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Class 12MathematicsRelations and FunctionsFunctionsHard
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If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sin x), why is (f) not onto?

Answer and explanation

Correct answer: Because its range is ([-1,1])

Step 1: The value of (\sin x) always lies between (-1) and (1). Step 2: The codomain is (\mathbb{R}), which includes values like (2) that are not attained. Step 3: For onto checking, compare the range with the codomain.

Related tags

Trigonometric-FunctionOntoRangeFunctionsRelations And FunctionsMathematicsClass 12 Mcq
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