Question

1. which of these relations is a function?

Explanation:

Step1: Recall vertical line test

A relation is a function if any vertical line drawn intersects the graph at at most one point (each x-value maps to only one y-value).

Step2: Test top-left graph

A vertical line would cross two points here → not a function.

Step3: Test top-right graph

All vertical lines cross at most one point → passes test.

Step4: Test bottom-left graph

All vertical lines cross at most one point → passes test.

Step5: Test bottom-right graph

A vertical line would cross two points here → not a function.

Answer:

The top-right graph and bottom-left graph are functions.