The domain of the function is the set of all real numbers. There doesn't seem to be an interval where the function displays unexpected behavior. However, there is a point of symmetry at x = 0, where the function reaches its maximum value of 124. The function appears to be mirroring its outputs around this point.

[CODE]:

```python
def f(x):
    if x == 0:
        return 124
    elif x < 0:
        return -29800 / x
    else:
        return -29800 / abs(x)
```

This code is a rough approximation of the function behavior based on the experiments conducted. It captures the symmetry around x = 0 and the decreasing magnitude of the outputs as x moves further away from 0. However, note that without further information or a deeper understanding of the function, this code may not fully capture the exact behavior of f(x).