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October 22, 2025, 07:07:26 pm
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Author Topic: a specific question of a graph?  (Read 621 times)  Share 

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mano91

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a specific question of a graph?
« on: October 29, 2009, 12:01:29 pm »
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the graph is y=x/(x^2+1)

even though there is an x intercept, is y=0 an assymptote?
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kamil9876

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Re: a specific question of a graph?
« Reply #1 on: October 29, 2009, 12:24:55 pm »
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  (edit: when x is positive of course)

as x approaches infinity, so does the denominator hence yes, y=0 is an assymptote.
« Last Edit: October 29, 2009, 12:37:14 pm by kamil9876 »
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Voltaire: "There is an astonishing imagination even in the science of mathematics ... We repeat, there is far more imagination in the head of Archimedes than in that of Homer."

mano91

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Re: a specific question of a graph?
« Reply #2 on: October 29, 2009, 02:58:38 pm »
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it is quite strange how assymptotes can be crossed...
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