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Math Help - How do I find a possible formula for this graph?

  1. #1
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    How do I find a possible formula for this graph?

    http://img15.mediafire.com/e4321e78c...d87301fd6g.jpg

    x=-2 and x= 1 are the zeroes of the graph, so (x+2) and (x-1) are factors of the numerator. x=-3 and x=4 are vertical asymptotes of the graph, so (x+3) and (x-4) are factors of the denominator. y=3 is a horizontal asymptote, so we know the top and bottom of the equation have the same degree.
    I know the equation takes on this form [ 3*(x+2)*(x-1) ] / [ (x+3)*(x-4) ]
    I just don't know to what power each of the factors is raised to like (x+2)^a
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  2. #2
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    Help

    the function hits the x axis and bounces up at x=1, so (x-1) has the behavior of an even factor there.
    the function goes through the x axis at x=-2, so (x+2) has the behavior of an odd factor.
    I'm not sure about the rest
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  3. #3
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    Look for a function in the form of

    \displaystyle y = \frac{f(x)}{(x+3)(x-4)}+3
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