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[Solution] 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

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.

\[f\left( x \right)=\int\limits_{0}^{2x-1}{g\left( t \right)dt}\]
  1. Compute f(5/2)
  2. What is the domain of f?
  3. Find f’(3)
  4. Find the x coordinate of the absolute maximum of f on its domain

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