Sometimes the derivative of a function is known, but not the function. We will see more of this later. For each function f defined in Exercises, find f″(x) , then use a graphing calculator to graph f′ and f″ in the indicated window. Use the graph to do the following.

(a) Give the (approximate) x-values where f has a maximum or minimum.
(b) By considering the sign of f′(x), give the (approximate) intervals where f(x) is increasing and decreasing.

(c) Give the (approximate) x-values of any inflection points.
(d) By considering the sign of f′′(x), give the intervals where f is concave upward or concave downward.

f'(x) = 1 - x (x + 1)2+(-3, 3] by [-1.5, 1.5]