d

According to the monotone interval, when x=- 1, the maximum value f (-1) =-1/3-1+3 = 5/3 is obtained.

When x=3, the minimum value f (3) = 3 2-3 2-3 * 3 =-9 is obtained.

f″(x)= 2x-2

When x≤ 1, f''(x)≤0, and ∴ convex interval is (-∞, 1].

When x≥ 1, f''(x)≥0, and the concave interval is [1, +∞).

F''(x)=0 is the inflection point, where x= 1, f (1) =1/3-1-3 =-1/3.

The inflection point is (1,-1 1/3).