The domain of the function is the entire range from -128 to 128. There is an interval between -64 and -32 where the function behaves differently.

[CODE]:
```
def f(x):
    if x >= -64 and x <= -32:
        # Handle the interval where the function behaves differently
        return complex_operation(x)
    else:
        # For all other inputs, return a constant value of -24.9
        return -24.9
```

Note: The specific implementation of the complex_operation function is not provided, but it would be responsible for producing the complex results observed within the -64 to -32 interval.