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4.1 Graphs of Simple Rational Functions  Homework Exercises

 

Characterize the graph of each of the following by naming

a)    the domain

b)   the end behavior:  As  and as  

c)    the asymptotes

d)   the intercepts

 

Use this information to sketch the graph by hand , finding at least one additional point on either side of the vertical asymptote.  Then name

 

e)    the range and

f)    the interval(s) over which the function is increasing and/or decreasing. 

 

Use your graphing calculator as a check only.

 

 

 

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29.  For what values of x is ?

30.  For what values of x is ?

 

 

31.  For what values of x is ?

32.  For what values of x is ?

 

 

33.  For what values of x is ?

34. For what values of x is ?

 

 

35. For what values of x is ?

36. For what values of x is ?

 

ANSWERS TO ODD NUMBERED PROBLEMS

 

 

 

 

 

 

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