Final answer:
To determine the domain of a vector function, identify all possible input values. For a function defined between 0 and 20, the domain is [0, 20]. For random variables, the domain includes all possible outcomes of the experiment.
Step-by-step explanation:
To find the domain of a vector function, we look for all the possible values of the input variable that can be plugged into the function without causing any undefined behaviors or contradictions. Given the information from the practice test solutions, the domain can be a list (e.g., the domain of X as all the majors offered at a university), a set of numbers (e.g., the domain of Y as the integers from 0 to the limit of classes allowed), or even a range of values (e.g., the domain of Z as any amount of money from zero upwards).
If we look at the specific example of a function f(x) defined for 0 ≤ x ≤ 20, the domain is the closed interval from 0 to 20, which can be written in interval notation as [0, 20].
Considering random variables, they are quantities that can take any value within their domain, and their specific value is determined only after an experiment or survey is performed. If we have a random variable representing the number of books checked out from a library, the domain would include all possible numbers of books that could be checked out.
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