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Chapter 3: Problem 108

What is a rational function?

Short Answer

Expert verified
A rational function is a function representable as a ratio of two polynomial functions where the denominator is not equal to zero.

Step by step solution

01

Description of Rational Function

A rational function is a function which can be expressed as the ratio of two polynomial functions. Both the numerator and the denominator are polynomials.
02

Understanding Rational Function

In general, a rational function \( f(x) \) can be noted as \( f(x) = \frac{p(x)}{q(x)} \) where \( p(x) \) and \( q(x) \) are polynomial functions and \( q(x) \) is not equal to zero.
03

Features of Rational Function

Rational functions represent a special class of mathematical functions. They can have any real number as input, but cannot accept any number that would make the denominator equal to zero since division by zero is undefined.

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