Example Problem 1 - Finding Intercepts, Asymptotes, Domain, and Range State the x - and y - intercepts, vertical and horizontal asymptotes, domain, and range of the function graphed below.

Learn what a horizontal asymptote is and the rules to find the horizontal asymptote of a rational function. See graphs and examples of how to calculate asymptotes.

Learn about finding vertical, horizontal, and slant asymptotes of a function. With the help of a few examples, learn how to find asymptotes using limits.

Learn how to find asymptotes both algebraically and graphically. Discover how to calculate horizontal asymptotes and find equations of vertical and slant asymptotes.

Learn how to find vertical asymptotes given a rational function and identify them on a graph. Study vertical asymptote rules and identify horizontal asymptotes.

An asymptote is an imaginary line on a graph where a function approaches but never touches. Figure 1 illustrates two types of asymptotes, vertical and horizontal.

Learn the concepts of horizontal and vertical asymptotes and their relation to limits through examples. Understand how to find the limits using asymptotes.

Learn how to find the domain and range of a rational function. See graphs of rational functions and asymptotes. View examples of the algebra operations.

Learn how to find the asymptotes of a rational function in linear over linear form, and see examples that walk through sample problems step-by-step for you to improve your math knowledge and skills.

We will use these steps, definitions, and equations to find horizontal and vertical asymptotes of a rational function with a quadratic numerator or denominator in the following two examples.