Let and consider its domain restricted to the interval

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

Let g(x)=⌊x⌋g(x)=\lfloor x\rfloor and consider its domain restricted to the interval [1.2,4.7][1.2,4.7]. Which of the following is the range of gg on this interval? (a) {2,3,4,5}\{2,3,4,5\} (b) {1,2,3,4}\{1,2,3,4\} (c) [1.2,4.7][1.2,4.7] (d) {1,2,3,4,5}\{1,2,3,4,5\}

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