Final answer:
The domain and range of a function are sets of possible input and output values respectively. In the given practice test solutions, domains are specific to the scenario (majors, number of classes, amount of money), while the range of a function like f(x) would correspond to the y-values within the domain interval on the x-axis. Random variables have domains determined by possible outcomes or collected data.
Step-by-step explanation:
The domain of a function refers to all the possible input values (x-values), while the range refers to all possible output values (y-values) that the function can take.
In the context of the student's practice test solutions, different discrete random variables (X, Y, Z) have different domains.
For instance, the domain of X, representing a student's major, is the list of all majors offered at the university.
The domain of Y, representing the number of classes taken, is the set of integer numbers from zero to the upper limit set by the university. Similarly, the domain of Z, representing the amount of money spent on books, is any amount of money from zero upwards.
For the function f(x) mentioned, defined for 0 ≤ x ≤ 20, with f(x) being a horizontal line, the domain is indeed from 0 to 20.
The corresponding range would simply be the y-value that the horizontal line represents, fitting within the interval of the function's domain on the x-axis.
Random variables like X, Y, and Z are considered such because their values are determined by chance and depend on the outcomes of certain experiments, events, or measurements.
Each random variable can take on any value within its domain, which is not fixed until an event occurs or data is collected.
The range of Z would not include negative values because it represents money spent, which cannot be negative in this context.
The complete question is:content loaded
What is the domain and range of the function?
1) Domain: [0, 6], Range: [-6, 6]
2) Domain: [-6, 6], Range: [0, 6]
3) Domain: [-6, 6], Range: [0, 12]
4) Domain: [0, 12], Range: [-6, 6]