Question

If f : R → S defined by f (x) = − sin x  -√3 cosx + 1  is onto, then the interval of S is

(A)  [-1, 3]

(B) [ 1, 1]

(C)  [0, 1]

(D)  [0, -1]

Answer 1

Correct option   (A) [-1, 3]

Explanation :

We have

That is, the range is [−1, 3]. Therefore, for f to be onto, S = [-1, 3].