Name:    AII.7e - Finding Asymptotes of Functions

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1

What are the asymptotes for the function shown?
 a. x = 6, x = -2, and y = 0 c. x = 6 and x = -2 b. x = -6, x = 2, and y = 0 d. x = -2 and y = 0

2

Name the horizontal asymptote of the function shown.
 a. y = -4 c. b. y = -2 d. y = 0

Multiple Response
Identify one or more choices that best complete the statement or answer the question.

3

Identify the equation of the horizontal asymptote and the equation of the vertical asymptote of .
 a. x = 0 d. b. e. y = 0 c. x = 3 f. y = 4

4

Identify the equation of the horizontal asymptote of .
 a. x = 0 d. b. e. y = 0 c. x = 3 f. y = 4

5

Identify the equation of the vertical asymptote of .
 a. x = 0 d. b. e. y = 0 c. x = 3 f. y = 4

6

Select the function(s) that have an asymptote at x = 3.
 a. c. b. d.

7

Given the function , what are the horizontal and vertical asymptotes of f(x)?

8

Given the function , what is the vertical asymptote of f(x)?

9

Given the function , what are the asymptotes of f(x)?

10

Given the function , what are the horizontal and vertical asymptotes of f(x)?

11

Determine all the asymptotes for .

12

Determine all asymptotes for .

13

Determine all asymptotes for