The question asks whether the given graph represents a function and how you can determine that. To decide, we use the Vertical Line Test, which states:

• If any vertical line crosses the graph at more than one point, then the graph is not a function.

Analysis of the Graph:

1. Observe the graph: It forms two red line segments that meet at a "V" shape.
2. If we were to draw a vertical line anywhere along the graph (e.g., near the vertex), there is a chance the line would intersect the graph at two points.
3. This fails the Vertical Line Test, meaning the graph does not represent a function.

Correct Answer:

• A. No; the graph fails the vertical line test.

Let me know if you'd like me to explain the Vertical Line Test further or clarify why this graph fails!

Here are 5 related questions to explore:

1. What is the Vertical Line Test, and why is it important in determining functions?
2. How do you determine the domain and range of a graph like this?
3. Can a graph with sharp turns (like this one) ever pass the Vertical Line Test?
4. What are some examples of graphs that always represent functions?
5. How do you identify a function algebraically instead of graphically?

Tip: For any graph, always test for a function by imagining vertical lines crossing it! If even one line intersects at multiple points, the graph does not represent a function.