Which of the following python functions could be modeled by the following recursive diagram? (1 point) Responses def factorial(n): if n == 0: return 1 else: return n * factorial(n - 1) def factorial(n): if n == 0: return 1 else: return n * factorial(n - 1) def fib(n): if n <= 1: return n if n > 0: return fib(n - 1) + fib(n - 2) def fib(n): if n <= 1: return n if n > 0: return fib(n - 1) + fib(n - 2) def power(b, n): if n == 0: return 1 else: return (b * power(b, n - 1)) def power(b, n): if n == 0: return 1 else: return (b * power(b, n - 1)) def reverse(n): if len(n) == 0: return temp = n[0] reverse(n[1:]) print(temp)
The recursive diagram best models the factorial function.
The function that could be modeled by the given recursive diagram is the function "factorial(n)".
Here is the recursive diagram for the "factorial(n)" function:
factorial(n)
|
if n == 0
|
return 1
|
else
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return n * factorial(n - 1)
The recursive diagram describes a function that calculates the factorial of a number. To find the function from the given options, we can look for a function that matches the structure of the diagram.
The first option, `factorial(n)`, matches the structure of the recursive diagram. It checks if `n` is equal to 0, and if so, returns 1. Otherwise, it multiplies `n` by `factorial(n - 1)` recursively.
Therefore, the correct function is:
```python
def factorial(n):
if n == 0:
return 1
else:
return n * factorial(n - 1)
```
This function recursively calculates the factorial of a given number `n`.