Let F(x) be antiderivative of f(x)

(1) where is F(x) increasing and decreasing explain why?

(2)where is F(x) concave up and concave down explain.

(3)where does F(x) has inflection point

(4) where F(x) has maxima and minima.

(5)Using your answer to these question make a rough sketch of antiderivative F(x) on same set of axis as f(x), given that F(0)=0

On your sketch label where F(x) is maxima , minima and inflection point,concave up and down, increasing and decreasing.