Final answer:
The domain of the function is the set of whole numbers from 0 to 12, inclusive.
Step-by-step explanation:
The domain of the function n(b) represents all the possible values for the input, which in this case is the number of boxes of nails purchased (b). Since Kinsley can purchase up to 12 boxes of nails for building a wooden deck behind her home, the domain of n(b) is the set of whole numbers from 0 to 12, inclusive. Therefore, the domain of n(b) is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
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