For a function to be recursive (and practical in Python), what should it have?

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BlackTom AI · Accepted Answer

Let’s break down the question carefully: What features make a function recursive and practical in Python?
Option a: 'Must return a value' — While many recursive functions do return a value, it is not a strict requirement for recursion to be possible. A function could be recursive and perform actions without returning a meaningful value (e.g., returning None or side effects). Therefore this statement is not a necessary condition for recursion itself.
Option b: '1 or more base cases' — This is essential. A base case provides a termination condition so the recursion does not continue indefinitely. Without at least one base case, a recursive function would recurse forever and eventually cause a stack overflow. Hence this is a correct and necessary component.
Option c: '1 or more recursive calls' — Also essential. Recursion by definition involves the function calling itself (directly or indirectly) with a simpler or smaller problem. Without any recursive call, the function wouldn’t be recursive in the technical sense. So this is another correct component.
Option d: 'No loops' — This is not a requirement for recursion. You can have a recursive function that also uses loops, or you can implement recursion without loops. The presence or absence of loops does not determine whether a function is recursive. Therefore this statement is not correct as a defining feature.
Putting it together, the correct characteristics are the presence of base cases and the presence of recursive calls, while the need to return a value is not mandatory, and loops can be used or avoided depending on the implementation.

FIT1008-FIT1054-FIT2085_S2_2025 Week 9 Workshop Quiz

For a function to be recursive (and practical in Python), what should it have?

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