UNIT 5 EXAM - Anaylitical Applications of Derivatives (2021) Part I. Free Response: Graphing Calculator Permitted. Be sure to show all your work. Point values are given in (). 1. Let f be a function defined on the closed interval -3S x5 4 with f(0) = 3 and f(-1) = 2. The graph of f', the derivative of f , consists of a line segment and a semi-circle, as shown to the right. a. On what interval(s), if any, is fincreasing. Justify your answer. (2 points) graph of f' b. For what x-value does fhave a relative minimum. Justify your answer. (2 points) c. On what interval(s), if any, is f concave downward. Justify your answer. (2 points) d. Find the x-coordinate of each point of inflection of the graph of fon the open interval -3