SOLUTION: If as x approaches positive and negative infinity, the output approaches 5, we say that this rational function has a __ asymptote and its equation is ___ = ____.

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Question 1175922: If as x approaches positive and negative infinity, the output approaches 5, we say that this rational function has a __ asymptote and its equation is ___ = ____.
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
If the values are getting arbitrarily close to some finite value as or , the graph of approaches the line . In that case, the line is a asymptote of .
so, in your case
If as approaches positive and negative infinity, the output approaches , we say that this rational function has a asymptote and its equation is .

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