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October 14th, 2009, 09:19 PM   #1
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Rational Function

vertical asymptotes: x = ?1 and x = 2
horizontal asymptote: y = 3
x-intercept: (3, 0)

I need to find a rational function that supports this.

so far I have the denominator set to (x+1)(x-2) but I CAAAAANT figure out the numerator for the life of me. someone help me please!
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October 15th, 2009, 04:52 AM   #2
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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
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October 15th, 2009, 03:02 PM   #3
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If (3, 0) is to be the only x-intercept, use instead, which clearly works.
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