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4.1 Prep Assignment for Graphs of Rational Functions

 
  1.  Complete the following chart.

 

     X

-10

-5

-2

-1

 

 

0

 

 

1

2

5

10

a)  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

b)  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

c)  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

d)  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  1. Complete the following chart:

 

 

As ,

 

 

As ,

 

 

As  (as x gets

close to 0 from the

positive numbers),

 

As  (as x gets close to 0 from the negative numbers),

 

a)  

 

 

 

 

 

b)  

 

 

 

 

 

c)  

 

 

 

 

 

d)  

 

 

 

 

 

 

 

 
  1. Now graph each of the above functions, each on a separate graph.  What do you notice about the graphs as , as , as , as ?

 

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