Horizontal and Vertical Asymptotes - Slant / Oblique - Holes - Rational Function - Domain & Range
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- Опубликовано: 13 окт 2024
- This math video tutorial shows you how to find the horizontal, vertical and slant / oblique asymptote of a rational function. This video is for students who might be taking algebra 1 or 2, precalculus or calculus in high school or those who might be taking college algebra in an university. This video contains plenty of notes, examples, and practice problems for you to master the concepts.
Fundamental Theorem of Algebra:
• Fundamental Theorem of...
Rational Expressions - Basic Intro:
• Rational Expressions -...
Simplifying Rational Expressions:
• Simplifying Rational E...
Multiplying Rational Expressions:
• Multiplying Rational E...
Dividing Rational Expressions:
• Dividing Rational Expr...
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Adding & Subtracting Rational Expressions:
• Adding and Subtracting...
Rational Expressions - Unlike Denominators:
• Adding and Subtracting...
Simplifying Complex Rational Expressions:
• Simplifying Complex Ra...
How To Solve Rational Equations:
• Solving Rational Equat...
Rational Equations - Extraneous Solutions:
• Extraneous Solutions o...
_____________________________________
Horizontal and Slant Asymptotes:
• Horizontal Asymptotes ...
Finding Rational Functions Given 2 Points:
• How To Find a Rational...
Rational Functions - X and Y Intercepts:
• How To Find The X and ...
Graphing Advanced Rational Functions:
• Graphing Advanced Rati...
Rational Inequalities:
• Rational Inequalities
________________________________________
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections
Domain and Range - Formula Sheet:
bit.ly/4eheN2W
Domain and Range Formula Sheet: bit.ly/4eheN2W
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
Functions and Graphs: ruclips.net/video/ZTEv8OnGaxo/видео.html
Transformations of Functions: ruclips.net/video/tyQLp6x-GoU/видео.html
Graphing Polynomial Functions: ruclips.net/video/rOOefdqMvtA/видео.html
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At 8:05 you stated that -1 + 7 = -6. You graphed it correctly but it should have been positive 6.
OHH thank god for clarifying - busting an all nighter trying to learn all this and that part made me thought I should sleep instead... Nonetheless, knocking that quiz out tomorrow thanks to this video.
u are right, but thnks to the lecturer after Allah,
Ye however the graph would basically be the same sketch as positive 6 still below the horizontal asymptote (7)
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25:18 for those just looking for help with slanted asymptotes. Also thanks for making this!
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I'm a third year accounting student in Thailand , don't know why but i have to enrol the General Mathemetics1 subject. I had drop this subject at second year but to graduate I have to pass this subject anyway. Im so stupid at Math and don't have a good basic unlike other student in the class, they all so good. On the other hand I have no idea what the teacher talk about especially Asymtote things so i go to ask teacher but he explain me like I'm a genius of mathematics so i decided to learn by myself, i search video youtube that teaching about the asymtote things in Thai but still don't get it, so I have last choice it is your video which is in English. I'm afraid that I might not get it but amazingly I get it because you taught so clear and so easy to understand. THANK YOU SO MUCH FOR UPLOADING you can (my goal is to don't get F)
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Explanations to find vertical and horizontal asymptotes as well as slant asymptotes are clear and understandable. Thank you.
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If anyone got confused at 13:30 you can just do -18/4 and you will still get -4.5, he just broke the fraction down.
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For the 2nd example, y = 1/(x + 2) + 7, I had never tried to graph a rational expression with a constant added to it. I went ahead and rewrote it as y = (7x + 15)/(x + 2) using a common denominator, and then found the horizontal asymptote to be 7x/x = 7/1 = 7, so y = 7. It was interesting to know that it is the same as y = 0 shifted up 7.
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We owe you a lot! Amazing teacher! At 8:05 you stated that -1 + 7 = -6. You graphed it correctly but it should have been positive 6.
correct.1/-1+7+6,its like a/b+c/d=ad+bc/bd.we use it to make the denominator the same inorder to - or +.I know 🤯 but,try to use some numbers,
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21:20, 23:00 hole and finding cordinate of hole 12:30 X intercept due not able eliminate numerator , keep only what has survived after removing hole ( terms)
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4:46 I think you make a mix between x and y if I am not mistaken?
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Assalamualaikum. For 15:42 how should we know when to get the x and y intercept or just take x as -1 like the previous questions ?
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Thanks for your video. At 30:40, your graph should not have any intersection with x-axis as there is no real root for 2x^2-x+1=0.
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If I am not mistaken, for the last example, there is no x intercept and the bottom part of the graph falls completely under the x-axis. When you set 2x^2 -x +1 = 0, you get an imaginary number.
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