Graphing with Functions in Trigonometry: 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. What are the horizontal asymptote(s) for the equation y = 1/(x^2-4)?

Question 2 2. Which of the following equations has a slope equal to -1/4?

Question 3 3. Which of the following graphs MOST likely represents the equation y = 5.2x-2?

Question 4 4. 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 5 5. Which of the following can not be written as y = f(x)?

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Question 6 6. Find x if 4x = 2^4.

Question 7 7. Factor x^2+4x-5.

Question 8 8. Which of the following equals (x^2)/(x^3*x^n)?

Question 9 9. What are the horizontal asymptote(s) for the equation y = x^2 + 1?

Question 10 10.

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)

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Question 11 11. What does a^b equal if a = 4 and b = 3?

Question 12 12. Consider the slope of the lines given by the following functions. Which function has the steepest slope?

Question 13 13. 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 14 14. The implicit function x^2=y^2 is graphed below. Which functions give the same graph?

Question 15 15. The graph of y = x - 2 will pass through which quadrants?

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Question 16 16. If the following graph is an implicit function, then how many real functions would it take to graph it?

Question 17 17. Factor the quadratic x^2-4.

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

Question 19 19. Which of the following is an implicit function?

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

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Question 21 21. What are the vertical asymptotes for the equation y = 1/(x*(x-5))?

Question 22 22.

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

I) 2^4

II) 2^2 * 2^2

III) 2^6/2^4

Question 23 23. The plot of x - y = 10 is the same as the plot of:

Question 24 24.

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 25 25. What are the asymptotes for this equation?

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Question 26 26. Find a * b if a = 2^6 and b = 2^8.

Question 27 27. The graph of y = (1 + x)^2 will lie in which quadrants?

Question 28 28. What is the slope of the line given by the equation y + 3x = 2?

Question 29 29. The graph of y - x + 10 = - (8 + x) is a _____

Question 30 30. Expand f(x) = (x+3)^2.

Graphing with Functions in Trigonometry: 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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