Antiderivatives: Graphically!!!

Using the graph of *g'* shown below and the fact that *g*(0) = 150, sketch a graph of *g(x)*. Find the coordinates of all the critical points and inflection points of *g*.

http://www.webassign.net/hgmcalc/6-1-18.fig.gif

(a) The critical points of *g* occur at what points?

(b) The inflection points of *g* occur at what points?

i need some help with this problem, i dont have trouble finding possible graphs for g(x) but finding the cooridinates gives me the most trouble, can anyone help me with this, thanks

mathlete