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Math Help - Sketch the graph of the function...

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    Member dokrbb's Avatar
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    Sketch the graph of the function...

    I have to sketch the graph of this function f(x) = (2x)/(x^2 - 4)

    As First derivative I obtained f'(x)= - 2(x^2 + 4)/[(x^2-4)^2] and NO critical numbers are found;

    I evaluated the function and it gives me that f(x) is decreasing from (-INF, -2)U(-2,2)U(2, INF)

    I didn't find any local minima or local maxima for that function

    for the second derivative, it gave me f"(x)=[4x(x^2 + 12)]/[x^2-4]^3

    I obtained (0) as points of inflection, and...

    the graph is CU on (-2, 0)U(2, INF)

    and CD on (-INF, -2)U(0, 2)

    horizontal asymtote is y=0

    vertical asymtotes are x = -2 or x=2

    I Checked something and my graph is correct in this way

    Thanks everybody
    Last edited by dokrbb; April 1st 2013 at 02:12 PM. Reason: Wanted to say that IT IS correct
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