The graph of a function f consists of a semicircle and two line segments as shwon below. Let $\displaystyle g(x)=\int^x_1 f(t)dt$.

a.) Find g(1)

b.) Find g(3)

c.) Find g(-1)

d.) Find all values of x on the open interval (-3,4) at which g has a relative maximum.

e.) Write an equation for the line tangent to the graph of g at x =-1.

f.) Find the x-coordinate of each point of inflection of the graph of g on the open-interval (-3,4)

g.) Find the range of g.

I know how to do the first 3 problems, but the rest are confusing. Any help is appreciated, thanks. Sorry for the bad paint skills...