A rational function is a fraction of polynomials. Asymptotes play an important role in graphing rational functions. Learn how to find the domain and range of rational function and graphing it …

Aug 3, 2023 · What is a rational function explained with examples and diagrams. Also, learn how to find the domain, range, asymptotes, holes, end-behavior, & x and y-intercept.

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 …

We will review how to graph rational functions and how to find asymptotes. In addition, we will look at several examples of rational functions with answers to fully understand the process …

Free rational functions math topic guide, including step-by-step examples, free practice questions, teaching tips and more!

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 …

That is, if p(x) and q(x) are polynomials, then p(x) q(x) is a rational function. The numerator is p(x) and the denominator is q(x). Examples. The last example is both a polynomial and a rational …

Sep 14, 2025 · 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 …

Given a rational function, we determine its domain, intercepts, vertical asymptotes, holes, and horizontal asymptote. We then use this information to sketch its graph.

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 …