Rational Functions in Trigonometry: Tutoring Solution 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 is the horizontal asymptote of this rational function?

(4x - 2)/(8x - 1)

Question 2 2. A rational function is what?

Question 3 3. How many vertical asymptotes are there?

Question 4 4. Find the difference quotient for the function f(x) = x2.

Question 5 5.

Solve.

x/3 = 2

Page 2

Question 6 6. What is a rational function?

Question 7 7. What are the two points used in the difference quotient?

Question 8 8. Which interval(s) offers a solution?

Question 9 9. What is the horizontal asymptote of this rational function?

Question 10 10.

What are the vertical asymptotes in this rational function?

1/((x - 4)(x + 2))

Page 3

Question 11 11. Write a rational function with vertical asymptotes of x = 2 and x = -1 and a horizontal asymptote of y = 0.

Question 12 12.

What is the horizontal asymptote of this rational function?

8x/4x^2

Question 13 13. What is the horizontal asymptote of this rational function?

Question 14 14.

Which of the following is important to remember?

A. Write out each step.

B. Test all solutions.

C. Set denominator equal to 0.

Question 15 15. What is the geometric interpretation of the difference quotient?

Page 4

Question 16 16. What are the intervals of this inequality?

Question 17 17. Write a rational function with a vertical asymptote of 4 and a horizontal asymptote of 3.

Question 18 18. What are the vertical asymptotes of this rational function?

Question 19 19. Find the difference quotient for the function f(x) = x.

Question 20 20. Find the difference quotient for the function f(x) = x2 - 2.

Rational Functions in Trigonometry: Tutoring Solution 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!

High School Trigonometry: Tutoring Solution  /  Math Courses
Support