How would I solve this?

7) The function F is defined for all x by F(x) = f(t) dt, where f is the function shown. a) Evaluate F(2), F' (2), and F"(2). Graph of f 1 - 3, 1 ) b) For what values of x is F decreasing? Justify your answer. c) For what values of x does F have a local maximum? A local minimum? Justify your answer. d) Write an equation of the tangent line to the graph of F at x = 4. e) For what values of x does F have an inflection point(s)? Justify your