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Let g(x) = -1 3 2 1 -2F -3 f(t) dt, where f is the function whose graph is shown. y 8 f(t) 16

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Let g(x) = -1 3 2 1 -2F -3 f(t) dt, where f is the function whose graph is shown. y 8 f(t) 16 24 32 i (a) At what values of x do the local maximum values of g occur? (Enter your answers as a comma-separated list.) X = At what values of x do the local minimum values of g occur? (Enter your answers as a comma-separated list.) X = (b) Where does g attain its absolute maximum value? X = 36 On what intervals is g concave downward? (Enter your answer using interval notation.)

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