12th Class Mathematics Relations and Functions Question Bank Case Based (MCQs) - Relations and Functions

  • question_answer
    Let : \[N\to R\] be defined by \[f\left( x \right)={{x}^{2}}\]. Range of the function among the following is

    A) \[\left\{ 1,\text{ }4,\text{ }9,\text{ }16,\text{ }... \right\}\]

    B) \[\left\{ 1,\text{ }4,\text{ }8,\text{ }9,\text{ }10,\text{ }... \right\}\]

    C) \[\left\{ 1,4,\text{ }9,\text{ }15,\text{ }16,\text{ }... \right\}\]

    D) \[\left\{ 1,\text{ }4,\text{ }8,\text{ }16,\text{ }... \right\}\]

    Correct Answer: A

    Solution :

    \[f\left( x \right)={{x}^{2}}\] Clearly Range of \[f\left( x \right)\]is \[\left\{ 1,\,\,4,\,\,9,\,\,16,...... \right\}\]


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