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6. (15pts) Graph a single function f satisfying all of the following conditions. Indicate all intervals of increase and decrease, intervals where f is concave up/down, and the x-coordinates of

any local maxima/minima and inflection points. Also give equations of asymptotes and label them. \text { - } f^{\prime}(x)=-e^{x} x^{2}(x+2) \text { - } f^{\prime \prime}(x)=-e^{x} x(x+1)(x+4) \text { - } f(0)=0 \text { - } f(-2)=4 \text { - } \lim _{x \rightarrow-\infty} f(x)=-1 \text { - } \lim _{x \rightarrow \infty} f(x)=-\infty

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