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October 14th, 2009, 10:19 PM  #1 
Newbie Joined: Sep 2009 Posts: 3 Thanks: 0  Rational Function
vertical asymptotes: x = ?1 and x = 2 horizontal asymptote: y = 3 xintercept: (3, 0) I need to find a rational function that supports this. so far I have the denominator set to (x+1)(x2) but I CAAAAANT figure out the numerator for the life of me. someone help me please! 
October 15th, 2009, 05:52 AM  #2 
Senior Member Joined: May 2008 From: York, UK Posts: 1,300 Thanks: 0 
Hint: try to find a solution in the form Then since the denominator of the fraction goes like and the numerator goes like , you will have as You just need to find the value of that will give you 
October 15th, 2009, 04:02 PM  #3 
Global Moderator Joined: Dec 2006 Posts: 18,235 Thanks: 1437 
If (3, 0) is to be the only xintercept, use instead, which clearly works.


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function, rational 
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