Determine the vertical and oblique asymptotes

The video tutorial explains how to find vertical, horizontal, and slant asymptotes in rational functions. It begins with identifying vertical asymptotes by setting the denominator to zero. The absence of horizontal asymptotes is discussed when the degree of the numerator is greater than the denominator, leading to the need for slant asymptotes. The tutorial demonstrates using long division to find slant asymptotes, emphasizing the importance of understanding the process over synthetic division. The final slant asymptote is determined, and its role in graphing the function is highlighted.

Describe the process of long division as it applies to finding asymptotes.

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What is the final expression for the slant asymptote derived from the example given?

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