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

Question 2 2. If the following graph is an implicit function, then how many real functions would it take to graph it?

Question 3 3.

Which one of the following equals 2 * 2 * 2 * 2?

I) 2^4

II) 2^2 * 2^2

III) 2^6/2^4

Question 4 4.

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)

Question 5 5. 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 6 6. The graph of y = x - 2 will pass through which quadrants?

Question 7 7. Consider the slope of the lines given by the following functions. Which function has the steepest slope?

Question 8 8. What does a^b equal if a = 4 and b = 3?

Question 9 9. The graph of y - x + 10 = - (8 + x) is a _____

Question 10 10. Which of the following can not be written as y = f(x)?

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Question 11 11. The plot of x - y = 10 is the same as the plot of:

Question 12 12. What are the horizontal asymptote(s) for the equation y = x^2 + 1?

Question 13 13. The implicit function x^2=y^2 is graphed below. Which functions give the same graph?

Question 14 14. Which of the following is an implicit function?

Question 15 15. Which of the following equations has a slope equal to -1/4?

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Question 16 16. Find a * b if a = 2^6 and b = 2^8.

Question 17 17. What is the slope of the line given by the equation y + 3x = 2?

Question 18 18. Factor x^2+4x-5.

Question 19 19. What are the vertical asymptotes for the equation y = 1/(x*(x-5))?

Question 20 20. What are the horizontal asymptote(s) for the equation y = 1/(x^2-4)?

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Question 21 21. What is the slope of the line tangent to the curve given by the equation y = (x-1)²+2 at the point (1,2)?

Question 22 22. How many functions y=f(x) are needed to represent the graph below?

Question 23 23. Which of the following is a point on the function y = 3x - 2?

Question 24 24. Factor the quadratic x^2-4.

Question 25 25. Expand f(x) = (x+3)^2.

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Question 26 26. The graph of y = (1 + x)^2 will lie in which quadrants?

Question 27 27.

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 28 28. Find x if 4x = 2^4.

Question 29 29. What are the asymptotes for this equation?

Question 30 30. Which of the following graphs MOST likely represents the equation y = 5.2x-2?

Graphing with 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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