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Math Help - Curve Sketching and Asymptotes

  1. #1
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    Curve Sketching and Asymptotes

    Other then looking at the graph.
    How do you determine when you have a horizontal, vertical or slant asymptotes.
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  2. #2
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    Quote Originally Posted by swatpup32 View Post
    Other then looking at the graph.
    How do you determine when you have a horizontal, vertical or slant asymptotes.
    Use what you learned, back in algebra, about asymptotes:

    vertical asymptotes: zeroes of the denominator

    horizontal asymptotes: the x-axis, if the degree of the numerator is less than the degree of the denomintor; "y = a/b" for leading coefficients "a" and "b", if the degrees are the same.

    slant asymptotes: the quotient (ignoring the remainder) of the long division, assuming the numerator's degree is exactly one greater than the denominator's.

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