Option A is correct. The graph does not represent a function because it fails the vertical line test. This test ensures that each x-value corresponds to only one y-value, and the graph violates this criterion.
Option A is correct. The graph does not show a function because it fails the vertical line test. In a function, each input (x-value) should correspond to only one output (y-value).
The vertical line test checks this criterion by verifying that a vertical line intersects the graph at most once. If a vertical line intersects the graph at multiple points, it indicates that there are y-values associated with more than one x-value, violating the one-to-one correspondence required for a function.
Therefore, the correct choice is A, stating that the graph does not pass the vertical line test.