Question: Sketch the graph of the function y = f(x) = x(e^-x). Make sure to determine and label all intercepts, asymptotes, critical points, local maxima/minima and

Sketch the graph of the function y = f(x) = x(e^-x). Make sure to determine and label all intercepts, asymptotes, critical points, local maxima/minima and inflection points, if they exist. Also determine the intervals on which f(x) is increasing/decreasing and concave up/down.

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