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JEE Main & Advanced Mathematics Functions Question Bank Self Evaluation Test - Relation and Functions-II

  • question_answer
    The image of the interval [1, 3] under the mapping \[f:R\to R,\] given by \[f(x)=2{{x}^{3}}-24x+107\] is

    A) \[[0,89]\]

    B) \[[75,89]\]

    C) \[[0,75]\]

    D) None of these

    Correct Answer: B

    Solution :

    [b] Since, the given function has minimum value 75 which is attained at x=2 and maximum value 89 which is attained at x=3. Hence, the range of f is \[[75,89].\]


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