The graph shown is a circle, and the question is asking whether the relation represented by this circle is a function.

In mathematics, a function is defined as a relation where each input (or x-value) has exactly one output (or y-value). To determine if a graph represents a function, we can use the Vertical Line Test: if a vertical line passes through more than one point on the graph, then the graph does not represent a function.

For a circle, any vertical line drawn through the center will intersect the graph at two points. This means that for some x-values, there are two corresponding y-values. Hence, the relation is not a function.

The answer is: No, this relation is not a function.

Do you want further clarification or more details?
Here are some related questions to consider:

1. What is the equation of a circle in general form?
2. How does the Vertical Line Test work for different shapes?
3. Can a relation be a function if the graph is a closed curve?
4. What distinguishes a function from a general relation?
5. How can we modify a circle equation to make it a function?

Tip: When using the Vertical Line Test, always check across the entire graph to see if any vertical line crosses more than once.