Answer
If the function is not given, estimate the horizontal asymptote from the graph (the y-value that the end behavior approaches). If the function is given, use the following rules down below.
Work Step by Step
The horizontal asymptote is a line $y=k$ that the end behavior of a graph approaches but does not reach. However, the horizontal asymptote may be touched or crossed at smaller values of $x$.
If the function is not given, estimate the horizontal asymptote from the graph (the $y$-value that the end behavior approaches). If the function is given, use the following rules:
1. If the numerator's degree is less than the denominator's degree, then the horizontal asymptote is $y = 0$.
2. If the numerator's degree is equal to the denominator's degree, then the horizontal asymptote is $y = c$, where $c$ is the ratio of the leading terms of the the numerator and the denominator.
3. If the numerator's degree is more than the denominator's degree, then there is no horizontal asymptote.
