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

Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

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 …

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 …

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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 …

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 (x) and q (x) are polynomials such that q (x) ≠ 0. For example, f (x) = (x 2 + x …

Examples, solutions, videos, worksheets, and activities to help students learn about how to graph rational functions. What is a Rational Function? \ (f (x) = \frac {p (x)} {q (x)}\) where \ (p (x)\) …

May 16, 2025 · In this guide, we will walk through the process of graphing rational functions using clear examples and logical steps. You will learn: How to determine the domain of a rational …

Find and plot the x-intercepts and y-intercept of the function (if they exist). Set ( ) = 0 and solve. Evaluate (0) if it exists. Find and sketch any Asymptotes (Horizontal, Vertical, or Slant). Find …