KVPY Sample Paper KVPY Stream-SX Model Paper-6

  • question_answer
    The image of the interval \[[-1,\,\,3]\] udder the mapping specified by the function \[f\,(x)=4{{x}^{3}}-12x\]

    A) \[[f\,(+1),\,\,f\,(-1)]\]

    B)        \[[f\,(-1),\,\,f\,(3)]\]

    C) \[[-8,\,\,16]\]                  

    D) \[[-8,\,\,72]\]

    Correct Answer: D

    Solution :

    Image of the interval \[[-1,\,\,3]\]under the mapping \[f\,(x)\] \[\Rightarrow \]   \[{{[f\,(x)]}_{\max '}}\,f\,{{(x)}_{[min]}}\] in \[[-1,\,\,3]\] \[f'\,(x)=0\]\[\Rightarrow \]            \[x=\pm \,\,1\,\,;\,\,f\,(-1)\,\,;\,\,f\,(1)\] & \[f\,(3)\] And interpret the result


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