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Question Number 36104 by rahul 19 last updated on 28/May/18

$$\mathrm{If}\mathbf{f}:\mathbf{R}\to \mathbf{R}\mathrm{is}\mathrm{a}\mathrm{function}\mathrm{such}\mathrm{that}$$$$\mid \mathrm{f}\left(x\right)-\mathrm{f}\left(\mathrm{y}\right)\mid ⩽\mid \sin x-\sin \mathrm{y}\mid \mathrm{\forall }x,\mathrm{y}\in \mathbb{R},$$$$\mathrm{Then}\mathrm{f}\left(x\right)\mathrm{is}$$$$\left(1\right)\mathrm{Bijective}$$$$\left(2\right)\mathrm{many}-\mathrm{one}$$$$\left(3\right)\mathrm{periodic}$$$$\left(4\right)\mathrm{non}-\mathrm{periodic}$$

Commented by rahul 19 last updated on 31/May/18

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