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Video id:  #2997 (enlarge) 
Post date:  10/19/2013 
Posted by:  tagraf 
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Horizontal Asymptote

Definition: The graph becomes closer and closer to the horizontal axis as it moves left, then the xaxis is a horizontal asymptote for the lefthand portion of the graph.
Source: "Precalculus" by David H. Collingwood, K. David Prince, and Matthew M. Conroy at University of Washington

Example: http://www.analyzemath.com/Graphing/rational6.gif
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