. How do you determine whether a function is an inverse of another function?

Question 12 12. What is the range of the function: g(x) = |x| + 1

Question 13 13. For a function f(x), what is f - 1 (3 * f(x))?

Question 14 14.

Test the following points for symmetry about the origin:

(-1,-5), (-3, -8) and (-5, -13); (1,5), (3,-8) and (5, -13)

Question 15 15.

If f(x) = x^2 and g(x) = x + 1, what is f(g(x))?

Hint: For every x in f(x) put in g(x)

Page 4

Question 16 16. Test the following graph for symmetry about the origin:

Question 17 17.

Test the following equation for symmetry:

y= x^2 +6

Question 18 18. What is the range of f(g(x)) if f(x) = |x| and g(x) = cos(x)?

Question 19 19. What is the domain of the function below?

Question 20 20. Find the FALSE statement.

Page 5

Question 21 21. What is the domain of f(x) = 1 / x?

Question 22 22. How do you define symmetry?

Question 23 23.

Find the inverse function of:

y = 1/x

Question 24 24.

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

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

Question 25 25. Which of the following statements is true?

Page 6

Question 26 26. On the graph of an even function, _____.

Question 27 27. Find the inverse function of f(x) = 1?

Question 28 28.

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

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

Question 29 29. Explain why the expression x = 2 is NOT a function:

Question 30 30. What is the range of the function f(x) = x^2?

NMTA Math: 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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