https://file.aiquickdraw.com/mathbot/file/17259716839171yojm1z9.jpg

Looking at the graph you provided, we can determine whether the relation is a function by using the **vertical line test**. According to this test, a relation is a function if and only if no vertical line intersects the graph at more than one point.

In this graph, each vertical line passes through at most one point. Therefore, **yes**, this relation is a function.

Would you like more details or have any further questions?

Here are some related questions for further exploration:
1. How do you apply the vertical line test in more complex graphs?
2. What is the difference between a function and a relation?
3. Can a function have two or more points with the same \( y \)-value?
4. What is a domain and how does it relate to functions?
5. How do you graph a function from a set of ordered pairs?

**Tip**: Always remember that a function assigns exactly one output (y-value) for each input (x-value).

Learn how to determine if a given relation is a function by applying the vertical line test. This problem involves analyzing a graph and understanding functions. Suitable for students in Grades 8-10.

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