How to determine the horizontal asymptote of a rational function
In short: Understanding the end behavior of rational functions is key to finding their horizontal asymptotes. This video explains how to analyze these functions as they approach positive and negative infinity, providing a foundational skill for precalculus students.
The process involves examining the behavior of a rational function as the input values grow increasingly large in both the positive and negative directions. By identifying this end behavior, one can determine the horizontal asymptote, which represents the value the function approaches but does not necessarily reach.
This approach is part of the broader educational resources provided by Khan Academy, a nonprofit reaching 15 million monthly learners worldwide. Mastering these limits is essential for understanding the long-term trends of mathematical models.
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Sources
- Summary by Intellect · source: Analyzing horizontal asymptotes of rational functions | Precalculus | Khan Academy
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