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  3. consider the following function.f(x) = (x-8)e^x(a)

Consider the following function.f(x) = (x-8)e^x(a) Find the critical numbers of f. (Enter your answers...

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Consider the following function.f(x) = (x-8)e^x(a) Find the critical numbers of f. (Enter your answers as a comma-separated list.)(b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)(c) Apply the First Derivative Test to identify all relative extrema. (If an answer does not exist, enter DNE.)

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