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Math Help - Equation of a horizontal and vertical asymptote

  1. #1
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    Equation of a horizontal and vertical asymptote



    Consider the rational function f(x)= 3x^2 - 12 / x^2 - 3x + 2
    A. Give the equation of the horizontal asymptote.

    B. Give the equation(s) of any vertical asymptotes.
    Thanks
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  2. #2
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    Is this right?
    f(x)= (3x^2 - 12) / (x^2 - 3x + 2)

    horizontal asymptote: y = 3

    Vertical Asymptote: (x^2 - 3x + 2) = 0

    (x - 2)(x - 1) = 0
    x = 2
    x = 1

    Vertical Asymptotes: x = 1, x = 2
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  3. #3
    Junior Member tedii's Avatar
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    Quote Originally Posted by rowdy3 View Post
    Is this right?
    f(x)= (3x^2 - 12) / (x^2 - 3x + 2)

    horizontal asymptote: y = 3

    Vertical Asymptote: (x^2 - 3x + 2) = 0

    (x - 2)(x - 1) = 0
    x = 2
    x = 1

    Vertical Asymptotes: x = 1, x = 2
    Not quite, simplify the numerator too. Something will cancel out and you will have one less vertical asymptote. But you have the general idea behind this.
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