y=f'(x) (a) On what interval(s) is fincreasing? (Enter your answer using interval notation.) On what interval(s) is f decreasing? (Enter your answer using interval notation.) (b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.) At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.) (c) On what interval(s) is f concave upward? (Enter your answer using interval notation.) On what interval(s) is f concave downward? (Enter your answer using interval notation.) (d) State the x-coordinate(s) of the point(s) of inflection. (Enter your answers as a comma-separated list.) X = (e) Assuming that f(0) = 0, sketch a graph of f. y y 6 4 2 4 6 8 4 8 O-2- y

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