JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    If \[f:R\to R\], then the range of the function \[f(x)=\frac{{{x}^{2}}}{{{x}^{2}}+1}\] is [MP PET 1987]

    A)                    \[{{R}^{-}}\]

    B)            \[{{R}^{+}}\]

    C)            R

    D)            \[R\times R\]

    Correct Answer: B

    Solution :

               \[{{R}^{+}}\]{as y is always positive \[\forall \,\,x\in R\}\].


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