Algebra II - Graphing and Functions: 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!

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Question 1 1. Consider the slope of the lines given by the following functions. Which function has the steepest slope?

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

Question 3 3. Simplify:

Question 4 4. What is f(2) if f(g(3)) = 1 and g(x) = x-1?

Question 5 5. Solve the following equation for y = f(x).

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Question 6 6. For a function f(x), what is f-1 (3*f(x))?

Question 7 7. Factor the quadratic x^2-4.

Question 8 8.

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

Question 10 10. What is g(f(x)) if f(x) = g-1 (x)?

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Question 11 11. What is f(g(2)) if g(x) = x^2 and f(x) = x^3?

Question 12 12. What is the inverse function of f(x) = x/8 + x + 2?

Question 13 13. If the following graph is an implicit function, then how many real functions would it take to graph it?

Question 14 14. If the half life of carbon-14 is 5730 years, and you have a sample that has lost 80% of its carbon-14, how old is the sample?

Question 15 15. What are the horizontal asymptote(s) for the equation y = x^2 + 1?

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Question 16 16. The graph of y - x + 10 = - (8 + x) is a _____

Question 17 17. The graph of y = (1 + x)^2 will lie in which quadrants?

Question 18 18.

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

Question 20 20. Simplify: ln(a*4*e/b).

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Question 21 21. Find the inverse function of f(x) = 1?

Question 22 22. Which of the following equations represents a line that passes through the point (0, 1) and has a slope of -4?

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

Question 24 24. What is the range of f(g(x)) if f(x) = |x| and g(x) = cos(x)?

Question 25 25. What is the slope of the line given by the equation y + 3x = 2?

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Question 26 26. How many functions y=f(x) are needed to represent the graph below?

Question 27 27. 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 28 28. Find a * b if a = 2^6 and b = 2^8.

Question 29 29. What are the vertical asymptotes for the equation y = 1/(x*(x-5))?

Question 30 30. Which equation represents a line that goes through the points (0, 1) and (1, 0)?

Algebra II - Graphing and Functions: 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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