Based on the experiments, we have the following input-output pairs for the function:

(-128, -3520.0)
(-64, -1760.0)
(0, 0.0)
(64, -1760.0)
(128, -3520.0)

Based on these pairs, let's try to describe the function.

[DESCRIPTION]:
The function seems to be symmetric around the x-axis. It takes an input value x and produces an output value that follows a V-shaped pattern. As the input moves away from 0 towards either negative or positive values, the output decreases. The function has a maximum value at x = 0.

[DOMAIN]:
The domain of the function seems to be the entire real number line. However, there is an interval around x = 0 where the function displays a different behavior. This interval is from approximately -64 to 64. In this interval, the function takes the value 0 at x = 0 and exhibits a symmetric V-shaped pattern around it.

[CODE]:
Here's a Python code approximation of the behavior of the function:

def f(x):
    if x > 64 or x < -64:
        return -3520.0
    elif x < 0:
        return -1760.0 + x
    elif x > 0:
        return -1760.0 - x
    else:
        return 0.0

This code considers the behavior of the function outside the [-64, 64] interval as a constant value of -3520.0. Inside the interval, it takes into account the symmetry and adjusts the output accordingly based on the input's distance from 0.