To determine whether the given graph represents a function, we can apply the vertical line test. This test states that for a graph to represent a function, any vertical line drawn through the graph must intersect it at no more than one point.

In the provided graph:

• The black dots appear to represent points on a coordinate plane.
• If we imagine vertical lines through the $x$-values of these points, we need to check if any of these lines intersect the graph at more than one point.

Let's analyze the points:

• There are no vertical lines that intersect more than one point. Therefore, each $x$-value has only one corresponding $y$-value.

Since no vertical line passes through more than one point on the graph, the graph does represent a function.

Would you like a more detailed explanation, or do you have any questions?

Here are 5 related questions you might want to explore:

1. How does the vertical line test work for more complex graphs?
2. What are the differences between functions and relations?
3. How do you determine the domain and range of a function from its graph?
4. What happens if a vertical line intersects more than one point on the graph?
5. How can you express the points on this graph algebraically?

Tip: A function maps each input to exactly one output; the vertical line test helps verify this visually.