How to find the equation of horizontal asymptote?
Understand the Problem
The question is asking for a method to determine the equation of a horizontal asymptote for a function, which typically involves analyzing the behavior of the function as the input approaches infinity or negative infinity.
Answer
y = c
The final answer is y = c
Answer for screen readers
The final answer is y = c
More Information
The value c is determined by the degrees of the polynomials in the rational function. It will depend on whether the degree of the numerator and denominator are equal, which gives y = a/b, or if the degree of the denominator is greater, which gives y = 0.
Tips
Confusing horizontal asymptotes with vertical asymptotes and polynomial degrees can lead to mistakes.
Sources
- Find a Function's Horizontal Asymptotes - Free Math Help - freemathhelp.com
- How to find the equation of a horizontal asymptote - Quora - quora.com
- Horizontal Asymptotes | Equations & Examples - Lesson - Study.com - study.com
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