Math 151 3 (3) The function f(t) describes the position of an object moving back and forth along a straight line. Suppose f(t) has domain x 2 -2, and the graph of f'(t) is f' (t) -2 1.5 -1 -0.5 0 0.5 N 2.5 3 3. (a) At what times t does the object change directions? ANSWER: t = (b) On what intervals is the acceleration of the object positive? Negative? ANSWER: accel positive: accel negative: (c) Suppose f(-2) = 0. Sketch a graph of f, making sure to locate minimums, maximums and inflection points appropriately