Which of the following python functions could be modeled by the following recursive diagram? (1 point) Responses def reverse(n): if len(n) == 0: return temp = n[0] reverse(n[1:]) print(temp) def reverse(n): if len(n) == 0: return temp = n[0] reverse(n[1:]) print(temp) 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 factorial(n): if n == 0: return 1 else: return n * factorial(n - 1)

Answer 1

To determine which function could be modeled by the recursive diagram you provided, we need to analyze the structure and behavior of the available functions.

1. Reverse function:

   def reverse(n):
       if len(n) == 0:
           return 
       temp = n[0]
       reverse(n[1:])
       print(temp)
   

   This function takes a list (or string) n and uses recursion to print the elements in reverse order. It continues to call itself with the rest of the list until it reaches an empty list, then prints each element as the call stack unwinds.

2. Fibonacci function:

   def fib(n):
       if n <= 1:
           return n
       if n > 0:
           return fib(n - 1) + fib(n - 2)
   

   This function calculates the nth Fibonacci number using a recursive approach. The base case returns n when it is 0 or 1. Otherwise, it sums the results of the two previous Fibonacci numbers recursively.

3. Power function:

   def power(b, n):
       if n == 0:
           return 1
       else:
           return (b * power(b, n - 1))
   

   This function calculates b raised to the power of n recursively. The base case returns 1 when n is 0. Otherwise, it multiplies b by the result of power(b, n-1).

4. Factorial function:

   def factorial(n):
       if n == 0:
           return 1
       else:
           return n * factorial(n - 1)
   

   This function computes the factorial of n recursively. The base case returns 1 when n is 0, and otherwise multiplies n by the factorial of n-1.

Based on these descriptions, the first function (reverse) matches a recursive structure where an input of length n is reduced and processed on each recursive call by printing the initial part after the rest has been processed.

So, the function modeled by the recursive diagram you have presented is:

The reverse function.