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Math Help - findng asymptotes

  1. #1
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    findng asymptotes

    for any equation, what is an easy way of finding an asymptote? by the way im only up to a high school level in math ...
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  2. #2
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    Quote Originally Posted by whitestrat View Post
    for any equation, what is an easy way of finding an asymptote? by the way im only up to a high school level in math ...
    To find vertical asymptotes, you must find the zeros of the denominator
    Ex. \frac{3}{x-2}
    x = 2<br />


    To find horizontal asymptotes, compare the degree of the numerator and the degree of the denominator of the rational function:

    1. If the degree is the numerator < degree of the denominator, then the horizontal asymptote is 0

    Ex. \frac{3}{x-2}
    horizontal asymptote = 0

    2. If the degree is the numerator = degree of the denominator, then the horizontal asymptote is:

    \frac{leading.coefficient.of.numerator}{leading.co  efficient.of. denominator}

    ex. \frac{2x-2}{3x+4}
    horizontal asymptote = \frac{2}{3}

    3. If the degree is the numerator > degree of the denominator, then there is no horizontal asymptote

    ex. \frac{2x^2-2}{3x+4}
    There is no horizontal asymptote
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