Let $f ( x ) = \int _ { - 3 } ^ { x } g ( t ) d t$

Essay

Let $f ( x ) = \int _ { - 3 } ^ { x } g ( t ) d t$ where g is the function whose graph is shown below: (a) Evaluate f ( $- 3$ ), f ( $- 1$ ), f (0), f (1), f (3) and f (5).(b) On what interval(s) is f increasing?
(c) What are the maximum and minimum values of f over [ $- 3$ ,5]?