
Directions: The following questions pertain to graphs of rational functions.
Do not use your graphing calculator, unless instructed to do so.
1. 
At what xvalue location(s) would you find vertical asymptotes for the function ? 


2. 
Given the function :

a) What is the xintercept of this graph?
Choose:

b) What is the equation of the vertical asymptote?
Choose:


3. 
Given the graph shown at the right in a 10 x10 viewing window. Which of the following equations could have possibly been used to produce this graph?
(Do not use your graphing calculator!) 

Choose:


4. 
Which of the following functions has x = 0 as a vertical asymptote?
(Do not use your graphing calculator!)



5. 
The characteristics of the following function are that its zeros are at x = 1 and x = 3 and its vertical asymptote is at x = 0.




6. 
Which of these functions has no vertical asymptotes?
(Check this one out on your graphing calculator.)



7. 
Given the graph of shown at the right. Which of the following statements describes the behavior of the graph as x approaches positive infinity? 



8. 
Find the xintercept for the function:
(Do not use your graphing calculator!)




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