# Graphing and Functions: Help and Review Chapter Exam

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

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

#### Question 3 3. The implicit function x^2=y^2 is graphed below. Which functions give the same graph?

#### Question 4 4. What is the slope of the line given by the equation y + 3x = 2?

#### Question 5 5. If the domain of the function f(x) = x^2 is 0 ≤ x, what is the range of f?

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

#### Question 8 8. Evaluate h(x) = 5x + 1, when x=3.

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Question 9
9.
What are the **horizontal** asymptote(s) for the equation y = 1/(x^2-4)?

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Question 10
10.
Find f(*x*) if f-1 (*x*) = *x*3 + 2

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#### Question 11 11. What is the domain of √(x)?

#### Question 12 12. The graph of y = (1 + x)^2 will lie in which quadrants?

#### Question 13 13. The plot of x - y = 10 is the same as the plot of:

#### Question 14 14. Solve the following equation for y = f(x).

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

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#### Question 16 16. What is f(2) if f(g(3)) = 1 and g(x) = x-1?

#### Question 17 17. Which of the following equals (x^2)/(x^3*x^n)?

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Question 18
18.
What is g(f(*x*)) if f(*x*) = g-1 (*x*)?

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Question 19
19.
Which one of the following equals 2 * 2 * 2 * 2?

I) 2^4

II) 2^2 * 2^2

III) 2^6/2^4

#### Question 20 20. What does a^b equal if a = 4 and b = 3?

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#### Question 21 21. Which of the following equations represents a line that passes through the point (0, 1) and has a slope of -4?

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

#### Question 24 24. Which equation represents a line that goes through the points (0, 1) and (1, 0)?

#### Question 25 25. What are the horizontal asymptote(s) for the equation y = x^2 + 1?

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#### Question 26 26. Which of the following equations has a slope equal to -1/4?

#### Question 27 27. Simplify:

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Question 28
28.
For a function f(*x*), what is f-1 (3*f(*x*))?

#### Question 29 29. Simplify the following expression.

#### Question 30 30. If the following graph is an implicit function, then how many real functions would it take to graph it?

#### 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!