JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    . If \[f:R\to R\], then \[f(x)=\ |x|\] is [RPET 2000]

    A)                    One-one but not onto

    B)            Onto but not one-one

    C)            One-one and onto

    D)            None of these

    Correct Answer: D

    Solution :

               \[f(-1)=f(1)=1\]; \[\therefore \]function is many-one function. Obviously, f is not onto so f is neither one-one nor onto.


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