3. Let F(x) = So f(t) dt, where f is the function whose graph is shown. (The graph of f consists of straight lines segments and a semicircle.) a. Where in the interval [-5, 5] is F decreasing? Justify your answer. b. Where in the interval [-5, 5] does F have local extrema? Justify your answer. -5 -4 -3 -2 O 3 C. Evaluate F(0), F'(0) and F"(0). d. Evaluate F(2), F'(2) and F"(2). -2 e. Find an equation of the line tangent to the graph of y = F(x) at x = -1. f. Find an equation of the line tangent to the graph of y = F(x) at x = 4. g. Find all of the inflection points of F in the interval [-5,5]. h. Let G(x) = [ F(t) dt. On which subintervals of [-5,5], if any, is G concave up