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JEE Main & Advanced Mathematics Functions Question Bank Self Evaluation Test - Relation and Functions-II

  • question_answer
    Let \[f:R\to R\] be function defined by \[f(x)=sin(2x-3),\] then f is

    A) Injective

    B) surjective

    C) bijective

    D) None of these

    Correct Answer: D

    Solution :

    [d] Since \[\sin (2x-3)\]is a periodic function with period \[\pi ,\]therefore f is to injective. Also, f is not subjective as its range \[[-1,1]\] is a proper subset of its co-domain R.


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