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HiSET Mathematics: 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. Test the following equation for symmetry about the origin:

Question 2 2. When the graph of f(x - 1) + 3 is changed into the graph of f(x + 1) + 3, the graph will shift in which direction?

Question 3 3.

Test the following points for symmetry about the origin:

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

Question 4 4. What is the inverse function of f(x) = x/8 + x + 2?

Question 5 5.

Test the following equation for symmetry:

y= x^2 +6

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Question 6 6. Which kind of transformation would change the purple function below into the yellow one?

Question 7 7. Explain why the expression x = 2 is NOT a function:

Question 8 8. What is the range of the function: g(x) = |x| + 1

Question 9 9. What is the inverse function of f(x) = 3(x - 2)3?

Question 10 10.

Test the following points for symmetry:

(3,4) (3,5) (3,6) (4,8) (3,-4) (3, -5) (3, -6) (4,-8)

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Question 11 11. The vertical line test helps to show

Question 12 12. What is the range of the function f(x) = x^2?

Question 13 13. Which kind of transformation stretches or shrinks the graph of the function?

Question 14 14. What is g(f(x)) if f(x) = g-1 (x)?

Question 15 15. Which of the following is a function?

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Question 16 16. Which one of these functions has a domain of all real numbers?

Question 17 17.

Find the inverse function of:

y = 1/x

Question 18 18. How do you determine whether a function is an inverse of another function?

Question 19 19. If the graph of f(x) is shown below, which choice represents the graph of f(x + 1) + 2?

Question 20 20. Write the composite function f(g(x)) when f(x) = x^2 + x + 1 and g(x) = x + 1.

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

Question 23 23.

Evaluate the function for the given inputs:

f(x) = -x - 1

Domain = {0, 1, 2}

Question 24 24. What is f(2) if f(g(3)) = 1 and g(x) = x-1?

Question 25 25. Write the algebraic expression y = -2x + 6 using function notation

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Question 26 26. Which function would NOT pass the horizontal line test?

Question 27 27. Which of the following is the inverse function of f(x) = 3x?

Question 28 28. Which function produces an output of 5 for an input of -6?

Question 29 29. If f(x) = x and g(x) = 1 / x, what is the domain of f(g(x))?

Question 30 30. If f(x) = 5 - 2x and g(x) = -4x + 2, find g(f(x)).

HiSET Mathematics: 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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