The difference between a graph having a vertical asymptote
and a graph with a hole is that a vertical asymptote demonstrates where the
graph will approach in a certain number point. Also the graph can never cross
through a vertical asymptote. The graph may be close, but it never touches the
graph. A hole, in the other hand, demonstrates what point in the graph has an
open circle. Also when plugged into a graphing calculator and the hole is
traced there will be no y-value for it due to the hole that it has.
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