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# Graphing and Functions 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!

### Page 1

#### Question 1 1. What are the vertical asymptotes of the following function?

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

#### Question 3 3. 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 4 4. What is the inverse of f(x) = e^x?

#### Question 5 5. Find x if 4x = 2^4.

### Page 2

#### Question 6 6. Which of the following is a point on the function y = 3x - 2?

####
Question 7
7.
Which one of the following equals 2 * 2 * 2 * 2?

I) 2^4

II) 2^2 * 2^2

III) 2^6/2^4

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

#### Question 9 9. Which of the following equals (x^2)/(x^3*x^n)?

#### Question 10 10. What is the range of f(g(x)) if f(x) = |x| and g(x) = cos(x)?

### Page 3

#### Question 11 11. The implicit function x^2=y^2 is graphed below. Which functions give the same graph?

#### Question 12 12. The graph of y = x - 2 will pass through which quadrants?

#### Question 13 13. What is the domain of y = sin (x)?

#### Question 14 14. Evaluate f(x) = √(x), when x = 9.

#### Question 15 15. Expand f(x) = (x+3)^2.

### Page 4

#### Question 16 16. Simplify:

#### Question 17 17. Which equation represents a line that goes through the points (0, 1) and (1, 0)?

#### Question 18 18. The graph of y - x + 10 = - (8 + x) is a _____

#### Question 19 19. The graph of y = x goes through which quadrants?

#### Question 20 20. What is g(f(4)) if g(x) = x+1 and f(x) = √(x)?

### Page 5

#### Question 21 21. Which of the following is a line with a slope of 3 and passes through the point (2, 4)?

#### Question 22 22. Factor the following function.

#### Question 23 23. Find the inverse function of

#### Question 24 24. What is the slope of the equation y +4x = 3?

#### Question 25 25. Which of the following can not be written as y = f(x)?

### Page 6

#### Question 26 26. If f(x) = 2x + 1 and g(x) = x^2, what is f(g(1))?

####
Question 27
27.
If f(x) = x^2 and g(x) = x + 1, what is f(g(x))?

Hint: For every *x* in f(x) put in g(x)

*x*in f(x) put in g(x)

#### Question 28 28. Simplify the following function.

####
Question 29
29.
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 30 30. Factor x^2+4x-5.

#### 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!