https://www.cuemath.com › calculus › rational-function

Learn how to identify a rational function as a ratio of polynomials and how to find its domain, range, and asymptotes. See examples, graphs, and FAQs on rational functions.

https://www.symbolab.com › study-guides › precalcone › rational-functions.html

Learn how to identify rational functions, use arrow notation, find domains, and graph rational functions. See examples of vertical and horizontal asymptotes, and how to solve applied problems involving rational functions.

https://math.libretexts.org › Courses › Monroe_Community_College › MTH_165_College_Algebra...

Find the domains of rational functions. Identify vertical asymptotes and "holes". Identify end behaviour asymptotes and points where the function intersects them. Graph rational functions and Construct a rational function from a graph

https://mathmonks.com › rational-function

Rational Function. The word ‘ratio’ is the root of the term ‘rational’. Thus, a rational function is the ratio of two polynomial functions where the denominator is never 0. A 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.

https://www.symbolab.com › study-guides › boundless-algebra › rational-functions.html

rational function: Any function whose value can be expressed as the quotient of two polynomials (except division by zero). numerator: The number or expression written above the line in a fraction (thus [latex]1[/latex] in [latex]\frac {1}{2}[/latex]).

https://www.effortlessmath.com › math-topics › how-to-analyze-and-understand-rational...

Step 1: Know the Basics. Polynomial: A mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. Example: \ (f (x)=2x^3−4x^2+x−7\). Rational Function: It’s a ratio of two polynomials. Example: \ (R (x)=\frac {x^2-1} {x^2+x-6}\) . Step 2: Simplify the Function.