Graphing Advanced Rational Functions With Asymptotes and Holes Using Transformations

[@TheOrganicChemistryTutor]

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You have saved me in so many subjects, physics and chemistry especially. For some reason I just now stumbled on your precalculus videos after many years of crying over math class and my teachers incapability of teaching. I don't know how you do it but I haven't understood graphing for many years but after this video Im finally getting a grasp of it. Thank you thank you thank you.

[@mra9347]

same

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With out you I will be repeating very math class thank you my May Allah bless you.

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Assalamu Alaikum

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this guy is literally my teacher for half my classes

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IKR??!!

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One year ago, they told me to take this course again or to do the test in order to go to university but I was suspicious for the test, as soon as I watched this video, I said ok for the test and I passed it thanks to you.

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thanks so much man this was a lifesaver for my high school test. keep it up!

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when u learn more here than in math...

[@badonkadonk8212]

You’re a legend

[@momentswithnahcassie8275]

thanks alot i understood in less than an hr and i have a test tomorrow

[@Lana-or5dz]

Great explanation! I look forward to more college algebra videos and business calculus

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Needs a Grammy or something this guy😭😭

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for Graphing Advanced Rational Functions with Asymptotes and Holes using Transformations.

[@aliya7094]

My math teacher should watch this...

[@Nemoguzapomnit]

So great stuff! Thx a lot. Btw why at 18:40 you typed range as (-∞, 2) ∪ (2, ∞)? Y-intercept has it's maximum at 1.75 there's no other points betweet 1.75 and 2

[@mohammedkhaled2456]

Яша Белопольский I think it should be from (-inf, 1.75] U ( 2 , inf )

[@cliintbeastw00d]

that's incorrect. its all values besides 2

[@edgarpalomino2714]

Yeah plus, if you try to solve for a value like 15/8 (which is between 1.75 and 2), you’ll find there are no real solutions

[@mohammedkhaled2456]

Instead of writing ( - inf, 1.5 ) U ( 9, inf ) you had to write ( - inf , 1 ] U [ 9 , inf )

[@mortenfransrud7676]

Do you have a video on finding the function of the values on the graph? Have problems with a rational function equation where I need to find the values of A, B, C by studying that graph. (Ax+b)/(CX+1) I'm just stuck...

[@sanopann1896]

13:11 how did you get the 8/4 and if you multiply it by the denominator itshould be negative -8/4

[@sanopann1896]

@@uqo thank you very much now i understand he made it fraction then multiply top and bottom by the denominator of 4 to get the same denominator

[@hanif5059]

i want to ask...if 1 in the question at minute 18:30 changed to other number.do the answer still same

[@sanchoworku7446]

better than from my short maths teacher

[@devajnakaran4344]

This video was great thank you but in the last example is there a method to find the local maximum/minimum without relying on a GDC/on calculus?

[@adamsykes3792]

limits?

[@FunTycoon134]

It was 1 and 9 actually, if what I did was correct ;)

[@Chill----]

Yes man you are certainly correct.

[@mdisrafilansari4761]

At x=2 the function is undefined... Why not draw asymptote at that point? Please explain

[@trevorlei4096]

MD ISRAFIL ANSARI not sure

[@albinwikgren6921]

You can probably do it but because the function shown is the same as 1/(x-3) just not defined for x=-2 it's just a hole

[@JamesChisanga-l7l]

Thank you😅😅🙏

[@rohankatreddy3260]

Shouldn't the range for the function 1/(x^2-4) + 2 be Range: (-infinite, 2-(1/4)) U (2, infinite). Correct me if I am wrong :)

[@Graduation7484]

Why did I find this video 10 minutes before my test

[@Bsara7]

Thanks 🙏🏻

[@alexandermushibwe4745]

Uyu chikamba elefwaikwa award

[@sanopann1896]

7:24 how did it become positive

[@sanopann1896]

@@uqo i appreciate your help thanks alot

[@philiplee1469]

Why not make Xs into fraction and graph the equation by limits?

[@FatmaAlMandhari]

i have a question !! plz anyone !! reply

[@anthonyrodriguez8444]

5:30

[@luluartbymengxuan8375]

so good

[@hayatbikana3242]

Great like it very much

[@imback2killu328]

Ty daddy

[@babygorl4563]

you're welcome mommy

[@Abd-rb1po]

Love you

[@babygorl4563]

love you too

[@trevorlei4096]

Tytyty