12th Class Mathematics Relations and Functions Question Bank Case Based (MCQs) - Relations and Functions

  • question_answer
    The function \[f:\,R\to R\] defined by \[f\left( x \right)=x-4\] is

    A) Bijective

    B) Surjective but not injective

    C) Injective but not Surjective

    D) Neither Surjective nor Injective.

    Correct Answer: A

    Solution :

    \[y=f\left( x \right)=x-4\] is one - one Also \[x=y-4\Rightarrow \,f\left( x \right)\] is onto \[\therefore \,\,f\left( x \right)\] is bijective function.


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