Find vertical and horizontal asymptotes of a rational function

The video tutorial covers key concepts in understanding polynomial degrees, focusing on the importance of arranging polynomials in descending order. It explains horizontal asymptotes when the degree of the denominator is larger than the numerator. The tutorial also delves into vertical asymptotes, emphasizing the need to set the denominator to zero and identify holes through factoring. It highlights the irrelevance of complex solutions for real vertical asymptotes. Finally, the video discusses finding X and Y intercepts in rational functions, including handling square roots and the absence of a Y intercept when division by zero occurs.

What is the significance of the degree of the polynomial in the numerator and denominator when determining horizontal asymptotes?

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Explain how to find vertical asymptotes in a rational function.

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What are holes in a rational function, and how do they differ from vertical asymptotes?

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How do you determine the x-intercepts of a rational function?

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Why is there no y-intercept for the given rational function?

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