Finding All Asymptotes of a Rational Function: Vertical, Horizontal, and Slant/Oblique
In this video, we explore how to find all types of asymptotes of a rational function, including vertical, horizontal, and slant/oblique asymptotes. The function we analyze in the example has a vertical asymptote and a slant asymptote. We also show that no horizontal asymptotes exist for this function. Using polynomial long division, we derive the equation of the slant asymptote, demonstrating step-by-step how to work through these concepts in calculus.
What You Will Learn:
How to identify and find vertical asymptotes of a rational function.
Understanding when horizontal asymptotes do or do not exist.
Identifying when a slant/oblique asymptote exists.
Using polynomial long division to find the equation of a slant asymptote.
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