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Math Help - help finding equation for this asymtope

  1. #1
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    help finding equation for this asymtope

    I need to know how to start looking for an equation that has the following asymtope

    verticala asymtope x=3 and x=-8
    horizontal asymtope y = -3
    no oblique
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by rj2001 View Post
    I need to know how to start looking for an equation that has the following asymtope

    verticala asymtope x=3 and x=-8
    horizontal asymtope y = -3
    no oblique

    You're going to need a denominator of your rational function to have factors of (x-3)(x+8) to get your vertical asymptotes.

    And to get horizontal asymptote of y=-3, make the highest power of x in the numerator and denominator the same (in this case 2) and the coefficient in the numerator should be -3.

    So, you get:

    f(x)=\frac{-3x^2}{x^2+5x-24}
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