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Graphing Functions Overview 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 is g(f(4)) if g(x) = x+1 and f(x) = √(x)?

Question 2 2. Find the slope of this line: 6x + 7y = 21

Question 3 3. If the following graph is an implicit function, then how many real functions would it take to graph it?

Question 4 4. What is the inverse function of f(x) = x/8 + x + 2?

Question 5 5.

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

I) 2^4

II) 2^2 * 2^2

III) 2^6/2^4

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Question 6 6. Which of the following equations has a slope equal to -1/4?

Question 7 7. Simplify: ln(a*4*e/b).

Question 8 8. Find the x-intercept of this line: y = 7x + 21

Question 9 9.

What is the slope of the line represented by the following formula?

y = 2 + 6(x - 3)

Question 10 10. 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 11 11. Horizontal lines have a slope that is _____.

Question 12 12. Find the x-intercept of this line: 5x + 3y = 30

Question 13 13. What is the slope of a line passing through (-3, 4) and (2, -2)?

Question 14 14. What is f(g(2)) if g(x) = x^2 and f(x) = x^3?

Question 15 15. The equation for the following graph could be _____.

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Question 16 16. The implicit function x^2=y^2 is graphed below. Which functions give the same graph?

Question 17 17. What is f(2) if f(g(3)) = 1 and g(x) = x-1?

Question 18 18. What are the horizontal asymptote(s) for the equation y = x^2 + 1?

Question 19 19. Find x if 4x = 2^4.

Question 20 20. Find the x-intercept of this line: 12x - 6y = 24

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Question 21 21. Find f(x) if f-1 (x) = x3 + 2

Question 22 22.

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

Question 24 24. What is the slope of a line passing through (2, 2) and (3, 5)?

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.)

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Question 26 26. What are the horizontal asymptote(s) for the equation y = 1/(x^2-4)?

Question 27 27. If f(g(x)) = x^6 and g(x) = x^3, what is f(x)?

Question 28 28. Which equation represents a line that goes through the points (0, 1) and (1, 0)?

Question 29 29. Find the slope of this line: 4y - x = 0

Question 30 30. Which of the following equations represents a line that passes through the point (0, 1) and has a slope of -4?

Graphing Functions Overview 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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