(-4,11) R A fe 3 4 -4 -3 T S 5 X The function f is defined and differentiable on the interval [4, 5]. The graph of f is shown in the figure above and has horizontal tangents at x = 0, x=2, x = 3, and x = 4. The regions R, S, and I have areas There is a local maximum at x = -2 of 12, 15 and 3 respectively. Let g be the functioned defined by g(x) = x) = [² f (² f(t)dt. AB1: Find the x coordinate of any local minimum or local maximum of g. Justify your answer. AB2: Find all intervals where g is both decreasing and concave down. Explain your reasoning.