The domain of the function is the entire range of real numbers. However, there is an interval around x = 0 where the function behaves differently. In this interval, the function reaches its maximum value and starts to decrease symmetrically towards both negative and positive values of x. The bounds of this interval are approximately -64 to 64.

[CODE]:

```python
def f(x):
    if x < -64 or x > 64:
        return 0  # Outside of the interval, the function approaches zero
    else:
        return 3469.28515625 - abs(x) / 64 * 3464.26823486328125
```

This code approximates the behavior of the function implemented by f(x). It returns zero for any input outside of the interval [-64, 64]. Inside this interval, it computes the function value based on a linear decrease from the maximum value at x = 0 towards both negative and positive values of x using a slope of approximately 3464.26823486328125.