Final answer:
The domain of a discrete graph includes countable, finite values, exemplified by the number of students in a class, number of cars in a parking lot, number of questions on a test, and number of TV sets in a home.
Step-by-step explanation:
The domain of a discrete graph refers to the set of all possible input values, which must be countable. For a discrete graph, the following options describe its domain:
- b) number of students in a class
- c) number of cars in a parking lot
- e) the number of questions on a math test
- g) the number of TV sets in your home
These represent discrete quantities because they are countable and finite numbers.
For instance, the domain of X, if X represents a student's major, would be a list of all the majors offered at the university, which is a discrete set of values. Additionally, the domain of Y, if Y represents the number of classes taken in the previous semester, would also be discrete, including the integers from zero to the upper limit of classes allowed by the university. Lastly, the domain of Z, if Z represents the amount of money spent on books in the previous semester, would consist of any amount of money from zero upwards, which is a discrete numerical value because we are looking at specific, countable amounts.