let g be the function given by g(x)=integral (from 1 to x) 100(t^2-3t+2)e^-t^2dt.

Which of the following statements about g must be true?

I.g is increasing on (1,2)

II. g is increasing on (2,3)

III. g(3)>0

A) I only

B) II only

C) III only

D) II and III only

E) I, II, and III