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Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_functions

Class 12 Maths · Relations And Functions · Mcq Single Correct #4

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

✅ Step-by-Step Solution

Final Answer: Option (A): \([-1,3]\)
  1. \(f(x)=2\sin(x-\pi/3)+1\), whose range is \([-1,3]\). For an onto function this must equal its codomain \(S\).

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