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Overview of Rational & Radical 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. What helps define the domain of a rational function?

Question 2 2. What can we declare if a horizontal asymptote appears in the graph of a rational function?

Question 3 3. What is the definition of a rational function?

Question 4 4. A slant asymptote occurs under which of these conditions?

Question 5 5. In this rational function, what is the location of a horizontal asymptote?

Page 2

Question 6 6. Solve the following equation: 2 + √c = 27.

Question 7 7. Solve the following equation:

Question 8 8. Solve the following equation: √(x-2) = 4.

Question 9 9. Solve the following equation: √(2x) = 1.

Question 10 10. Solve the following equation: √x = 3.

Page 3

Question 11 11. Which equation matches the following graph?

Question 12 12. The set of all of the x values of a function, is called the _____.

Question 13 13. Which equation matches the following graph?

Question 14 14. Which equation matches the following graph?

Question 15 15. All radical functions contain a(n) _____.

Page 4

Question 16 16. Find all vertical asymptotes for the following function:

Question 17 17.

How many vertical asymptotes does the following function have?

R(x) = ((x - 1)(x + 1)) / ((x + 2)(x - 3)(x + 4))

Question 18 18. Find all vertical asymptotes for the following function:

Question 19 19. Which of the following is NOT a rational function?

Question 20 20. Which of the following is NOT a rational function?

Page 5

Question 21 21. What is a rational function?

Question 22 22.

Which of the following is important to remember?

A. Write out each step.

B. Test all solutions.

C. Set denominator equal to 0.

Question 23 23. What are the intervals of this inequality?

Question 24 24. Which interval(s) offers a solution?

Question 25 25.

Solve.

x/3 = 2

Page 6

Question 26 26. Solve for x.

Question 27 27. Solve for x.

Question 28 28. Solve for x.

Question 29 29. Solve the rational equation.

Question 30 30. Solve the following rational equation.

Overview of Rational & Radical 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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