CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2003

  • question_answer
    If\[g(x)=\min (x,{{x}^{2}})\]where\[x\]is a real number, then:

    A) \[g(x)\]is an increasing function

    B) \[g(x)\]is a decreasing function

    C)  \[g(x)\] is a constant function

    D) \[g(x)\]is a continuous function except at\[x=0\]

    E) \[g(x)\]is a continuous function except at \[x=0\]and\[x=1\]

    Correct Answer: A

    Solution :

    \[\because \] \[g(x)=\min (x,{{x}^{2}})\] \[\therefore \]\[g(x)\]is an increasing function.


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