Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not...

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analyze and sketch the graph of the function

Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) f(x) = e3x(7 — x) intercepts (X, y) = (smaller x—value) (Xi y) = (larger X—value) (S)(S)relative minimum (x, y) = (l:l)(S)(S) relative maximum (x, y) = point of inflection (x, y) = Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.) E