Images
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 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.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://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 the properties, degree, and applications of rational functions, and see examples of graphs and Taylor series.
Vidéos
https://www.khanacademy.org › math › precalculus › x9e81a4f98389efdf:rational-functions
Rational functions | Precalculus | Math | Khan AcademyDivide one polynomial by another, and what do you get? A rational function! We'll analyze the family of rational functions, and we'll see some examples of how they can be useful in modeling contexts.
https://math.libretexts.org › Courses › Monroe_Community_College › MTH_165_College_Algebra...
3.9: Rational Functions - Mathematics LibreTextsConstruct Graphs of Rational Functions. In Example \(\PageIndex{10}\), we see that the numerator of a rational function reveals the x-intercepts of the graph, whereas the denominator reveals the vertical asymptotes of the graph. As with polynomials, factors of the numerator may have integer powers greater than one. Fortunately, the effect on ...
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 vertical and horizontal asymptotes of rational functions with an example.
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.wolframalpha.com › examples › mathematics › algebra › rational-functions
Rational Functions - Wolfram|AlphaRational 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.symbolab.com › study-guides › precalcone › rational-functions.html
Study Guide - Rational Functions - SymbolabLEARNING OBJECTIVES. By the end of this lesson, you will be able to: Use arrow notation. Solve applied problems involving rational functions. Find the domains of rational functions. Identify vertical asymptotes. Identify horizontal asymptotes. Graph rational functions.
