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

Explanation:

Step1: Recall function definition

A function has at most one - y - value for each x - 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 each graph

For the first graph, there are no two points with the same x - coordinate and different y - coordinates. For the second graph, there are points with the same x - coordinate and different y - coordinates (e.g., vertical line at some x - values will intersect multiple points). The third graph also has points where a vertical line will intersect multiple points. The fourth graph has the same issue.

Answer:

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