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?
mc001-1.jpg
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.
mc002-1.jpg
a.
y = -4
c.
mc002-2.jpg
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 mr003-1.jpg.
 a.
x = 0
 d.
mr003-3.jpg
 b.
mr003-2.jpg
 e.
y = 0
 c.
x = 3
 f.
y = 4
 

 4 

Identify the equation of the horizontal asymptote of mr004-1.jpg.
 a.
x = 0
 d.
mr004-3.jpg
 b.
mr004-2.jpg
 e.
y = 0
 c.
x = 3
 f.
y = 4
 

 5 

Identify the equation of the vertical asymptote of mr005-1.jpg.
 a.
x = 0
 d.
mr005-3.jpg
 b.
mr005-2.jpg
 e.
y = 0
 c.
x = 3
 f.
y = 4
 

 6 

Select the function(s) that have an asymptote at x = 3.
 a.
mr006-1.jpg
 c.
mr006-3.jpg
 b.
mr006-2.jpg
 d.
mr006-4.jpg
 

Short Answer
 

 7 

Given the function sa007-1.jpg, what are the horizontal and vertical asymptotes of f(x)?
 

 8 

Given the function sa008-1.jpg, what is the vertical asymptote of f(x)?
 

 9 

Given the function sa009-1.jpg, what are the asymptotes of f(x)?
 

 10 

Given the function sa010-1.jpg, what are the horizontal and vertical asymptotes of f(x)?
 

 11 

Determine all the asymptotes for sa011-1.jpg.
 

 12 

Determine all asymptotes for sa012-1.jpg.
 

 13 

Determine all asymptotes for sa013-1.jpg
 



 
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