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15 Apr 2020
End Behavior Graph the rational function
, and determine all vertical asymptotes from your graph. Then graph
and
in a sufficiently large viewing rectangle to show that they have the same end behavior.
![](data:image/png;base64,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)
End Behavior Graph the rational function , and determine all vertical asymptotes from your graph. Then graph
and
in a sufficiently large viewing rectangle to show that they have the same end behavior.
Deanna HettingerLv2
23 May 2020