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JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    The range of the function \[f(x)=\frac{x+2}{|x+2|}\] is [RPET 2002]

    A)            {0, 1}

    B)             {?1, 1}

    C)            R

    D)            \[R-\{-2\}\]

    Correct Answer: B

    Solution :

               \[f(x)=\frac{x+2}{|x+2|}\]            \[f(x)=\left\{ \begin{matrix}    -1,  \\    \,\,1,  \\ \end{matrix} \right.\,\,\,\,\,\,\begin{matrix}    x<-2  \\    x>-2  \\ \end{matrix}\]            \ Range of \[f(x)\] is \[\{-1,\,1\}\].


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