Question: Let g be the function whose domain is on the closed interval [0,8]. The graph of g is shown below. The graph is made up of straight line segments and a semicircle.

\[f\left( x \right)=\int\limits_{0}^{2x-1}{g\left( t \right)dt}\]

a. Compute f(5/2)

b. What is the domain of f?

c. Find f’(3)

d. Find the x coordinate of the absolute maximum of f on its domain