To graph a rational function, first find any x- and y-intercepts and asymptotes. Compute and plot some additional points. Then sketch your graph.

So I have a homework question telling me to graph the rational function y=1/x and explain what is useful to see on the calculator and what is challenging. I knew what is useful and said how you can see the …

Feb 10, 2023 · A rational function is an equation that takes the form y = N (x)/D (x) where N and D are polynomials. Attempting to sketch an accurate graph of one by hand can be a comprehensive review …

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 …

Jun 4, 2023 · In this section we will use the zeros and asymptotes of the rational function to help draw the graph of a rational function. We will also investigate the end-behavior of rational functions.

Nov 17, 2025 · Learn how to graph rational functions. Includes and explains how to find the y-intercept, x-intercept, vertical asymptote, horizontal asymptote, hole, 3 other points, domain, and range....

Graphing rational functions as well as a review and a discussion on finding the intercepts, the domain and the asymptotes are presented. Examples with solutions are included.

Master Graphing Rational Functions with free video lessons, step-by-step explanations, practice problems, examples, and FAQs. Learn from expert tutors and get exam-ready!

We previously learned how to find the domain of a rational function. Since we can't divide by zero, we set the denominator of our rational expression equal to zero and solve the resulting equation. Once …

The following diagram shows how to graph rational functions of the form y = (ax+b) (cx+d) y = (a x + b) (c x + d). Scroll down the page for more examples and solutions on how to graph rational functions.