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 …

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 …

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 …

Graphs of Rational Functions We can use Desmos to graph rational functions. Try it out for yourself. Figure 1 shows some examples. Figure 1. Examples of the graphs of rational functions

Although a rational function can have many vertical asymptotes, it can have at most one horizontal asymptote. The graph of a rational function will never intersect a vertical asymptote …

In this section, we delve more deeply into graphing rational functions with the goal of sketching relatively accurate graphs without the aid of a graphing utility.

Let's start by examining the graph of a simple rational function. You may have seen this graph in the past. Due to the restrictions that are placed on the x-values of rational functions, you can …

How do you graph a rational function? To graph a rational function: Factor the numerator and denominator, if possible; check if anything can be cancelled out. Solve the numerator's factors …

Now that we have analyzed the equations for rational functions and how they relate to a graph of the function, we can use information given by a graph to write the function.

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 …