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If $f : R \to S$ is given by $f (x) = \sin x - \sqrt{3} \cos x + 1$ is onto, then interval of S is

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Correct option is D

We have −a2+b2≤asinx+bcosx≤a2+b2So −1+3≤sinx−3cosx≤1+3⇒−2≤sinx−3cosx≤2⇒−2+1≤sinx−3cosx+1≤2+1⇒−1≤fx≤3⇒S=-1,3

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If f:R→S is given by fx=sinx−3 cosx+1 is onto, then interval of S is

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If $f : R \to S$ is given by $f (x) = \sin x - \sqrt{3} \cos x + 1$ is onto, then interval of S is