Based on the experiment results, it seems that the function f(x) has undefined behavior for certain input values, as indicated by the 'nan' and '-inf' outputs. However, we can still observe some patterns from the available data.

[DESCRIPTION]:
The function f(x) appears to have two distinct behaviors. For input values outside of a specific interval, the function returns 'nan' or '-inf'. Within this interval, the function returns a numerical output.

[DOMAIN]:
The domain of the function is likely the set of all real numbers, excluding the interval where the function has undefined behavior. This interval appears to be centered around x = 0. The specific bounds of this interval need further investigation.

[CODE]:
Based on the available data, we can approximate the behavior of the function using the following code:

```python
def f(x):
    if x < -1 or x > 1:
        return float('nan')
    elif x == 0:
        return float('-inf')
    else:
        return x ** 3 + 10
```

Please note that this code is an approximation based on the limited information we have. Further experimentation and analysis may be required to provide a more accurate description of the function f(x).