Final answer:
The domain and range of a function are sets of possible input and output values, respectively. Without the actual function, it's not possible to accurately determine the domain and range. The examples provided represent the domains of discrete random variables.
Step-by-step explanation:
The question is asking to determine the domain and range of a given function. The domain represents all the possible values that can be input into a function, which in the context of a Probability Distribution Function (PDF) for a Discrete Random Variable, would be a set of discrete values. Conversely, the range is a set of all possible output values the function can produce.
Unfortunately, the question seems to be missing the actual function for which we are to find the domain and range. The given options refer to intervals commonly used to describe domains and ranges, but without the function, we cannot reliably determine the correct domain and range. For a function like f(x) = 1/x, the domain would be all real numbers except for x = 0 (since division by zero is undefined), and the range would also be all real numbers except for y = 0, as the function will never output zero.
If the student can provide the function in question, a proper assessment of the domain and range could be conducted. For discrete random variables like the examples listed (X, Y, Z), the domain would respectively be all the majors offered at the university for X, the set of non-negative integers up to the maximum number of classes allowed for Y, and the set of non-negative real numbers for Z since spending money on books cannot result in a negative amount.