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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 of polynomials. Learn about the definitions, degrees, examples, Taylor series, and complex rational functions of rational functions.
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 its domain, range, and types of asymptotes with examples and practice problems.
https://www.khanacademy.org › math › precalculus › x9e81a4f98389efdf:rational-functions
Rational functions - Khan AcademyThe web page failed to load external resources on Khan Academy website. It suggests checking the web filter settings and refreshing the page, or contacting the support team if the problem persists.
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://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://openstax.org › books › college-algebra-2e › pages › 5-6-rational-functions
5.6 Rational Functions - College Algebra 2e - OpenStaxA rational function is a function that can be written as the quotient of two polynomial functions. Many real-world problems require us to find the ratio of two polynomial functions. Problems involving rates and concentrations often involve rational functions.
https://www.math.net › rational-function
Rational function - Math.netA rational function is a function made up of a ratio of two polynomials. Rational functions follow the form: In rational functions, P (x) and Q (x) are both polynomials, and Q (x) cannot equal 0. The parent function of rational functions is .
https://tutorial.math.lamar.edu › Classes › Alg › GraphRationalFcns.aspx
Algebra - Rational Functions - Pauls Online Math NotesLearn how to graph rational functions by finding intercepts, vertical and horizontal asymptotes, and regions. See examples, definitions, and a process for graphing rational functions.
https://math.libretexts.org › Courses › Cosumnes_River_College › Math_370:_Precalculus › 04...
4.1: Introduction to Rational Functions - Mathematics LibreTextsLearn the definition, domain, and arithmetic of rational functions, which are ratios of polynomial functions. See examples of horizontal, vertical, and slant asymptotes of rational functions.
https://www.symbolab.com › study-guides › boundless-algebra › rational-functions.html
Study Guide - Rational Functions - SymbolabA rational function is any function which can be written as the ratio of two polynomial functions. Neither the coefficients of the polynomials, nor the values taken by the function, are necessarily rational numbers.
