Mathematics

Mathematics

Problem

The function ff is defined by f(x)={x3−3x2,x≤1,2x−1,x>1.f(x)= \begin{cases} x^{3}-3x^{2}, & x\le 1,\\ 2x-1, & x>1. \end{cases} Determine whether x=1x=1 is an inflection point of the graph of ff. State your conclusion and support it by indicating the concavity on each side of x=1x=1.

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