To determine if the given relation represents a function, we can use the vertical line test. This test states that if any vertical line drawn on the graph intersects the relation at more than one point, then it is not a function. If each vertical line intersects at only one point, then the relation is a function.

Analysis:

1. Observing the graph, no vertical line would intersect more than one point in any area of the plot.
2. Each $x$-value corresponds to only one $y$-value, which means that for every input $x$, there is a unique output $y$.

Conclusion:

This relation is a function because it passes the vertical line test.

Would you like further details or have any questions?

Additional Questions:

1. How does the vertical line test work for determining functions?
2. What are other ways to determine if a relation is a function?
3. What would the graph look like if this relation were not a function?
4. How can functions be represented differently (e.g., as equations, tables)?
5. What is the difference between a relation and a function?

Tip:

Remember, if any $x$-value corresponds to more than one $y$-value, the relation is not a function!