JCECE Engineering JCECE Engineering Solved Paper-2002

  • question_answer
    Which one of the following objective function on the set of real numbers?

    A) \[2x-5\]

    B) \[|x|\]

    C) \[{{x}^{2}}\]                                      

    D) \[{{x}^{2}}+1\]

    Correct Answer: A

    Solution :

    [a] Let\[f(x)=2x-5\] It is a polynomial of degree\[1.\] \[\therefore \]For all values of\[x\], we will get the set of real numbers. [b] Let\[y=|x|\] It is an absolute function, therefore we will get set of positive real numbers. [c] Let\[y={{x}^{2}}\]. It is an even function, so we get the set of positive real numbers. [d] Let\[y={{x}^{2}}+1\] It is a set of positive real numbers. \[\therefore \]Option  is correct


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