The domain of the function is the set of all real numbers. The function displays unexpected behavior around the interval [-64, 0], where the output changes abruptly from approximately 7.4 to 465.02.

[CODE]:

```python
def f(x):
    if x <= 0:
        return 7.4
    else:
        return 33.7
```

This code represents the approximate behavior of the function f(x) as described in the experiments.