Question: The greatest integer function (x) = [x], defined for all values of x, assumes a local maximum value of 0 at each point of [0,

The greatest integer function ƒ(x) = [x], defined for all values of x, assumes a local maximum value of 0 at each point of [0, 1). Could any of these local maximum values also be local minimum values of ƒ? Give reasons for your answer.

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