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 ___ = ____.

Algebra ->  Polynomials-and-rational-expressions -> 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 ___ = ____.       Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
If the values f%28x%29 are getting arbitrarily close to some finite value +L as +x+-%3E+infinity or +x+-%3E+-infinity, the graph of f%28x%29 approaches the line y=L. In that case, the line +y=L is a +horizontal asymptote of f%28x%29.
so, in your case
If as x approaches positive and negative infinity, the output approaches 5, we say that this rational function has a +horizontal asymptote and its equation is y=5.