Algebra II: Graphing and 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. Find x if 4x = 2^4.

Question 2 2. What are the asymptotes for this equation?

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

Question 4 4. Simplify:

Question 5 5. What is g(f(x)) if f(x) = g-1 (x)?

Page 2

Question 6 6. What is the point-slope form of the equation that goes through the origin and has a slope of 1.5?

Question 7 7. Which equation represents a line that goes through the points (0, 1) and (1, 0)?

Question 8 8. Which of the following graphs MOST likely represents the equation y = 5.2x-2?

Question 9 9. What is the slope of the line given by the equation y + 3x = 2?

Question 10 10. Simplify the following expression.

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Question 11 11. Which of the following equations represents a line that passes through the point (0, 1) and has a slope of -4?

Question 12 12. Which of the following can not be written as y = f(x)?

Question 13 13. How many functions y=f(x) are needed to represent the graph below?

Question 14 14.

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

I) 2^4

II) 2^2 * 2^2

III) 2^6/2^4

Question 15 15. Find f(x) if f-1 (x) = x3 + 2

Page 4

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

Question 17 17.

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

Question 19 19. The graph of y = x - 2 will pass through which quadrants?

Question 20 20.

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

y = 2 + 6(x - 3)

Page 5

Question 21 21. Which of the following equations has a slope equal to -1/4?

Question 22 22. What is f(2) if f(g(3)) = 1 and g(x) = x-1?

Question 23 23. What is the inverse function of f(x) = x/8 + x + 2?

Question 24 24. Which of the following is a point on the function y = 3x - 2?

Question 25 25. Solve the following equation for y = f(x).

Page 6

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

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

Question 28 28. The graph of y - x + 10 = - (8 + x) is a _____

Question 29 29.

Which of the following equations represent(s) a line that goes through the points (2,3) and (1,1)?

I) y = 2(x - 2) + 3

II) y = 2x - 1

III) y = 2(x - 1) + 1

Question 30 30. The implicit function x^2=y^2 is graphed below. Which functions give the same graph?

Algebra II: Graphing and 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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