How would I solve these?

x 5) Let g(x) = | f(t) dt, where f is the function shown. Graph of f -3 a) Evaluate g(-3) and g (3). b) On what intervals is g increasing? Justify. C At what values of x does g have an inflection point(s)? Justify? d) At what values of x does g have a maximum value? A minimum value? Justify