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12TH•Mathematics•Graphical Representation Of Functions•1.4 Rational Functions and Asymptotes

Introduction

Analyzing domain, vertical asymptotes, horizontal and oblique asymptotes, and removable discontinuities.

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Introduction

A rational function is a ratio of two polynomials:

R(x)=P(x)Q(x),Q(x)≠0R(x) = \frac{P(x)}{Q(x)}, \quad Q(x) \neq 0

Because the denominator cannot equal zero, rational functions frequently exhibit asymptotic behavior and discontinuities.

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