JEE Main & Advanced AIEEE Solved Paper-2009

  • question_answer
    For real\[x,\]let\[f(x)={{x}^{3}}+5x+1,\]then     AIEEE  Solved  Paper-2009

    A) f is one-one but not onto R

    B) f is onto R but not one-one

    C) f is one-one and onto R

    D) f is neither one-one nor onto R

    Correct Answer: C

    Solution :

    \[f(x)={{x}^{3}}+5x+1\] \[f'(x)=3{{x}^{2}}+5>0\] \[\Rightarrow \]is one-one \[\because \]f is cubic \[\Rightarrow \]f is onto ?f? is one-one and onto.


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