Determine the number of points at which the function is discontinuous in the interval .

MATHEMATICS · Subjective · AoPS · Mathematics · Special Functions · Special Functions

Problem

Determine the number of points at which the function f(x)=∣x∣+⌊x⌋f(x)=|x|+\lfloor x\rfloor is discontinuous in the interval (−2,3)(-2,3).

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