The function takes an input string and alternates the case of characters, starting with an uppercase letter, followed by a lowercase one, and so on.

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

```python
def alternate_case(s):
    result = ""
    for i, c in enumerate(s):
        if i % 2 == 0:
            result += c.upper()
        else:
            result += c.lower()
    return result
```

Now, let's test this function to ensure it behaves the same as the original one.

COMMAND: PYTHON(./temp/function.py "Example" "Function" "Approximation" "Test" "Case")