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Understanding Rational Functions and Discontinuities: Asymptotes Explained

This comprehensive guide explores the concept of rational functions, including definitions and characteristics. Learn what a point of discontinuity is, and differentiate between removable and non-removable discontinuities. Get a clear understanding of asymptotes, focusing on vertical, horizontal, and slant asymptotes, and how they relate to the graph of a rational function. Whether you’re a student or simply curious about mathematics, this resource will enhance your understanding of these key concepts in algebra and calculus.

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Understanding Rational Functions and Discontinuities: Asymptotes Explained

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    1. Rational Functions What is a rational function? What is a point of discontinuity? What is the difference between a removable and non-removable discontinuity? What is an asymptote? What is a vertical asymptote? What is a horizontal asymptote? What is a slant asymptote?

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