If the function be given by . Then is
odd and strictly increasing in .
Explanation for the correct option
Step 1: Solve to identify whether the function is odd or even
The given function .
Put .
Thus, the given function is an odd function.
Step 2: Solve to identify whether the function is increasing or decreasing
Differentiate the given function with respect to .
As, , thus, .
Therefore, in the region .
Thus, the given function is increasing in .
Therefore, the function is odd and strictly increasing in .
Hence, option(B) is the correct answer.