How to identify vertical asymptotes in rational functions
In short: Learn to recognize the specific visual markers of discontinuities in a graph by analyzing the relationship between polynomials and their denominators.
This tutorial demonstrates how to select the correct graph for a rational function, such as f(x)=g(x)/(x²-x-6), by examining its discontinuities. It provides a practical approach to understanding how the structure of a function's denominator dictates its vertical asymptotes.
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Sources
- Summary by Intellect · source: Graphs of rational functions: vertical asymptotes | High School Math | Khan Academy
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