To match the graph with the correct domain and range, I'll need some clarification on the points you've mentioned since it's a bit unclear. However, based on the information provided, it seems you are dealing with a graph that has specific characteristics regarding its domain and range.
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Domain: x = 0
- This indicates that the graph is defined only at the vertical line where \(x = 0\). This situation suggests that the graph might be a vertical line or a point that exists on the y-axis.
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Range: y = -2
- This suggests that the output (or y-value) of the graph is constantly equal to \(-2\), indicating a horizontal line at \(y = -2\), or a single point located at \((0, -2)\).
Possible Interpretations:
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If the graph represents a vertical line along \(x = 0\) (the y-axis), the range would be all real numbers because it would extend infinitely in the positive and negative direction along the y-axis. In that case, while the domain \(x = 0\) holds, the range cannot be simply \(-2\).
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Alternatively, if the graph is just a point at (0, -2), the domain is {0} (a single point), and the range is also {-2}.
In conclusion, based on your description:
- Domain: \(x = 0\)
- Range: \(y = -2\)
This strongly suggests you may have a single point at (0, -2) as the graph. If you have a specific graph in mind, a clearer description or image would help in making a more accurate match and analysis.
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