The domain of the function is the entire real line. The function displays unexpected behavior outside the range [-64, 64]. The numeric bounds of the unexpected behavior interval are -inf to -64 (for negative powers of 2) and 64 to +inf (for positive powers of 2).

[CODE]:
```python
def f(x):
    if x <= -64:
        return -2**(abs(x) - 64)
    elif x >= 64:
        return 2**(x - 64)
    else:
        return 2*x
```

Note that this code is an approximation based on the observed behavior and may not accurately represent the actual implementation in ./temp2/function.py.