Final answer:
The domain of the function B(n), which categorizes building types by house-number, should include 0 for residential buildings, making the correct option c. 0, 1, 2, despite the given options suggesting b. 1, 2, 3.
Step-by-step explanation:
The student's question pertains to the function B(n), which models the type of building corresponding to a house-number n on a street with house-numbers ranging from 1 to 8888. The function's output is coded as 0 for residential buildings, 1 for commercial buildings, 2 for government buildings, and 3 for other buildings.
Given these specified outputs, the number type more appropriate for the domain of B is option b. 1, 2, 3. However, this seems to be a mistake as residential building codes start from 0, thus the correct domain should include 0 to reflect the residential buildings. Therefore, the most accurate domain would actually be option c. 0, 1, 2, which represents all possible outputs of the function B(n) according to the given key.
It is important to ensure that the domain of a function correctly captures all potential inputs that the function is designed to handle, in this case, building numbers, which would certainly include residential buildings numbered with 0.