Mathematics

Mathematics

Problem

The function hh is given by h(x)={−x2+4x+1,x≤1,(x−2)2−3,x>1.h(x)= \begin{cases} -x^{2}+4x+1, & x\le 1,\\ (x-2)^{2}-3, & x>1. \end{cases} At which xx-value does hh attain a relative minimum? a) x=1x=1 b) x=2x=2 c) x=0x=0 d) x=3x=3

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