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    The function is

    f(x) = 5x^2 / (x^2 + 2)

    I need to find the x and y intercepts

    all asymptotes and inflection points.

    I know only how to do this if I have a closed interval

    if you could walk me through this step by step use the
    critical number and
    f'(x) and f''(x) graph

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    https://brainmass.com/math/calculus-and-analysis/graphing-functions-inflection-points-55666

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    Mathematics, Calculus - Graphing
    ________________________________________

    The function is f (x) = 5x 2 / (x 2 + 2) . Find x and y intercepts , asymptotes and inflection pts.

    I know only how to do this if I have a closed interval. Could you walk me through this step by step use the critical number and f '(x) and f ''(x) graph . Please help me thank you !

    Solution : Let's go with step by step procedure : y = 5x 2 / (x 2 + 2)

    Step (i) : Finding x - intercept and y - intercept.

    Consider our function : y = 5x 2 / (x 2 + 2) which could be rewritten as :

    y = =

    y - intercept is the point on the curve , where the curve cuts the y - axis.
    For at y - axis , x = 0 makes : y = 0
    So y - ...

    Solution Summary

    This solution is comprised of a detailed explanation to find the x and y intercepts.

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