Properties of Rational Functions and Expressions Video 2
Finding horizontal asymptotes for rational functions
Properties of Rational Functions and Expressions Video 5
Author: John Fisk
This video explains the three possible scenarios for end behavior and horizontal asymptotes of rational functions and then solves the following problem. You can try to solve the problem before watching the video and click "Reveal Answer" to see if you are correct.
Problem: Find the end behavior and any horizontal asymptotes for the following rational function: \[y=f(x)=\dfrac{4x^5-7x^3+2x}{-8x^4+10x^2-5}\]
\(y\rightarrow \infty\) as \(x\rightarrow -\infty \) and \(y\rightarrow -\infty\) as \(x\rightarrow \infty\); No Horizontal Asymptote
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