If the function f:R rarrA defined as f(x...

If the function `f:R rarrA` defined as `f(x)=tan^(-1)((2x^(3))/(1+x^(6)))` is a surjective function, then the set A is equal to

A

`[-(pi)/(2), (pi)/(2)]`

B

`[-(pi)/(4), (pi)/(4)]`

C

`(-(pi)/(2), (pi)/(2))`

D

`[0, (pi)/(4)]`

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The correct Answer is:

B

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