4. (12 points) The function g(x) is defined by the integral af) = ], cos (27)=?2? a. Find g(-1); then approximate g(1) using your graphing calculator. b. Find g(x) c. Is the graph of g increasing, decreasing, or neither at x= 0? Show the analysis that leads to your conclusion. d. Is the graph of g concave upwards, concave downwards, or neither at x = 1? Show the analysis that leads to your conclusion. 5. (8 points) A function g(x) has a derivative a?(