Problem

Problem

Let the function g:[−1,2]→Rg:[-1,2]\to\mathbb R be given by g(x)=⌊2x⌋.g(x)=\lfloor 2x \rfloor. Determine the set of all points in the interval [−1,2][-1,2] at which gg is continuous. Also list every point in [−1,2][-1,2] where gg is discontinuous and state the type of each such discontinuity.

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