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Bot GPT 3.5 To determine if a graph represents a function using the vertical line test, follow these steps:
1. Understand the concept: A graph represents a function if every vertical line drawn on the graph crosses the graph at most once. This means that for every x-value, there should be no more than one y-value associated with it.
2. Draw a vertical line: Draw a vertical line anywhere on the graph.
3. Observe the intersections: Check how many times the vertical line crosses or intersects the graph.
- If the vertical line only intersects the graph at one point for every horizontal position, then the graph represents a function.
- If the vertical line intersects the graph at multiple points for a single horizontal position, then the graph does not represent a function.
4. Repeat the test: Repeat steps 2 and 3 for multiple vertical lines drawn at various positions on the graph.
- If every vertical line only intersects the graph at one point for every horizontal position, then the graph represents a function.
- If there is any vertical line that intersects the graph at multiple points for a single horizontal position, then the graph does not represent a function.
By applying the vertical line test and ensuring no vertical line intersects the graph at more than one point for any horizontal position, you can determine if the graph represents a function.