Graphing Rational Functions with Slant Asymptotes

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Remember kids, distracted erasing may cause lost slant asymptotes. Seriously though, you have been helping me so much as I am venturing back into college at 31. I wish I had teachers like you when I was in high school. I may have loved math back then. Better late than never I suppose. Finding your videos has been a blessing and I hope you are well. Thank you Mr. Tarrou!

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[@georgesadler7830]

Professor RobBob, this is another monster video/lecture on Graphing Rational Functions with Slant Asymptotes. Graphing Rational Function was never my strong points in Algebra Two/ Precalculus/ College Algebra, however practicing graphing on my own has improved my understanding of the subject.

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[@ilovepiedoyou2]

Thank you so much! I have a test tomorrow and I had no idea what was going on with the asymptotes until I found this video.

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Now Closed Captioned #math

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As far as I know...there is no asymptote of any kind. By the way...Thanks for subscribing. I grow through the support of my viewers and subscribers so please spread the word and share my channel with your friends:D

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[@IdeasAboveStation]

@9:48 For a quick reference to find the nature of the graph outside the known region we've found so far; differentiate (by quotient rule), then let f '(x) = 0 to find the stationary points. If you find one into the first quadrant, then it's fair to assume the shape of the graph by letting f(x) be just less than and just more than the value of x for the stationary point. With those 3 x values (1 for the stationary point, 1 for x> & 1 for x< the stationary x value) you can then finish the graph.

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This helped more than my hour lecture! Thanks!

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Your videos really help me know so many things about pre calc. .. i learn the graph of polynomial and rational functions from you which i cant get from my professor.. Thank you .. Its very easier from me to learn any topics of precalc so from you

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[@profrobbob]

Did you get your problem figured out? It sounds like my video Graphing Rational Functions Part 1 & 2

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You're such a good teacher. I have been struggling to understand concepts with mine and I get it so quickly watching your videos! One question: if there is a slant asymptote, will there ever be the standard horizontal asymptote that fits the 3 criteria you talked about? BAM!

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***** haha:) I cannot think of an example where you can have a horizontal and a horizontal asymptote. I am pretty sure the answer is no:) Thank you for watching and the BAM:D

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[@profrobbob]

Is it (2x)^2 or ((-5x+4)/(3x-6))^2?

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AWESOME!!! Good luck:)

[@torosalvajebcn]

Thanks a lot for this video. Just a qustion. Why is it that only when the exponent in the numerator is one unit bigger than the exponent in the denominator you get a slant?

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[@Freshtaa16]

Can you help me out with x^3-1/x^2? I feel like you're the only one who can help since you're so good at what you do. I'm so confused. I know the slant asymptote is -x. But what about the vertical asymptote, x/y intercepts, domain, etc. Help!

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Learning more here than in class

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[@zefwolffs8789]

What are your top 10 oblique asymptotes?

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Has watch.. Pulls out phone. Lol

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+saim karim shows me that you are also "paying attention" lol I had a 15 minute time limit from KZbin when I started these videos, that's why the time check:) Thanks for watching...please sub and share my channel with your friends:D

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Sure thing 10 minutes of this is all I needed it was a lot simpler than I thought my teacher just made it complicated I wish you were my teacher

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+saim karim be prepared...all my videos are NOT this short...BAM!!!

[@dudesah7422]

What do you do if the numerator is unfactorable? How would you find the x intercepts?

[@عبداللهالعامري-و9ص]

I ask if you have video about ( using the rational zeros theorem and the quadratic formula)

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You can use the magnifying glass under the banner on my channel's homepage to search my lessons, kzbin.infosearch?query=rational+zero+theorem and kzbin.infosearch?query=quadratic+formula

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[@dindinvalle9514]

what if the degree of the numerator is greater than 1? 'say, two or three? What asymptote can we get from it?

[@dinin_alone]

You're awesome!! I have one question... A rational function won't cross the vertical asymptote but sometimes crosses the horizontal asymptote. Does it also never cross the slant asymptote? Thanks again!

[@profrobbob]

+Quantum Yes, a graph can cross its slant asymptote or horizontal asymptote. To find the point(s) where this happens, set the function equal to the SA or HA, and solve for x. Any valid solution(s) will be the x-coordinate of the intersection of the function and the asymptote. It can NEVER cross a vertical asymptote since the function is undefined there.

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nicely explained thank you!

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what a beautiful human being.

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Thanks...please like, sub and share these free educational channels that help:D

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i will, btw thanks for the replay!

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THANK YOU SO MUCH I shall surely get an A on this upcoming test

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You're welcome and I hope you got that A you deserved for all the extra studying you did:)

[@adrianbautista227]

Does choosing test points have a rule?

[@elitetvshows4381]

Thank you so much, this really helped

[@prayryan]

when you have a slant asy is testing intervals a good idea? how does that work?

[@profrobbob]

I am sorry, but I am not sure what you mean by testing the intervals?

[@kombuchas4684]

What happens to the remainder? Your example's remainder would turn out as 6/x-3, but what does that mean? Does it really not affect the slant asymptote at all?

[@profrobbob]

The remainder does not affect the slant asymptote. Thank you for watching:)

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You are awesome, thank you so much man! :D

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You are so welcome Xavier Ringo thanks for watching and liking ! Don't forget to subscribe and support the ads to help us grow and remain free and please share my channel with others too :D

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you are amazing :) Thank you so muchhh!

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Why did you check your phone for the time when you have a wristwatch?

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I had a timer on the phone because my very early videos had a 15 minute time limit:)

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GOD BLESS YOU SIR

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Thank you...and Thanks for watching palmer491

[@eceotazca4160]

hi, can you tell me how you would graph x^3/x^2+1 ... I'm having trouble figuring it out

[@revolutionarycomics4781]

There's no vertical asymptote because of the X^2 at the bottom, and there is no horizontal asymptote because the degree is bigger on top. Slant asymptote= y=x

[@profrobbob]

Thank you:)

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Thanks:)

[@liverpoolks]

solution for this function 2x in square -5x+4/3x-6 ???

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LOVE THIS VIDEO

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I love your channel but why do you call it ProfRobBob, why did you choose that name... just curious?

[@adrianchua9489]

are oblique and slant asymptotes the same thing?

[@profrobbob]

Yes:)

[@adrianchua9489]

thank you!!

[@robert0t]

what happens when the num degree is greater than the den degree by 2?

[@profrobbob]

+Wannes Schyvinck Then there is no slant asymptote. You more than likely will have vertical and / or slant asymptotes though. This should help... kzbin.info/www/bejne/gnfNl2VojJ6FeNE

[@robert0t]

+ProfRobBob My precal book shows that the asymptote is a polynomial.