Mathematics

Mathematics

Problem

The function gg is continuous on [0,6][0,6] and differentiable on (0,6)(0,6). Selected function values are g(0)=2, g(2)=5, g(4)=−1, g(6)=3g(0)=2,\,g(2)=5,\,g(4)=-1,\,g(6)=3. The only critical numbers of gg in (0,6)(0,6) are x=2x=2 and x=4x=4. At which of the following xx–values does gg attain its absolute minimum on [0,6][0,6]? a) x=0x=0 b) x=2x=2 c) x=4x=4 d) x=6x=6

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