Which statement is true about the range of a relation?

Which statement is true about the range of a relation?

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

Answer: (A)

The main idea is telling apart inputs and outputs in a relation. The range is the collection of all y-values that actually occur with the x-values in the relation. For example, if the relation includes (1, 2), (2, 4), and (1, 5), the y-values that appear are 2, 4, and 5, so the range is {2, 4, 5}. The set of x-values is the domain, not the range. The set of ordered pairs is the relation itself, not the range. The vertical axis refers to the y-axis on a graph, which is where y-values are plotted, not the range as a set.

The main idea is telling apart inputs and outputs in a relation. The range is the collection of all y-values that actually occur with the x-values in the relation. For example, if the relation includes (1, 2), (2, 4), and (1, 5), the y-values that appear are 2, 4, and 5, so the range is {2, 4, 5}. The set of x-values is the domain, not the range. The set of ordered pairs is the relation itself, not the range. The vertical axis refers to the y-axis on a graph, which is where y-values are plotted, not the range as a set.