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GRE Quantitative Reasoning - Functions: 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. Which of the following is the inverse function of f(x) = 3x?

Question 2 2. The graph of y = x - 2 will pass through which quadrants?

Question 3 3. Find the domain of f(x)/g(x), if:

Question 4 4.

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

f(x) = 2x and

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

Question 5 5. Which of the following makes an equation a relation rather than a function?

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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. Expand f(x) = (x+3)^2.

Question 8 8. Recalling function notation, we want x to be w. Therefore, if f(x) = (3x + 5) / 2, find f(w).

Question 9 9. Which set of ordered pairs is NOT a function?

Question 10 10. Which function would NOT pass the horizontal line test?

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

Question 12 12.

Which of the following are polynomials?

I) f(x) = x^4+x

II) f(x) = x^2+x*sin(x)

III) f(x) = x+2*sin(2)

Question 13 13.

Find the inverse of the following function:

f(x) = 2x + 1

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. The graph of y - x + 10 = - (8 + x) is a _____

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Question 16 16. Evaluate h(x) = 5x + 1, when x=3.

Question 17 17.

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

Question 19 19. If f(x) = 5 + 3x and g(x) = 5 - 9x, find f(g(2)).

Question 20 20. Which of the following is written in function notation?

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Question 21 21. Factor the quadratic x^2-4.

Question 22 22.

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

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

Question 23 23. Find a * b if a = 2^6 and b = 2^8.

Question 24 24. Find the inverse function of f(x) = 1?

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

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Question 26 26. What does a^b equal if a = 4 and b = 3?

Question 27 27. What is the range of the function: g(x) = |x| + 1

Question 28 28. For a function f(x), what is f-1 (3*f(x))?

Question 29 29. What is the domain of √(x)?

Question 30 30. Find the FALSE statement.

GRE Quantitative Reasoning - Functions: 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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