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Thread: find: each case the intercepts, domain, range and vertical and horizontal asymptote

  1. #1
    rcs
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    find: each case the intercepts, domain, range and vertical and horizontal asymptote

    Please, can anybody help me on this function: also sketch the graph

    y^2(x^2 -1) = x + 2

    thank you so much
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  2. #2
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    $\displaystyle \displaystyle x$ intercept(s) - make $\displaystyle \displaystyle y = 0$, simplify and solve for $\displaystyle \displaystyle x$.

    $\displaystyle \displaystyle y$ intercept(s) - make $\displaystyle \displaystyle x=0$, simplify and solve for $\displaystyle \displaystyle y$.


    For the asymptotes, write $\displaystyle \displaystyle y$ in terms of $\displaystyle \displaystyle x$ to determine the natural domain. The range and asymptotes should follow.
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