Vertical and Horizontal Asymptotes: A Quick Guide with Example!

Learn how to find the vertical and horizontal asymptotes of the function f(x) = (2x+1)/(x-3) step by step in this Math short! In this video, we'll solve a practical and essential exercise for those studying Differential Calculus and Function Analysis. You'll understand the logic behind locating asymptotes and how they define the behavior of a function. *Vertical Asymptote:* Explanation and solution of how to find the vertical asymptote at the point where the denominator of the function vanishes. Example: x - 3 = 0, so the vertical asymptote is the line x = 3. *Horizontal Asymptote:* Explanation of the rule for finding the horizontal asymptote in rational functions, analyzing the behavior of the function as x approaches infinity.