Finding the asymptotes
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👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but never touches. To find the vertical asymptote(s) of a rational function, we set the denominator equal to 0 and solve for x. • The horizontal asymptote is a horizontal line which the graph of the function approaches but never crosses (though they sometimes cross them). A rational function has a horizontal asymptote of y = 0 when the degree of the numerator is less than the degree of the denominator. A rational function has a horizontal asymptote of y = c, (where c is the quotient of the leading coefficient of the numerator and that of the denominator) when the degree of the numerator is equal to the degree of the denominator. A rational function has no horizontal asymptote if the degree of the numerator is greater than the degree of the denominator. • 👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianm... • ❤️Support my channel by becoming a member: / @brianmclogan • 🙋♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7 • 🎉Follow the Community: / mrbrianmclogan • Organized Videos: • ✅ Find the Asymptotes of Rational Functions • • Find the Asymptotes of Rational Funct... • ✅ Find the Vertical and Horizontal Asymptotes of a Rational Function y=0 • • Find the Vertical and Horizontal Asym... • ✅ Asymptotes of Rational Functions | Learn About • • Asymptotes of Rational Functions | Le... • ✅ Find the Asymptotes of a Rational Function with Trig • • Find the Asymptotes of a Rational Fun... • ✅ Find the Asymptotes and Holes of a Rational Function • • Find the Asymptotes and Holes of a Ra... • ✅ Find the Slant Asymptotes of the Rational Function • • Find the Slant Asymptotes of the Rati... • 🗂️ Organized playlists by classes here: / mrbrianmclogan • 🌐 My Website - http://www.freemathvideos.com • 🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-ca... • Connect with me: • ⚡️Facebook - / freemathvideos • ⚡️Instagram - / brianmclogan • ⚡️Twitter - / mrbrianmclogan • ⚡️Linkedin - / brian-mclogan-16b43623 • 👨🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclog... • 👨👩👧👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/ • #asymptotes #functions #brianmclogan
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