1. The graph of the function f is shown at the right. a. Which of the following is the best estimate of JP f (x) dx: -24, 9,20,38? Justify your answer. b. If(x) dx = 4. Does this approximation overestimate of underestimate the exact value of the integral? Justify your answer. 2. The graph of function f (which consists of two straight line segments and two quarter circles) is shown. Use this graph to evaluate the given integrals. Give exact answers in terms of n where appropriate. a. [of(x) dx b. [ f ( x ) dx 6 9 10 12 13 14 c. Sof(x) dx d. S, f (x) dx e. f f (x) dx f. S'f (x) dx g. So 'If ( x) | dx h. If ( x) dx i. fief (x ) dx j. So f (x) dx 3. Let f be the function whose graph is given in problem #2 and assume that F' = f and F(0) = 2. a. On what interval(s) is F increasing? On what interval(s) is F decreasing? b. On what interval(s) is F concave up? On what interval(s) is F concave down? C. At what point(s) does F have a relative maximum? At what point(s) does F have a relative minimum? d. Recall that F(0) = 2. Find F(b) for b = 2,5,9, 15. e. Use the information in parts a-d to sketch the graph of F. f. Let A(x) = f2 f(t) at and let B(x) = ] f(t) dt. How are the graphs of functions A and B related