Find asymptotes and intercepts of a rational function

👉 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.
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Organized Videos:
✅ Find the Asymptotes of Rational Functions
• Find the Asymptotes of...
✅ Find the Vertical and Horizontal Asymptotes of a Rational Function y=0
• Find the Vertical and ...
✅ Asymptotes of Rational Functions | Learn About
• Asymptotes of Rational...
✅ Find the Asymptotes of a Rational Function with Trig
• Find the Asymptotes of...
✅ Find the Asymptotes and Holes of a Rational Function
• Find the Asymptotes an...
✅ Find the Slant Asymptotes of the Rational Function
• Find the Slant Asympto...
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#asymptotes #functions #brianmclogan

[@ansoncohen2653]

There's actually a hole at X=1 because you have an X-1 term in the numerator and in the denominator. X=2 and X=-1 are your only vertical asymptotes

[@brianmclogan]

Great catch! I should have factored both the top and bottom to look any holes. I will pin your comment so other viewers are aware.

[@PRINCEOFBAKU]

came for to mention this out, but you already did, good job mate!

[@jackwilson4324]

Yeah (2x-3/(x-2)(X+1)) is the fully simpldyed expression, with V.As being X=2,-1, no slant, and H.A being Y=0, with an x-int of ((3/2,)0), a y-int of (0,(3/2)), and a hole coordinate of (1,(1/2))

[@tmwbatman1160]

Don’t pin it. Redo the video.

[@tmwbatman1160]

Plans to redo the vid? Please tell me you’re not profiting from this garb.

[@rdx3127]

Yo, why the frick is this man's smarter than my whole math department, my math center didn't know what they were doing, and when she said give me a sec to figure this out, I SAW HER LOOKING AT YOUR VIDEO!!!! u the real g Brian 😤💯🤜🤛

[@jenvillarias8074]

year 2020 and this man right here really save a lot of students especially in this pandemic:>

[@greyeyedone_2119]

Thank you for making this better to understand.....You took the fear out of this for me.......🙏🏾

[@julierussell6897]

i love your teaching. im in HighSchool PreCal and i watch yuor videos when i dont understand.

[@brianmclogan]

happy to be able to help you out! best of luck this year Julie!

[@kobsanityy]

Thank you very much! Randy Orton!

[@brianmclogan]

you are very welcome!

[@xorthy7400]

@@seph3803 Bruh momenting a 5 year old comment

[@kirkokirko]

i learn more from this dude than my actual math teacher ksdkdjsjdsjsd

[@thedawn7436]

i love the way u teach, its amazing. anyway thank u so much n i think u r students are really lucky to have u a teacher like u

[@brianmclogan]

appreciate it and happy that my videos help

[@AsianHunk_]

My Honors Pre-Calc teacher “taught” us this today, I was so confused when I left, but this helped me understand.

[@murray8692]

You do the public a great service with your videos. I've watched many. They're even on Amazon Prime! My only frustration is how FAST you go. I hit pause and back up a lot. I wonder if you teach AP kids. I really wish you'd slow down just a little... You're a very good teacher!

[@brianmclogan]

thank you very much! Yes I do teach AP and know I can talk fat every now and then

[@ryanh6586]

this video might just help me pass my test tomorrow thanks

[@alexzandrajenkins6922]

I have my third college algebra test tomorrow, this helps so much! Thank you Brian

[@maximilianfyfe9929]

delete this commment

[@itskiff8636]

Brian at 6:22 could you have done the a times c method? Or cannot you not or shouldn't do it when doing equation is equal to 0?

[@tmwbatman1160]

itsKiff Brian needs a better script.

[@edwardwang7929]

Yes，the first thing we got to do is to check if there are break points，or say to check if there are common factors of the numerator and the denominator

[@maryamalhumaidi]

literally i solved this in 5 seconds using the calculator thanks by the way .

[@christopherguzman3409]

You just saved me from failing my test tomorrow thank you 🙏🏻

[@ayyriscandid5236]

Sir What will I do if the denominator is not factorable?

[@doughboyandpie]

The speed he writes at is diabolical. Thats the true equation im tryna solve

[@fatimamartinezgallegos5336]

I just gotta say that you are awesome!!

[@christianmcintire1094]

man i zoned out in class and now i know how to do this stuff thanks again

[@yourname4143]

you da man simple and sweet!

[@lux27.42]

thank you so much, sir.

[@vanessak5847]

hello -3and -1 doesn't give -5...I am lost can you explain

[@vanessak5847]

I figured it out thank you

[@naydean530]

Hello Mr. Brian, I am not fully understanding (pause the video at 1:17 and let it play - 1:20). Please explain!

[@falkar11]

Now this guy knows how to teach, all my math profs suck

[@juanfutureguy]

Thank you

[@bhagyashreeurao7931]

What is done at 3:59 is absolutely wrong. You cannot multiply and cancel the denominator function since the denominator function can take the value 0 (for x=2 or 1 or -1).

[@dominicsanjuan1266]

Thanks dude. I was absent for 2 days because my grandma died but I still managed to keep up because of you. Thanks a lot

[@brianmclogan]

sorry to hear of your loss, happy my videos could still help you

[@dominicsanjuan1266]

+Brian McLogan Thanks😃

[@brianmclogan]

you are very welcome!

[@Woahbro69420]

Thx for this

[@brianmclogan]

you are very welcome!

[@sarcasm6315]

helped me alot

[@brianmclogan]

great! happy to be able to help you out!

[@sayeddamaa3724]

aren't the vertical asymptotes just x=2 and x=-1 because when you factor the top you can cancel a x-1 in the numerator and denominator.

[@mjcard]

juliana damaa correct

[@tobiaschapinda6771]

Find the equations of the asymptotes of the following graphs y=(3-x)/(2x+5) y=2/(2x+1)

[@leandermaramba6862]

I was confused at the x-int. Because he valued f(x)=o intead of y But over all understandable

[@ohyeahyeah235]

everyones talking about college and this is my freshman year of highschool learning this???

[@bittsszzzerrr7397]

why ican't understand?

[@brianmclogan]

do you have a question I can help you with? I have plenty of examples on this topic, easier ones as well that might be helpful to start at

[@dianeweiss4562]

Impossible to tolerate because of the pronunciation of “asymptote”. swapping the “p” with the final “t” destroys the content.

[@keegan6785]

Goes into too much detail and talks fast… just tell me the steps.

[@kidussolomon7844]

Not helpful