Which statement describes the range of a relation?

Which statement describes the range of a relation?

• A. The set of x-values
• B. The set of y-values
• C. The ordered pairs
• D. The range

Answer: (B)

Range is the set of y-values that the relation can produce. In any relation, each ordered pair has an x-coordinate and a y-coordinate. The x-values across all pairs form the domain, while the y-values across all pairs form the range. The range collects all possible outputs (as a set, so repeated y-values only appear once). For example, if the relation has pairs like (−2,5), (0,3), and (1,5), the range is {3, 5}. That’s why describing the range as the set of y-values is the correct understanding.

Range is the set of y-values that the relation can produce. In any relation, each ordered pair has an x-coordinate and a y-coordinate. The x-values across all pairs form the domain, while the y-values across all pairs form the range. The range collects all possible outputs (as a set, so repeated y-values only appear once). For example, if the relation has pairs like (−2,5), (0,3), and (1,5), the range is {3, 5}. That’s why describing the range as the set of y-values is the correct understanding.