Consider the following statements in respect of the function f(x)=x...

Given the function $f(x) = x$ defined on the open interval $(-1,1)$.

For any $x \in (-1,1)$, we have $-1 < f(x) < 1$.

Since the interval is open, $x$ can be arbitrarily close to $1$ but never equals $1$. Thus, $f(x)$ does not attain a maximum value in the given interval.

Similarly, $x$ can be arbitrarily close to $-1$ but never equals $-1$. Thus, $f(x)$ does not attain a minimum value in the given interval.

Therefore, neither statement I nor statement II is correct.

Answer: Neither I nor II