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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://math.libretexts.org › Bookshelves › Algebra › Intermediate_Algebra_(Arnold) › 07...
7.1: Introducing Rational Functions - Mathematics LibreTextsLearn what rational functions are, how to write them as quotients of polynomials, and how to graph them. See examples of rational functions with different degrees, factors and behaviors, and how to identify their features.
https://www.cuemath.com › calculus › rational-function
Rational Function - Graph, Domain, Range, Asymptotes - CuemathLearn what a rational function is, how to identify it, and how to graph it. Find out the domain, range, and asymptotes of a rational function with examples and practice problems.
https://www.khanacademy.org › math › algebra-2-fl-best › x727ff003d4fc3b92:rational-functions
Rational functions - Khan AcademyUnit 11: Rational functions. Our mission is to provide a free, world-class education to anyone, anywhere. Khan Academy is a 501 (c) (3) nonprofit organization. Donate or volunteer today!
https://thirdspacelearning.com › us › math-resources › topic-guides › algebra › rational-functions
Rational Functions - Math Steps, Examples & QuestionsLearn how to simplify, add, subtract, multiply and divide rational functions, which are fractions with polynomials as numerators and denominators. See examples, graphs and worksheets for Algebra 1 and higher math levels.
https://www.symbolab.com › study-guides › boundless-algebra › rational-functions.html
Study Guide - Rational Functions - Symbolabrational function: Any function whose value can be expressed as the quotient of two polynomials (where the polynomial in the denominator is not zero). singularities: The [latex]x[/latex]-values at which a rational function is not defined, for which the denominator [latex]Q(x)[/latex] is zero.
https://math.libretexts.org › Courses › Cosumnes_River_College › Math_370:_Precalculus › 04...
4.1: Introduction to Rational Functions - Mathematics LibreTextsLearn how to define, simplify, and graph rational functions, which are ratios of polynomial functions. See examples of finding the domain and writing rational functions in the form \\frac {p (x)} {q (x)}.
https://www.symbolab.com › study-guides › precalcone › rational-functions.html
Study Guide - Rational Functions - SymbolabLearn how to use arrow notation, solve applied problems, find domains, and graph rational functions. See examples of vertical and horizontal asymptotes, and how to identify them from the graph.
https://www.wolframalpha.com › examples › mathematics › algebra › rational-functions
Rational Functions - Wolfram|AlphaRational Functions. Rational functions are functions that involve a quotient of polynomial expressions. While rationals share many properties with polynomials, there are some unique aspects that arise due to the division of polynomials, such as asymptotes and singularities.
https://www.math.net › rational-function
Rational function - Math.netA rational function is a function made up of a ratio of two polynomials. Learn the form, the parent function, and the types of asymptotes of rational functions with an example and a graph.
