Properties of Rational Functions and Expressions Video 2
Finding horizontal asymptotes for rational functions
Properties of Rational Functions and Expressions Video 4
Author: John Fisk
This video explains the three possible scenarios for horizontal asymptotes of rational functions and then solves the following problems. You can try to solve the problems before watching the video and click "Reveal Answer" to see if you are correct.
Problem: Find the horizontal asymptotes for the following rational functions:
- \(y=f(x)=\dfrac{5-6x^4}{8x^7-19x^2}\)
- \(y=f(x)=\dfrac{14+3x^9-10x^5}{15x^9-7x^3+32}\)
- Horizontal Asymptote of \(y=0\) as \(x\rightarrow \pm \infty\)
- Horizontal Asymptote of \(y=\dfrac{1}{5}\) as \(x\rightarrow \pm \infty\)
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Explaining the format and possible solutions for a system of two linear equations