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Math Help - hellpp!! please!!

  1. #1
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    hellpp!! please!!

    ok i need help on find aymptotes
    2.) find the slant asymptote of the curve. This, use it to help graph the curve.

    so i have a equation like this
    Y= x^2 + 9 / x
    y= x^2 - 2x - 1/x
    y= x^3/x2-1

    can u help and teach me what to do , cause my teacher told us to use long division to find the slant asympototes.
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by lickman View Post
    ok i need help on find aymptotes
    2.) find the slant asymptote of the curve. This, use it to help graph the curve.

    so i have a equation like this
    Y= x^2 + 9 / x
    y= x^2 - 2x - 1/x
    y= x^3/x2-1

    can u help and teach me what to do , cause my teacher told us to use long division to find the slant asympototes.
    y=\frac{x^2+9}{x}

    Divide the numerator by the denominator and exclude the remainder.

    You have a slant asymptote at y=x
    You also have a vertical asymptote at x=0 since the denominator cannot be 0.
    -------------------------------------------------------------------
    y=\frac{x^2-2x-1}{x}

    Divide the numerator by the denominator and exclude the remainder.

    You have a slant asymptote at y=x-2
    You also have a vertical asymptote at x=0 since the denominator cannot be 0.
    -------------------------------------------------------------------
    y=\frac{x^3}{x^2-1}

    Divide the numerator by the denominator and exclude the remainder.

    You have a slant asymptote at y=x
    You also have 2 vertical asymptotes at x=1 \ \ and \ \ x=-1 since the denominator cannot be 0.
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  3. #3
    A riddle wrapped in an enigma
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    Quote Originally Posted by lickman View Post
    can u help and teach me what to do , cause my teacher told us to use long division to find the slant asympototes.
    To help you with slant asymptotes and polynomial long division, you might look here: Slant, or Oblique, Asymptotes
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  4. #4
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    i kinda get what u say by dividing but can u clearify how u got the slant aysmtopes? cause u told me to divide, and then u get the slant aysmotopes as the quotient. but how do u divide such number of these x^2 -2x - 1 / x
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