Diving into Rational Functions: Understanding Domains

In this video, I dive deep into rational functions, focusing on how to determine their domain and identify vertical asymptotes. I emphasize the importance of avoiding division by zero and how it plays a crucial role in determining the domain of a rational function. I also touch upon the structure of polynomials and their role in rational functions. By the end of this video, you'll have a clear understanding of rational functions, their domains, and the concept of vertical asymptotes. Let's dive in!

Chapters:
0:00 What is a Rational Function?
0:45 Structure of Polynomials
1:56 Factoring Polynomials
4:58 Defining the Domain of Rational Functions
6:08 Identifying Vertical Asymptotes
8:31 Example: Finding the Domain and Vertical Asymptotes
15:00 Difference between Holes and Vertical Asymptotes
17:00 Conclusion and Recommendations
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