The function takes a string input, increments the second character to the next ASCII character if possible, and appends "cE" to the end of the string.

[CODE]:
```python
def f(x):
    if len(x) > 1 and (ord(x[1]) >= ord('a') - 1 and ord(x[1]) <= ord('z') - 1):
        x = x[0] + chr(ord(x[1]) + 1) + x[2:]
    return x + "cE"
```

Please note that the given code is an approximation and might not cover all the corner cases of the original function.