Question

Comparing Domain and Range: Which sets of values belong to the domain and range of a relation?

The set of __________ values corresponds to the domain.
a) Output
b) Domain
c) Input
d) Independent variable

Answer 1

The domain of a relation consists of the independent variables or the input values, which in the examples given are possible majors, number of classes taken, and the range of money spent on books.

Step-by-step explanation:

The set of values that belong to the domain of a relation are the independent variables or input values. In the context of the given examples:

• The domain of X (student's major) would be all the possible majors offered.
• The domain of Y (number of classes taken) would be the possible number of classes a student could take.
• The domain of Z (amount spent on books) would likely be the range of money values a student could reasonably spend on books.

X, Y, and Z are random variables because they can take on different values in different situations or among different individuals. A value of z = -7 for the amount of money spent is not a reasonable value, since it's impossible to spend a negative amount on books. The two essential characteristics of a discrete probability distribution are that each probability is between 0 and 1, and the sum of all probabilities is 1.