How to determine if discontinuities are holes or asymptotes
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👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable when there is a factor in the numerator which can cancel out the discontinuous factor and is said to be non-removable when there is no factor in the numerator which can cancel out the discontinuous factor. • To find the discontinuities of a rational function, it is usually useful to factor the expressions in the function and we then set the denominator equal to 0 and solve for x. The value of x for which the factor appears in both the numerator and the denominator is the point of removable discontinuity while the value of x for which the factor appears in only the denominator is the point of non-removable discontinuity. • 👏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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