Question

Let the function$f\left( x \right) = {x^2} + x + \sin x - \cos x + \log \left( {1 + \left| x \right|} \right)$ be defined on the interval $\left[ {0,\;1} \right].$ The odd extension of $f\left( x \right)$ to the interval $\left[ { - 1,\;1} \right]$ is

Accepted Answer

$ - {x^2} + x + \sin x + \cos x - \log \left( {1 + \left| x \right|} \right)$

Answer

${x^2} + x + \sin x + \cos x - \log \left( {1 + \left| x \right|} \right)$

Answer

$ - {x^2} + x + \sin x - \cos x + \log \left( {1 + \left| x \right|} \right)$

Answer

None of these

JEE MATHEMATICS MCQ: FUNCTIONS

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