Final answer:
The domain is all real numbers from 0 to 20, inclusive. The range is the single value 40. Yes, the relation is a function because each x-value corresponds to exactly one y-value.
Step-by-step explanation:
The question seems to be referencing a relation or a function, but unfortunately the specific details of the relation are not provided. Nonetheless, I can give you a general guideline on how to approach this type of question:
The domain of a function is the set of all possible input values (typically 'x' values) for which the function is defined. Given the function f(x) for 0 ≤ x ≤ 20, the domain is all real numbers between 0 and 20, including the endpoints. The range of a function is the set of all possible output values (typically 'y' values) it can produce. In the case of a horizontal line at y = 40, the range would be just the single value 40, since the output does not change with different x values.
To determine if a relation is a function, each input value must correspond to exactly one output value. With a horizontal line graph, every x-value between 0 and 20 corresponds to the single y-value of 40. Therefore, this relation is indeed a function.