I. For the function $$f(x)=\frac{1}{3}*x^3-2*x+1$$, the candidate for an inflection point is found by setting the second derivative equal to zero; since $$f''(x)=2*x$$, we have $$2*x=0$$ which gives $$x=0$$.

II. For values of x less than 0, $$f''(x) < 0$$ (concave down), and for values greater than 0, $$f''(x) > 0$$ (concave up).

III. Therefore, f has a relative minimum at $$x=0$$.

Which of the above statements correctly describes the properties of f?