Final answer:
The reasonable domain for how high someone could jump relative to a 25 feet tall building would be from 0 to 10 feet, expressed as [0, 10] in interval notation.
Step-by-step explanation:
When determining a reasonable domain for a function or context, you are identifying all the possible input values that the function can accept or that make sense within a given scenario. In the case of a person jumping and a building's height, to find a reasonable domain, we must consider the physical constraints of the situation.
Given that someone can jump 10 feet into the air and the building is 25 feet tall, we can set up a real-world context. The domain in this case would be all the heights that the person can reach by jumping - from 0 feet (ground level) to a maximum of 10 feet (the peak of their jump). We express this domain in interval notation as [0, 10], where the brackets indicate that the endpoints are included in the domain.
Note that domain can also be a set of discrete values, particularly when the situation calls for it. For example, if this were a case of analyzing how many times one could jump to reach certain heights, we would look at whole number intervals. However, in this context of continuous jumping height, our domain is a continuous set of values between 0 and 10 feet.