How Does the Function x/(x^2-4) Behave at Infinity?

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The discussion focuses on the end behavior of the function f(x) = x/(x^2 - 4) as x approaches infinity. It is established that the end behavior relates to the horizontal asymptote of the graph, which is determined by the degrees of the polynomial in the numerator and denominator. As x approaches positive or negative infinity, the function approaches 0, indicating that the end behavior is horizontal along the x-axis. This conclusion is supported by analyzing the limits of the function as x approaches infinity.

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soggybread
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Hi I've got a little question regarding the end bevhoir of this graph, x/(x^2-4)

http://img20.imageshack.us/img20/5609/end7ht.jpg

I think that determining the end behavoir is in relation to the x axis. So would the end bevhoir of the graph be from negative to postitive? (-/+)

Thanks for your time!

Jason
 
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What do you mean by "end behavior"?
 

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