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).