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How to Graph 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. What are the horizontal asymptote(s) for the equation y = 1/(x^2-4)?

Question 2 2. The implicit function x^2=y^2 is graphed below. Which functions give the same graph?

Question 3 3. Find a * b if a = 2^6 and b = 2^8.

Question 4 4. Simplify the following expression.

Question 5 5. The graph of y - x + 10 = - (8 + x) is a _____

Page 2

Question 6 6. What does a^b equal if a = 4 and b = 3?

Question 7 7. What is g(f(x)) if f(x) = g-1 (x)?

Question 8 8. What is f(2) if f(g(3)) = 1 and g(x) = x-1?

Question 9 9. What is g(f(4)) if g(x) = x+1 and f(x) = √(x)?

Question 10 10.

Which of the following equations have a vertical asymptote at x = 1?

I) y = 5/(x-5)

II) y = 1/(x^2-1)

III) y = 1/(x-1) * 1/(x-2)

Page 3

Question 11 11. Which of the following is an implicit function?

Question 12 12. Expand f(x) = (x+3)^2.

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

Question 14 14. What are the horizontal asymptote(s) for the equation y = x^2 + 1?

Question 15 15. What are the vertical asymptotes for the equation y = 1/(x*(x-5))?

Page 4

Question 16 16. What is the range of f(g(x)) if f(x) = |x| and g(x) = cos(x)?

Question 17 17. Factor x^2+4x-5.

Question 18 18. How many functions y=f(x) are needed to represent the graph below?

Question 19 19. What are the asymptotes for this equation?

Question 20 20. Which of the following is a point on the function y = 3x - 2?

Page 5

Question 21 21. Find x if 4x = 2^4.

Question 22 22. Which of the following can not be written as y = f(x)?

Question 23 23. Find f(x) if f-1 (x) = x3 + 2

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

Question 25 25. 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.)

Page 6

Question 26 26. What is the inverse function of f(x) = x/8 + x + 2?

Question 27 27. What is f(g(2)) if g(x) = x^2 and f(x) = x^3?

Question 28 28. Simplify:

Question 29 29. Which of the following equals (x^2)/(x^3*x^n)?

Question 30 30.

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)

How to Graph 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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