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There are three types of asymptotes namely: Vertical Asymptotes; Horizontal Asymptotes; Oblique Asymptotes; The point to note is that the distance between the curve and the asymptote tends to be zero as it moves to infinity or -infinity. Horizontal Asymptote
Learn about horizontal, vertical and slant asymptotes of a function and how to find them using limits, degrees and long division. See examples of rational functions with different types of asymptotes and their graphs.
Learn how to find the vertical and horizontal asymptotes of a rational function by factoring the numerator and denominator and examining the end behavior. See examples, definitions, and exercises with solutions.
Learn what an asymptote is and how to identify horizontal, vertical and oblique asymptotes. See the definition, the conditions and the examples of asymptotes in algebra and calculus.
Whereas vertical asymptotes indicate very specific behavior (on the graph), usually close to the origin, horizontal asymptotes indicate general behavior, usually far off to the sides of the graph.
An asymptote is a horizontal/vertical oblique line whose distance from the graph of a function keeps decreasing and approaches zero, but never gets there. In this wiki, we will see how to determine horizontal and vertical asymptotes in the specific case of rational functions.
The denominator of a rational function can't tell you about the horizontal asymptote, but it CAN tell you about possible vertical asymptotes. What Sal is saying is that the factored denominator (x-3) (x+2) tells us that either one of these would force the denominator to become zero -- if x = +3 or x = -2.
