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 x/(x^2-4) as x approaches infinity. Participants clarify that end behavior refers to how the function behaves as x becomes very large or very small. The graph indicates that as x approaches positive or negative infinity, the function approaches zero. The conversation emphasizes understanding the relationship between the function and the x-axis in determining this behavior. Overall, the analysis aims to clarify how the function's values change at extreme x values.
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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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