Rational Functions Examples

Some examples of rational functions are as follows:

  • x+1/(x+2)
  • x2-1/(x2+1)
  • 3x/(x2-4)
  • x3/(x+8)
  • 2x/(1-4x)
  • 7x2/(8x3+4)

Rational Function

Rational Function is a type of function that is expressed as a fraction where both the numerator and denominator must be a polynomial and the denominator can never equal zero. Thus a rational function is similar to a fraction but the numerator and denominator are polynomial functions. In simple words, the rational function can be defined as the ratio of two polynomials. Rational functions find applications in various daily life problems and in various fields in life.

In this article, we shall discuss rational function in detail.

Table of Content

  • What are Rational Functions?
  • Properties of Rational Function
  • Simplifying Rational Functions
  • Operations On Rational Functions
  • Graphing Rational Functions

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What are Rational Functions?

Rational Function which is also called rational expression, is a mathematical expression that represents the ratio of two polynomial functions and the denominator here can never be 0. For example, two polynomial expressions i.e., 2x – 7 and 3x2; can form two rational expressions. One of which is 2x-7/3x2 and the other is 3x2/(2x-7). These functions are only defined when their denominator is non-zero....

Rational Functions Examples

Some examples of rational functions are as follows:...

Properties of Rational Function

A rational function has various properties which are as follows:...

Simplifying Rational Functions

In order to simplify the rational function, we need to reduce it to its lowest form. The steps to be followed are:...

Operations On Rational Functions

All the normal operations in mathematics can also be applied to rational functions. These basic operations are addition, subtraction, multiplication, and division. We will see how to perform these functions by considering two rational functions a/b and c/d....

Graphing Rational Functions

In order to graph a rational function we need to follow the below steps:...

Rational Functions Examples

Examples 1: Find the vertical asymptote of (x+1)/(2x+3)....

Practise Problems on Rational Functions

Problem 1: Simplify the rational expression:...

Rational Functions – FAQs

1. What do you Mean by Rational Function?...

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