For the recursive factorial function output shown below, which lines of output would reflect the backward phase?%0D%0A%0D%0A1 factorial(3) %0D%0A2 3 * factorial(2) %0D%0A3 3 * 2 * factorial(1) %0D%0A4 3 * 2 * 1 %0D%0A5 3 * 2 %0D%0A6 6 %0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A1,2,3,4,5,6%0D%0A1,2,3,4,5,6%0D%0A%0D%0A4,5,6%0D%0A4,5,6%0D%0A%0D%0A1,2,3%0D%0A1,2,3%0D%0A%0D%0A1,4
The lines of output that would reflect the backward phase are: 4, 5, 6.
To determine which lines of output reflect the backward phase in the recursive factorial function, we need to understand how the function works.
In the recursive factorial function, the goal is to calculate the factorial of a given number. The factorial of a number n is the product of all positive integers less than or equal to n.
Now let's look at the lines of output:
1 factorial(3)
2 3 * factorial(2)
3 3 * 2 * factorial(1)
4 3 * 2 * 1
5 3 * 2
6 6
Lines 4, 5, and 6 represent the backward phase of the recursive factorial function. This is because the backward phase involves multiplying the numbers obtained from the forward phase in reverse order to calculate the factorial.
In the backward phase:
- Line 4 represents the multiplication of the base case, 1.
- Line 5 represents the multiplication of the result from line 4 (1) and the next number, 2.
- Line 6 represents the final result, which is the multiplication of the result from line 5 (2) and the original number, 3.
Therefore, the correct answer is: 4, 5, 6.
The backward phase of a recursive factorial function is the process of moving backwards through the recursive calls and calculating the final result. In this case, the lines of output that reflect the backward phase are:
4. 3 * 2 * 1
5. 3 * 2
6. 6
So, the correct answer is 4, 5, 6.