which graph shows a set of ordered pairs that represents a function?

Explanation:

Step1: Recall function definition

A relation is a function if for each input (x - value) there is exactly one output (y - value). We can use the vertical - line test. If a vertical line drawn anywhere on the graph intersects the graph at most once, then the graph represents a function.

Step2: Analyze first graph

In the first graph, for each x - value in the domain of the set of ordered pairs, there is exactly one y - value. No vertical line will intersect the graph at more than one point.

Step3: Analyze second graph

In the second graph, there are x - values for which there are multiple y - values. For example, a vertical line drawn at some x - positions will intersect the graph at more than one point.

Answer:

The first graph shows a set of ordered pairs that represents a function.