Question
Jacob applied the vertical line test using a blue marker to the graph below. Did he do it correctly?
A line is graphed on the coordinate plane. A blue line is drawn vertically over the graphed line.
A line is graphed on the coordinate plane. A blue line is drawn vertically over the graphed line.
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GPT-4o mini
To determine if Jacob applied the vertical line test correctly, we need to understand what the vertical line test is and how it applies to graphs.
The vertical line test states that if a vertical line intersects a graph at more than one point, then the graph does not represent a function. In other words, for every x-value in the graph, there should be only one corresponding y-value.
If Jacob drew a vertical line over the graphed line and it only touched the graph at one point (or didn't touch it at all), he correctly applied the vertical line test, indicating that the graph represents a function. However, if the vertical line intersected the graph at more than one point, then it would indicate that the graph does not represent a function.
So, to conclude if Jacob did it correctly depends on whether the vertical line intersected the graph at multiple points or not:
- **If it only intersected at one point:** Jacob applied the test correctly, and the graph is a function.
- **If it intersected at more than one point:** Jacob did not apply the test correctly, and the graph is not a function.
Without seeing the actual graph, I cannot definitively say whether he did it correctly or not. You would need to assess whether the vertical line intersected the graph at one point or multiple points to answer the question.
The vertical line test states that if a vertical line intersects a graph at more than one point, then the graph does not represent a function. In other words, for every x-value in the graph, there should be only one corresponding y-value.
If Jacob drew a vertical line over the graphed line and it only touched the graph at one point (or didn't touch it at all), he correctly applied the vertical line test, indicating that the graph represents a function. However, if the vertical line intersected the graph at more than one point, then it would indicate that the graph does not represent a function.
So, to conclude if Jacob did it correctly depends on whether the vertical line intersected the graph at multiple points or not:
- **If it only intersected at one point:** Jacob applied the test correctly, and the graph is a function.
- **If it intersected at more than one point:** Jacob did not apply the test correctly, and the graph is not a function.
Without seeing the actual graph, I cannot definitively say whether he did it correctly or not. You would need to assess whether the vertical line intersected the graph at one point or multiple points to answer the question.
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