The first derivative f '(x) of a certain function f (x) is given. In each case,
(a) Find intervals on which f is increasing and decreasing.
(b) Find intervals on which the graph of f is concave up and concave down.
(c) Find the x coordinates of the relative extrema and inflection points of f.
(d) Sketch a possible graph for f (x).
f '(x) = x2 − 2x − 8
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