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Math Help - pre calulus

  1. #1
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    pre calulus

    find in each case the intercepts, domain, range, vertical and horizontal asymptotes,if any.sketch the graph...

    y^2(x^2-1) = x + 2
    Last edited by jpmath2010; December 5th 2010 at 04:53 AM.
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  2. #2
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    \displaystyle y^2(x^2 - 1) = x + 2

    \displaystyle y^2 = \frac{x+2}{x^2-1}

    \displaystyle y = \pm \sqrt{\frac{x+2}{x^2-1}}.


    To find the \displaystyle x intercepts, let \displaystyle y=0 and solve for \displaystyle x.

    To find the \displaystyle y intercepts, let \displaystyle x=0 and solve for \displaystyle y.

    To find the domain: what values can \displaystyle x not take?

    To find the range: what values can \displaystyle y not take?

    To find the asymptotes: analyse the behaviour of the graph near these points that \displaystyle x and \displaystyle y can not take.
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