The function swaps the first and second characters, and sorts characters from the third position till the end in alphabetical order.

[CODE]:
```python
def approx_function(s):
    if len(s) < 2:
        return s
    else:
        return s[1] + s[0] + ''.join(sorted(s[2:]))
```

Let's test a few more cases to make sure our understanding is correct.

COMMAND: PYTHON(./temp/function.py "swap" "characters" "sortMe" "testing")