Rational Function - Graph, Domain, Range, Asymptotes - Cuemath
What is a Rational Function? A rational function is a function that is the ratio of polynomials. Any function of one variable, x, is called a rational function if, it can be represented as f (x) = p (x)/q (x), where p …
Rational Function – Definition, Equations, and Examples
Aug 3, 2023 · Like polynomial functions, a rational function has zeros or roots, the points where the graph crosses the x-axis, or f (x) = 0. In a rational function, they are the zeros of the numerator, and …
Rational functions | Precalculus | Math | Khan Academy
Divide 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.
Algebra - Rational Functions - Pauls Online Math Notes
Nov 16, 2022 · In this section we will discuss a process for graphing rational functions. We will also introduce the ideas of vertical and horizontal asymptotes as well as how to determine if the graph of …
Rational function - Wikipedia
In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials.
2.7: Rational Functions - Mathematics LibreTexts
Sep 14, 2025 · This section introduces rational functions, exploring their key features such as domain, vertical and horizontal or slant asymptotes, and intercepts. It discusses how to analyze and graph …
Rational Functions - Math Steps, Examples & Questions
Rational functions or algebraic fractions, are functions that are fractions because they have a numerator and denominator. Rational functions are expressed as the ratio of two polynomials such that the …
Introduction to Rational Functions (examples, solutions, videos ...
Examples, solutions, videos, worksheets, and activities to help PreCalculus students learn about rational functions. The following diagram shows the rules for the vertical asymptotes and horizontal …
In this section, we explore rational functions, which have variables in the denominator. We have seen the graphs of the basic reciprocal function and the squared reciprocal function from our study of …
Rational functions (video) | Functions | Khan Academy
What are rational functions? How do we plot them? What is their domain and range? Let's find out. We break down the definition of the function given in set-builder form and plot the graph by connecting …