# GRE Math: Study Guide & Test Prep Final Exam

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#### Question 1 1. Which set of ordered pairs is NOT a function?

#### Question 2 2. Use factoring to find a solution of the following equation: 2x^2+8x = x^2+2x-8. (Remember that if one side of the equation equals zero, and the other side of the equation is a product, then at least one of the parts of the product must equal zero. For example, if 0 = x(3-x), then x must be 0 or (3-x) must be 0.)

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Question 3
3.
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.

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Question 4
4.
Find f(*x*) if f-1 (*x*) = *x*3 + 2

#### Question 5 5. Which of the following is the inverse function of f(x) = 2x - 3?

#### Question 6 6. Which graph below is a function?

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Question 7
7.
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 8 8. Which of the following is the inverse function of f(x) = 3x?

#### Question 9 9. Which of the following statements is true?

#### Question 10 10. Factor the quadratic x^2-4.

#### Question 11 11. The graph of y = x - 2 will pass through which quadrants?

#### Question 12 12. Which of the following is a point on the function y = 3x - 2?

#### Question 13 13. If the domain of the function f(x) = x^2 is 0 ≤ x, what is the range of f?

#### Question 14 14. What notation do you use to show that you have an inverse function?

#### Question 15 15. What is the inverse function of f(x) = 3(x - 2)3?

#### GRE Math: Study Guide & Test Prep Final Free Practice Test Instructions

Choose your answer to the question and click 'Continue' to see how you did. Then click 'Next Question' to answer the next question. When you have completed the free practice test, click 'View Results' to see your results. Good luck!