Homework Help: CAlculus

Posted by LC on Tuesday, November 29, 2011 at 2:52am.

The graph of the derivative, f '(x), is given. Determine the x-coordinates of all points of inflection of f(x), if any. (Assume that f(x) is defined and continuous everywhere in [-3, 3]. If there are more answer blanks than inflection points, enter NONE in any remaining spaces)
(x1) = Incorrect: Your answer is incorrect. (smaller value)
(x2) = Correct: Your answer is correct. (larger value)

CAlculus - Steve, Tuesday, November 29, 2011 at 10:34am
Look at the graph. f(x) has points of inflection where f''(x) = 0.

But f''(x)=0 means that f'(x) has a min or max. So, observe the x-values where the given graph has a minimum or maximum. That is where f(x) has a point of inflection.

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