For the recursive factorial function output shown below, which lines of output would reflect the backward phase? 1 factorial(3) 2 3 * factorial(2) 3 3 * 2 * factorial(1) 4 3 * 2 * 1 5 3 * 2 6 6 (1 point) Responses 4,5,6 4,5,6 1,2,3 1,2,3 1,4 1,4 1,2,3,4,5,6
The lines of output that would reflect the backward phase are 4, 5, and 6.
The lines of output that would reflect the backward phase are:
1. factorial(3)
2. 3 * factorial(2)
3. 3 * 2 * factorial(1)
So the correct answer would be: 1, 2, 3.
To determine which lines of output would reflect the backward phase in the recursive factorial function, let's break down the function and its outputs.
The recursive factorial function works by multiplying a number with the factorial of the number one less than it. The base case is when the number is 1, for which the factorial function returns 1.
So, let's analyze the given lines of output:
1 factorial(3) - This is the initial call to the factorial function for the number 3.
2 3 * factorial(2) - This line shows the recursive call to the factorial function for the number 2. This is the first step of the backward phase.
3 3 * 2 * factorial(1) - This line shows the recursive call to the factorial function for the number 1. This is the second step of the backward phase.
4 3 * 2 * 1 - This line shows the actual computation when the factorial function reaches the base case of 1. This is the last step of the backward phase.
5 3 * 2 - This line shows the multiplication of 3 and 2, which is the result of the factorial function for the number 2.
6 6 - This line is the final result of the factorial function for the number 3.
From the above analysis, the lines of output that reflect the backward phase are 2, 3, and 4.
Therefore, the correct response is: 1, 2, and 3