Questions: Look at this graph： Is this relation a function？ yes no

Transcript text: Look at this graph： Is this relation a function？ yes no

Solution

Solution Steps

Step 1: Understanding the concept of a function

A relation is a function if each input (x-value) corresponds to exactly one output (y-value). This is often described as the "vertical line test." If any vertical line intersects the graph more than once, the relation is not a function.

Step 2: Applying the vertical line test

In the given graph, we can see that any vertical line we draw will intersect the graph only once. For example, a vertical line at x=-2 will intersect the graph at y=2. A vertical line at x=0 will intersect the graph at y=0.

Step 3: Determining if the relation is a function

Since every vertical line intersects the graph only once, the relation passes the vertical line test.