Question

Calculus

5. The graph of a function g(t) is given below

\text { Let } f(x)=\int_{-1}^{x} g(t) d t \text {. Answer the following: }

\text { (2pts) What is the value of } f^{\prime}(5) ?

\text { 3) On what interval(s) is } f \text { increasing/decreasing? Justify your answer. }

\text { s) On what interval(s) is } f \text { concave up/down? Justify your answer. }

) (2pts) Give the x-coordinates of any local maxima and any local minima (and specify which one each is).

What is the value of f(9)?