-X Consider f(x) = e a. (4 points) Find the average value of f(x) over the interval [0,k]. b. What happens to the average value of fon [0,k] as k o? X 3. Let A(x) = f(t)dt, - 3 x 4, where f is the function graphed below. (7 points) = fra -1 a. grape at i Which is larger A(-3) or A(1)? Justify your answer. b. Which is larger A(2) or A(4)? Justify your answer. C. Where is A increasing? Justify your answer d. Explain why A has a local maximum at x = 1. 1