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MathLog#4

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Create a (simplified) rational function that has the following asymptotes.(show work) y=0, x=-3, x=0, and x=2

  • MathLog#4 - ,

    Hmmmm. f(x)= e^-x * 1/[(x+3)(x)(x-2)]

  • MathLog#4 - ,

    I think rational functions are ratios of polynomials, so forget the e^-x and just use

    1/[(x+3)(x)(x-2)]

    or, the numerator could be any polynomial of degree less than 3. It will still approach y=0 as x gets large.

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