Given the following definition of computeList

When you invoke it as follows

What is the result?

Question

Given the following definition of computeList

When you invoke it as follows

What is the result?

BlackTom AI · Accepted Answer

First, I restate the problem setup in my own words to anchor the analysis: computeList is defined as computeList xs = map (\x -> x * 2 + 1) xs, and it's evaluated with a given input xs. The lambda function takes each element x of the list and computes x * 2 + 1, and map applies this function to every element of xs.

Option-by-option analysis:

- Option "[4,6,8,10]": If we were to obtain these values, the transformation would have to be x * 2, or some other operation that yields even numbers starting at 4 for the first element. However, the given function is x * 2 + 1, which always yields an odd result for integer x. Hence, this option does not match the actual transformation.

- Option "[2,4,6,8]": This sequence corresponds to x * 2 when the input xs starts with 1. But again, the function adds 1 after doubling, so each result should exceed these by 1 for each corresponding input. Therefore, this option is inconsistent with the defined lambda expression.

- Option "[3,5,7,9]": This matches the pattern (1*2+1, 2*2+1, 3*2+1, 4*2+1) if the input xs is [1,2,3,4]. Specifically, applying the function \x -> x * 2 + 1 to each element yields 3, 5, 7, and 9, respectively. This aligns perfectly with map applied to the sample input.

- Option "[3, 7, 11, 5]": This sequence does not follow a uniform doubling-plus-one pattern. The second element 7 would require an input of 3 to produce 7, but the third element 11 would then require an input of 5, which disrupts the consistent mapping over a single input list. This indicates a mismatch with the defined lambda and map behavior.

In summary, the only option that faithfully reflects the transformation produced by map (\x -> x * 2 + 1) over a typical input like [1,2,3,4] is the third option, since it exactly renders 1*2+1 = 3, 2*2+1 = 5, 3*2+1 = 7, and 4*2+1 = 9 when mapped over [1,2,3,4].

CPT_S-355-PULLM-1-LEC Scheduled Quiz 1

Given the following definition of computeList When you invoke it as follows What is the result?

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