Part IV. Free Response: No calculator is permitted.
Be sure to show all your work. Point values are given in ().
17. The graph of f shown consists of a semicircle and two line segments on the interval [-2,6].
Let $g(x) = \int_{-2}^{x} f(t)dt$.
a. (i) Find g(4). (ii) Find g'(3). (2 points)
b. On what open intervals contained in -2 ≤ x ≤ 6 is the graph of g increasing? Give a reason for your answer. (2 points)
c. On what open intervals contained in -2≤ x ≤6 is the graph of g concave up?
Give a reason for your answer. (2 points)
d. What is the maximum value of g(x) on the interval -2≤x≤6? Justify your answer. (3 points)
