CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2004

  • question_answer
    If R denotes the set of all real number, then the function \[f:R\to R\] defined \[f(x)=|x|\] is :

    A)  one-one only

    B)  onto only

    C)  both one-one and onto

    D)  neither one-one nor onto

    Correct Answer: D

    Solution :

    The given function is  \[f(x)=|x|=\left\{ \begin{matrix}    x & x\ge 0  \\    -x & x<0  \\ \end{matrix} \right.\]and\[f:R\to R\]. then it is clear that function is neither one-one nor onto. 


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