Let $g ( x ) = \int _ { - 2 } ^ { x } h ( t ) d t$

Essay

Let $g ( x ) = \int _ { - 2 } ^ { x } h ( t ) d t$ , where h is the function whose graph is shown below: (a) Evaluate g ( $- 2$ ), g ( $2$ ), g (0), g (3).(b) On what interval(s) is g increasing?
(c) What are the maximum and minimum values of g over [ $- 2$ ,3]?