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Answer:
Graph 1
Step-by-step explanation:
To determine which of the graphed relations is a function, we can perform the vertical line test.
The vertical line test is a graphical method used to determine if a graphed relation represents a function. To perform the vertical line test, move a vertical line from left to right and observe how many times it intersects the graph.
The only relation that passes the vertical line test is the first graph, which confirms it as a valid function. (Note that open dots indicate excluded points, while closed dots indicate included points).
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Additional Information
Graph 2: The vertical line x = 0 intersects the graph at two points. Therefore, this relation fails the vertical line test, and as a result, it cannot be classified as a function.
Graph 3: The vertical line x = -1.5 intersects the graph at two points. Therefore, this relation fails the vertical line test, and as a result, it cannot be classified as a function.
Graph 4: The vertical line x = 0 intersects the graph at three points. Therefore, this relation fails the vertical line test, and as a result, it cannot be classified as a function.
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