Final answer:
The domain of the constant function f(x) = 20 is {0, 1, 2, ..., 20}, and the range is {20}. The value of f(-3) is not defined as -3 is not within the domain of the function.
Step-by-step explanation:
Based on the information provided, the function f(x) represents a constant function where f(x) = 20 for all x in the interval from 0 to 20. Therefore, the domain of the function is the set of all x values for which the function is defined, and the range is the set of all possible output values of the function.
- The domain of f(x) as a set is x which in set notation is written as {0, 1, 2, ..., 20}.
- The range of f(x) is simply the set of output values that the function can produce, which in this case is a constant value of 20. Thus, the range in set notation is {20}.
- To find the value of f(-3), since the domain is 0 ≤ x ≤ 20, f(-3) is not defined because -3 is not within the domain.