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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 along with examples.

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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 for their zeroes; these will be the x -intercepts of the graph.

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. Let’s begin with an example.

2023年2月10日 · 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 of many of the most important high school math topics from basic algebra to differential calculus. [1]

2022年11月16日 · 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 a rational function will have them.

How To: Given a graph of a rational function, write the function. Determine the factors of the numerator. Examine the behavior of the graph at the x -intercepts to determine the zeroes and their multiplicities.

2022年5月2日 · In this section, we will study some characteristics of graphs of rational functions. Asymptotes are important features of graphs of rational functions.

This lesson involves investigating the graphs of rational functions. As a result, students will: Describe the end behavior of the graph of f(x)=1/x and what is happening near the asymptote. Horizontally translate the graph of f(x)=1/x and determine the relationship between the equation of the asymptote and the equation of the rational function.