Example 8: The graph of the derivative f' ofa continuous function f(x) on [0,9] is shown below. Answer the following questions in complete sentences. (a) On what open interval(s) is f increasing? Justify. (b) At what value(s) ofx does f have a local maximum or minimum? Justify. (c) On what intervals is f concave down? Justify. (d) State the inflection values of f Justify. (e) Assuming that f(0) = 0, sketch a possible graph off. Determine the xvalue(s) at which f attains its maximum andfor minimum value(s)