Determine the range of the function f(x)=2x−2−x2x+2−xf(x) = \frac{2^x - 2^{-x}}{2^x + 2^{-x}}f(x)=2x+2−x2x−2−x for x∈Rx \in \mathbb{R}x∈R.
(-1, 1)
[0, 1)
(-1, 1]
\mathbb{R}