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Math Help - How do you graph the rational function y= x-4/(x^2+2)

  1. #1
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    How do you graph the rational function y= x-4/(x^2+2)

    y = x-4/(x^2+2)
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  2. #2
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    for the graph of

    y = \frac{x-4}{x^2+2}

    for horizontal asymptote, divide numerator and denominator with highest power (x^2) and take x\rightarrow \infty

    horizontal asymptote is x-axis (equation of x-axis is y=0)

    there is no vertical asymptote.

    as\;\; x \rightarrow \infty, \;\;y \rightarrow 0

    as\;\; x \rightarrow -\infty, \;\;y \rightarrow 0

    also, points (0, -2) and (4,0) lie on the graph.

    Please see graph
    Attached Thumbnails Attached Thumbnails How do you graph the rational function y= x-4/(x^2+2)-graph6.jpg  
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