The function defined by is
One-One but not Onto
Explanation for the correct option
Given function, .
Differentiate the given function with respect to .
As , thus .
So, and the given function is always increasing.
Hence, the given function is a One-One function.
Now, let .
Replace the values of and with each other.
As the denominator, .
Thus, .
Hence, is not a pre-image of the given function, whereas the given co-domain is .
So, the given function is an Into function.
Therefore, the function is One-One but not Onto.
Hence, the given function is One-One but not Onto, and therefore correct option is (B).