George C. answered • 12/29/12

Humboldt State and Georgetown graduate

f'(x) = (x - 3)(3x - 1), slope = 0 at x = 3, and x = 1/3.

f"(x) = 6x - 10, thus an inflection point at x = 5/3.

Since the only inflection point is x = 5/3, foil (b) is not true (false).

At (3, 0) the function has a minimum, determined by the (+) value of the second derivative (6[3] - 10) = 8