The domain of the function is the range of real numbers. The first interval where the function returns -11.9 is in the range of input values from -128 to -32. The second interval where the function returns -5.1 is in the range of input values from 0 to 128.

[CODE]:
```python
def f(x):
    if -128 <= x <= -32:
        return -11.9
    elif 0 <= x <= 128:
        return -5.1
    else:
        # Handle inputs outside the defined intervals
        return None  # Or any other desired behavior
```

Note: This code is an approximation based on the given observations and assumes a piecewise behavior where the function returns different constant values in the specified intervals.