To identify if a graph represents a function or not, we can use the Vertical Line Test:

• Function: A graph represents a function if no vertical line intersects the graph at more than one point.
• Not a Function: A graph fails the test if a vertical line can intersect the graph at more than one point.

Here are the results based on the image:

1. Top-left: Passes the vertical line test → Function.
2. Top-center: Passes the vertical line test → Function.
3. Top-right: Passes the vertical line test → Function.
4. Bottom-left: Passes the vertical line test → Function.
5. Bottom-center: Passes the vertical line test → Function.
6. Bottom-right: Fails the vertical line test (circle shape) → Not a Function.

Let me know if you have further questions or need more clarification!

Questions to Expand:

1. What is the vertical line test, and why does it work for identifying functions?
2. Can a graph represent a function and still appear unusual (e.g., piecewise)?
3. How would the horizontal line test help identify one-to-one functions?
4. What are common scenarios where graphs fail to represent functions?
5. How can graph transformations affect the "functionality" of a graph?

Tip:

Always visualize or sketch the graph of an equation to apply the vertical line test effectively!