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Q: What part of the graph is it when the x-axis and the y-axis cross?
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Why is it okay for a graph to cross one of its's horizontal asymptotes?

There is nothing in the definition of "asymptote" that forbids a graph to cross its asymptote. The only requirement for a line to be an asymptote is that if one of the coordinates gets larger and larger, the graph gets closer and closer to the asymptote. The "closer and closer" part is defined via limits.


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A cluster in a line graph is the major part of the line graph that connects to the plot.


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