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JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1
If f:R→Sf:R \to S defined by f(x)=sin⁡  x−3  cos⁡  x+1f\left( x \right) = \sin \,\,x - \sqrt 3 \,\,\cos \,\,x + 1, is onto, then the interval of SS is
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Correct option: D
[−1,  3]\left[ { - 1,\;3} \right]
Option D is correct because the range of the function is determined by finding the minimum and maximum values of the sine and cosine expression.

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