Determine inflection point and then use to help draw graph


Provided the function f(x) determine all critical point(s) and classify them as the local maxima, local minima or neither. Additionally, determine inflection point(s) and then use them to help draw accurately scaled graph with features clearly labeled( local minima, local maxima, inflection points, etc).

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Mathematics: Determine inflection point and then use to help draw graph
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