This graph appears to show a curve that fails the vertical line test, meaning it is not the graph of a function.

The vertical line test states that if any vertical line drawn through the graph intersects the curve at more than one point, the curve is not the graph of a function. In this image, vertical lines can intersect the curve in more than one place (e.g., near $x = -2$ and $x = 2$). Therefore, this is not the graph of a function.

Would you like further details or any clarifications on this concept?

Related Questions:

1. What is the vertical line test, and why is it important?
2. How do we determine if a relation is a function?
3. Can you provide examples of graphs that represent functions?
4. What is the difference between functions and relations in mathematics?
5. How would this graph change to become a function?

Tip:

When identifying functions, remember that each input (x-value) must correspond to exactly one output (y-value).