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Math Help - asymptotes

  1. #1
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    Exclamation asymptotes

    f(x)= (1-4x^3)/(3+2x-x^2)

    Identify all the horizontal, vertical, and oblique asymptotes for the graph of the function.
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  2. #2
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    Quote Originally Posted by math123456 View Post
    f(x)= (1-4x^3)/(3+2x-x^2)

    Identify all the horizontal, vertical, and oblique asymptotes for the graph of the function.
    Vertical asymptotes: Vertical lines passing through the values of x that satisfy 3 + 2x - x^2 = 0.

    Horizontal asymptote: None.

    Oblique asymptote: Do the polynomial long division and express the function in the form f(x) = ax + b + \frac{cx + d}{3 + 2x - x^2}. The oblique asymptote is y = ax + b.
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