If-f-R-R-is-a-function-such-that-f-x-f-y-sin-x-sin-y-x-y-R-Then-f-x-is-1-Bijective-2-many-one-3-periodic-4-non-periodic-

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

If f : R \to R is a function such that

∣ f (x) - f (y) ∣ ⩽ ∣ \sin x - \sin y ∣ \forall x, y \in R,

Then f (x) is

(1) Bijective

(2) many - one

(3) periodic

(4) non - periodic

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

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