Determine and verify all max/min and inflection points of y = x3 - 3x2 - 9x +1. 2. Sketch a graph of a function that has f"(x) > 0 when -2 1, f' (2) = 0, and f(-2) = -3, f (0) = 0. 3. Algebraically determine a, b, c, and d for the function f(x) = ax' + bx2 + cx +d if f(x) has an inflection point of (0,4) and a local minimum point of (2, -4 ). 4. A particle moves horizontally with its position (in m) given by, s(t) = t - 9t + 24t, 0s