JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    If the domain of function \[f(x)={{x}^{2}}-6x+7\] is \[(-\infty ,\ \infty )\], then the range of function is                    [MP PET 1996]

    A)            \[(-\infty ,\ \infty )\]

    B)            \[[-2,\ \infty )\]

    C)            \[(-2,\ 3)\]

    D)            \[(-\infty ,\ -2)\]

    Correct Answer: B

    Solution :

               \[{{x}^{2}}-6x+7={{(x-3)}^{2}}-2\]            Obviously, minimum value is ? 2 and maximum \[\infty \]. Hence range of function is [?2, ¥].


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