The graph you've uploaded shows the relationship between time (in hours) and distance (in miles). To determine if this graph represents a function, we apply the vertical line test.

• If any vertical line drawn on the graph intersects the curve more than once, then the graph does not represent a function.
• From the graph, we can observe that at least one vertical line intersects multiple points (for example, at time = 1 hour, multiple distances are plotted).

Since there are multiple distance values for the same time, the graph does not represent a function.

Would you like further clarification or an explanation of the vertical line test? Let me know if you have any questions.

Here are some related questions to consider:

1. How do we apply the vertical line test to other types of graphs?
2. Can a graph represent a function even if it has some points with multiple values?
3. What are other ways to determine if a graph represents a function without drawing vertical lines?
4. How does the definition of a function relate to real-life examples (like distance over time)?
5. Why is the vertical line test so important in determining if a graph is a function?

Tip: When analyzing graphs for functions, always remember the rule that each input (x-value) must correspond to only one output (y-value) in a function.