The problem asks whether the given graph represents a function. The options explain whether a vertical line can be drawn that intersects the graph more than once, and whether that means the graph represents a function.
2025/3/6
1. Problem Description
The problem asks whether the given graph represents a function. The options explain whether a vertical line can be drawn that intersects the graph more than once, and whether that means the graph represents a function.
2. Solution Steps
A graph represents a function if and only if any vertical line drawn intersects the graph at most once. This is called the vertical line test.
Looking at the graph, we can see that any vertical line drawn will only intersect the graph once. Therefore, the graph represents a function.
We need to choose the answer that says "Yes" and "no vertical line can be drawn that intersects the graph more than once".
The vertical line test states that if any vertical line intersects a graph more than once, then the graph is not a function.
3. Final Answer
Yes, because no vertical line can be drawn that intersects the graph more than once.