critical&inflection points

Using the graph of g' shown below and the fact that g(0) = 100, 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?