Suppose that f(t) is an unknown continuous function defined for t > 0 satisfying the following conditions: (1) f(0) = f(7) = 0 %3D (11) f (t) > 0 on the intervals (0, 4) and (7, oo0) (III) f(t) < 0 on the interval (4, 7) Let A(x) be defined as the area function A(x) = Jo f(t) dt. INSTRUCTIONS: For each of the following statements, decide if the statement is true or false. In either case, explain your answer in a sentence or two. STATEMENT A: It must be true that A(x) > 0 for all x in the interval (0, 4). STATEMENT B: It must be true that A(x) < 0 for all æ in the interval (4, 7). STATEMENT C: A(x) is decreasing when a > 7.

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