# Graphing with Functions: Homework Help Chapter Exam

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

#### Question 2 2. What does a^b equal if a = 4 and b = 3?

#### Question 3 3. How many functions y=f(x) are needed to represent the graph below?

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

#### Question 5 5. The implicit function x^2=y^2 is graphed below. Which functions give the same graph?

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#### Question 6 6. Which of the following graphs MOST likely represents the equation y = 5.2x-2?

#### Question 7 7. 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 8 8. Which of the following is a point on the function y = 3x - 2?

#### Question 9 9. Factor x^2+4x-5.

#### Question 10 10. Which of the following equals (x^2)/(x^3*x^n)?

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#### Question 11 11. Factor the quadratic x^2-4.

#### Question 12 12. 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 13 13. What are the horizontal asymptote(s) for the equation y = x^2 + 1?

#### Question 14 14. What are the vertical asymptotes for the equation y = 1/(x*(x-5))?

#### Question 15 15. The graph of y - x + 10 = - (8 + x) is a _____

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#### Question 16 16. Consider the slope of the lines given by the following functions. Which function has the steepest slope?

#### Question 17 17. Find x if 4x = 2^4.

#### Question 18 18. The plot of x - y = 10 is the same as the plot of:

#### Question 19 19. Expand f(x) = (x+3)^2.

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Question 20
20.
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 21 21. The graph of y = (1 + x)^2 will lie in which quadrants?

#### Question 22 22. What is the slope of the line given by the equation y + 3x = 2?

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Question 23
23.
Which one of the following equals 2 * 2 * 2 * 2?

I) 2^4

II) 2^2 * 2^2

III) 2^6/2^4

#### Question 24 24. Find a * b if a = 2^6 and b = 2^8.

#### Question 25 25. What are the asymptotes for this equation?

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#### Question 26 26. The graph of y = x - 2 will pass through which quadrants?

#### Question 27 27. Which of the following is an implicit function?

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

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Question 29
29.
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 30 30. Which of the following can not be written as y = f(x)?

#### Graphing with Functions: Homework Help 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!