The image you uploaded shows a graph of an ellipse. The question asks whether this relation is a function.

To determine if a relation is a function, you can use the vertical line test. If any vertical line intersects the graph at more than one point, the relation is not a function.

In this case, an ellipse fails the vertical line test because there are multiple points where a vertical line would intersect the ellipse. Therefore, this relation is not a function.

Would you like further details or clarifications?

Here are 5 related questions:

1. How can we use the vertical line test to determine if a graph is a function?
2. What defines a relation as a function in mathematical terms?
3. Can an ellipse be represented by a function if we split it into two parts?
4. What types of relations always qualify as functions?
5. How do you graph an ellipse algebraically?

Tip: To check if a graph represents a function, always apply the vertical line test—if any vertical line crosses more than once, it's not a function.