JEE Main & Advanced Sample Paper JEE Main Sample Paper-3

  • question_answer
    \[f(x)={{x}^{2}}[x]\]

    A)  increases in (0, 1)      

    B)  decreases in (0 , 1)

    C)  increases in (-1, 0)     

    D)  none of these

    Correct Answer: C

    Solution :

     \[f(x)={{x}^{2}}[x]\] \[\Rightarrow \]\[f(x)=\left\{ \begin{matrix}    -{{x}^{2}}, & -1<x<0  \\    0, & 0\le x<1  \\ \end{matrix} \right.\]


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