Question
Which statement best illustrates using the vertical line test to determine if the graph below is a function of x?
On a coordinate plane, a circle is centered around (0, 0).
The graph is not a function of x because the line x = 0 intersects the graph at two points.
The graph is a function of x because the line x = 5 does not intersect the graph.
The graph is not a function of x because the line y = 0 intersects the graph at two points.
The graph is a function of x because the line y = 5 does not intersect the graph.
On a coordinate plane, a circle is centered around (0, 0).
The graph is not a function of x because the line x = 0 intersects the graph at two points.
The graph is a function of x because the line x = 5 does not intersect the graph.
The graph is not a function of x because the line y = 0 intersects the graph at two points.
The graph is a function of x because the line y = 5 does not intersect the graph.
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GPT-4o mini
The best statement that illustrates using the vertical line test to determine if the graph is a function of x is:
**"The graph is not a function of x because the line x = 0 intersects the graph at two points."**
This statement accurately reflects the vertical line test, which states that if any vertical line intersects the graph at more than one point, then the graph does not represent a function of x. Since the graph described is a circle centered at (0, 0), the vertical line x = 0 (the y-axis) would intersect the circle at two points, indicating that for that x-value, there are two corresponding y-values. Therefore, the graph is not a function of x.
**"The graph is not a function of x because the line x = 0 intersects the graph at two points."**
This statement accurately reflects the vertical line test, which states that if any vertical line intersects the graph at more than one point, then the graph does not represent a function of x. Since the graph described is a circle centered at (0, 0), the vertical line x = 0 (the y-axis) would intersect the circle at two points, indicating that for that x-value, there are two corresponding y-values. Therefore, the graph is not a function of x.
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