Yes
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No vertical line will intersect the graph in more than one point. The fundamental flaw is that no graph can show that it does not happen beyond the domain of the graph.
In simple terms, if a vertical line meets a graph in more than one place it is not a function.
If a vertical line intersects the graph at more than one point then it is not a function.
It can do.
y = (some function of x). Since you've not given us the graph no-one can be any more helpful than that!