question_answer

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

A) \[[0,\text{ }3]\]  

B)                        \[[-1,\text{ }1]\]              

C)        \[[0,\,1]\]           

D)        \[[-1,\text{ }3]\]

Correct Answer: D

Solution :

We know that Since,  Range of