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Asymptotes in Pre-Calculus
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1. Chapter 1 - Introduction to Asymptotes
- Asymptotes
- Vertical asymptotes
- Asymptotes
- Questions on asymptotes
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2. Chapter 2 - Asymptotes in Rational Functions
- Asymptotes for rational function
- Horizontal Asymptotes of Rational Functions
- Formal Limits for Vertical Asymptotes
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3. Chapter 3 - Asymptotes of Exponential Functions
- Exponential Asymptote
- Domain Range Asymptote Intercepts of Logarithmic Functions
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4. Chapter 4 - Asymptotes of Hyperbolic Functions
- Hyperbola
- Investigating Hyperbola
- Defining a Hyperbola
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Asymptotes in Pre-Calculus
dbond10, Sep 17, 2024

An overview of recognizing and determining asymptotes in rational functions, exponential functions, and hyperbolic functions
Table of Contents
- Chapter 1 - Introduction to Asymptotes
- Asymptotes
- Vertical asymptotes
- Asymptotes
- Questions on asymptotes
- Chapter 2 - Asymptotes in Rational Functions
- Asymptotes for rational function
- Horizontal Asymptotes of Rational Functions
- Formal Limits for Vertical Asymptotes
- Chapter 3 - Asymptotes of Exponential Functions
- Exponential Asymptote
- Domain Range Asymptote Intercepts of Logarithmic Functions
- Chapter 4 - Asymptotes of Hyperbolic Functions
- Hyperbola
- Investigating Hyperbola
- Defining a Hyperbola
Asymptotes
Explore the nature of asymptotes by looking at 5 different functions. Just click the button next to the function to display or hide its graph.
Asymptotes


Exponential Asymptote


Hyperbola
Hyperbola - a, b and c


This is a East-West Hyperbola. As you can see, the points A and A' are the vertices of the Hyperbola, C and C' are the foci of the Hyperbola, B and B' are the heights of the fundamental box from the centre of the Hyperbola.
Move ONLY the 2nd and the 4th slider to see how increasing the values affect the hyperbola :)
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