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Graphing with Functions in Trigonometry: Help and Review 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. Factor x^2+4x-5.

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

Question 3 3. 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.)

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

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

Page 2

Question 6 6. What is the slope of the line given by the equation y + 3x = 2?

Question 7 7. What are the vertical asymptotes for the equation y = 1/(x*(x-5))?

Question 8 8.

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

I) 2^4

II) 2^2 * 2^2

III) 2^6/2^4

Question 9 9. What does a^b equal if a = 4 and b = 3?

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

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Question 11 11. Which of the following is a point on the function y = 3x - 2?

Question 12 12. The implicit function x^2=y^2 is graphed below. Which functions give the same graph?

Question 13 13. What are the horizontal asymptote(s) for the equation y = 1/(x^2-4)?

Question 14 14. Which of the following equals (x^2)/(x^3*x^n)?

Question 15 15. Which of the following is an implicit function?

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

Question 17 17. Which of the following graphs MOST likely represents the equation y = 5.2x-2?

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

Question 19 19. The graph of y - x + 10 = - (8 + x) is a _____

Question 20 20. 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)?

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Question 21 21.

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

Question 23 23. What are the asymptotes for this equation?

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

Question 27 27. What are the horizontal asymptote(s) for the equation y = x^2 + 1?

Question 28 28. If the following graph is an implicit function, then how many real functions would it take to graph it?

Question 29 29.

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

Graphing with Functions in Trigonometry: Help and Review 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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