To identify the mathematical function defined recursively by the provided Python function, we need the details of the recursive function implementation. However, since the actual code is not provided, let's analyze the possible responses based on common recursive functions.
If we consider a simple recursive function that returns different results based on the value of \( n \):
- 3 + n: This indicates a linear function which adds 3 to \( n \).
- 3: This is a constant function that returns 3 regardless of \( n \).
- 3 + (n - 1): This also appears linear and will reduce the output by 1 each time \( n \) increases by 1, effectively producing a linear function.
- 3 ⋅ n: This is a multiplication function which scales \( n \) by 3.
Without the exact recursive function implementation, it's difficult to determine definitively. Typically, a recursive definition would involve calls to the function itself with modified parameters.
However, if one were to guess based on common patterns in recursion:
- A function that returns a value like \( n + 3 \) might be defined as the base case plus 3 each time in recursive calls.
- The function defining itself recursively with a decrement (like \( n - 1 \)) would suggest an additive accumulation.
Among the provided options, if we assume a simple addition based on recursion, 3 + (n - 1) might represent a count-down until it reaches 3, somewhat aligning with common recursive traits (like accumulating values).
Answer: 3 + (n - 1) (assuming it reflects a decrementing approach reaching a base case).
Note: For the exact answer, the specific recursive function in Python would need to be examined.