The derivative of f(t) is given by f'(t) = t³ − 6t² + 8t for 0 ≤ t ≤ 5. Graph f'(t), and describe how the function f(t) changes over the interval t = 0 to t = 5. When is f(t) increasing and when is it decreasing? Where does f(t) have a local maximum and where does it have a local minimum?