https://mathmonks.com › rational-function
Rational Function – Definition, Equations, and Examples - Math MonksA function of a real variable x, say f (x), is a rational function if it can be represented as: f (x) = p (x) q (x), here p (x), q (x) are polynomials in x with q (x) ≠ 0. For example, f (x) = 3 x + 5 x 2 − x − 2, is a rational function where the denominator x 2 – x – 2 ≠ 0.
https://en.wikipedia.org › wiki › Rational_function
Rational function - WikipediaA rational function is a function that can be defined by a rational fraction, which is an algebraic fraction with polynomial numerator and denominator. Learn about the definitions, degrees, examples, and applications of rational functions in mathematics and complex analysis.
https://www.cuemath.com › calculus › rational-function
Rational Function - Graph, Domain, Range, Asymptotes - CuemathA rational function is a ratio of polynomials where the denominator is not a constant. Learn how to identify, graph, and find the domain, range, and asymptotes of rational functions with examples and FAQs.
https://www.khanacademy.org › math › precalculus › x9e81a4f98389efdf:rational-functions
Rational functions - Khan AcademyPrecalculus 10 units · 131 skills. Unit 1 Composite and inverse functions. Unit 2 Trigonometry. Unit 3 Complex numbers. Unit 4 Rational functions. Unit 5 Conic sections. Unit 6 Vectors. Unit 7 Matrices. Unit 8 Probability and combinatorics.
https://math.libretexts.org › Bookshelves › Algebra › Intermediate_Algebra_(Arnold) › 07...
7.1: Introducing Rational Functions - Mathematics LibreTextsDefinition: Rational Functions. A rational function is a function that can be written as a quotient of two polynomial functions. In symbols, the function \[f(x)=\frac{a_{0}+a_{1} x+a_{2} x^{2}+\cdots+a_{n} x^{n}}{b_{0}+b_{1} x+b_{2} x^{2}+\cdots+b_{m} x^{m}} \nonumber \] is called a rational function.
https://www.math.net › rational-function
Rational function - Math.netA rational function is a function made up of a ratio of two polynomials. Learn how to identify and transform rational functions, and what are vertical and horizontal asymptotes.
https://mathhints.com › advanced-algebra › rational-functions
Rational Functions, Equations, and Inequalities - mathhints.comRational Functions are just a ratio of two polynomials (expression with constants and/or variables), and are typically thought of as having at least one variable in the denominator (which can never be 0). Note that we talk about how to graph rationals using their asymptotes in the Graphing Rational Functions, including Asymptotes section.
https://math.libretexts.org › Courses › Cosumnes_River_College › Math_370:_Precalculus › 04...
4.1: Introduction to Rational Functions - Mathematics LibreTextsA rational function is a function that is the ratio of polynomial functions. Learn how to find the domain, simplify, and graph rational functions, and how to identify horizontal, vertical, and slant asymptotes.
https://math.libretexts.org › Courses › Monroe_Community_College › MTH_165_College_Algebra...
3.9: Rational Functions - Mathematics LibreTextsA rational function’s end behavior will mirror that of the ratio of the leading terms of the numerator and denominator functions. Graph rational functions by finding the intercepts, behavior at the intercepts and asymptotes, and end behavior.
https://www.storyofmathematics.com › rational-function
Rational function – Properties, Graphs, and ApplicationsA rational function is a function that contains polynomials in both numerator and denominator. Learn how to evaluate, find zeros, solve equations, and graph rational functions with examples and practice problems.
