Rational Function (Domain, x & y - Intercepts, Zeros, Vertical and Horizontal Asymptotes and Hole)

Finding:
a. Domain
b. x-intercepts
c. y-intercepts
d. zeros
e. vertical asymptote
f. horizontal asymptote
g. hole

No. 1 Example, there is no Vertical Asymptote.

[@jestersin6956]

Why not?

[@winterhuxley385]

Oum why po wala?

[@jhoannafelisaacosta3740]

Pwede po evaluating functions word problems?

[@keem1400]

Sir how to know whether there is no VA and There is VA? Got curious and confused😅

[@charles4315]

why wala po?

[@goofyahh8637]

Your lecture makes it easier to understand. My prof makes it sound complicated, ganito lang pala hehe. Maraming salamat po.

[@leslied.c1996]

Sir, maraming salamat isa ka sa mga tulay sa pangarap namin sana ay ipag patuloy mo lang yan sir!✊😊

[@annicakes]

this is helping me a lot 😭 thank you so much for making me understand this lol my prof explains it so complicated and too fast that i cant keep up thank you!

[@eaglefx9281]

thank you sir, hindi ko po to gets sa teacher namin kahit mabagal siya magturo. pero rito sa almost 22 mins na video, nagets ko na agad compared to 1 hour and 30 mins discussion ni ma’am ❤️

[@joemikepalermo4075]

OMG YES. We'll have a quiz in Rational Functions next week so this is helpful!!

kindly share to your classmates Joemike.

[@jadealthea2948]

@ Sa extracting the square roots po.. What should i say/call po? The roots of x²-36=0 are (-3 AND 3) or (-3 OR 3) AND or OR?

[@leonardocejuela6251]

The profile picture tho

[@leonardocejuela6251]

Happy, free, confused and lonely at the same time

[@user-tn5wu3sg6d]

Red tv is cominggg

[@pau8746]

You teach better than my teacher THANK YOUUU

[@richellemanzano6094]

Thank you sir sa well-explained lesson then I appreciate for the effort na you have three different examples, laking tulong sa pag assist ko sa pamangkin ko sa assignment niya, limot ko na kc mga ganito concepts eh. Very helpful tlga ang you tube university 😅with vloggers like you. By the way, I already subscribed to your channel. Hats off to you sir for your positive impact on others. Please continue doing educational vlogs like this. God bless sir!🙏

[@lady2895]

Thank you, Sir < 3 Dami ko pang natutunan.

[@hannahgracebaliza1568]

kapag nag uusap kami sa reference sa math sagot namin yung Channel na 'to. thank youu po sir

[@stephanie2112]

Thank you for demonstration sir but how to find the range?

[@creapyjhun]

Di talaga ako marunong sa math but nagagawa nyo mapadali nga problem thank talaga sir:))

[@red-sorcerer]

Thank You Very Much! This help me a lot now !

[@amadacyllano1289]

Sir can we cancel x -3 on both the numerator and denominator po b?

[@maxenebeltran5706]

What if y= 2/x ? Do we put x or 1 for the VA?

[@fionnasutopia5835]

Weww pinanood ko lahat ng video mo as a review for my gen math periodical exam- pray to god pasado naman🎉

[@leafontanilla1856]

Thank you so much sir I have learned a lot😊

[@loraliesantos7899]

Sir i need ur answer for this sir can u teach me how can i sketch the parabola with this given equation x+y=-y²

[@ninaclaudinemores4487]

thank you very much for your effort sir! i learned a lot from you!

[@christopheralday4716]

Pede siguro d muna nag cross multiply sa 0, finactor muna ang numerator para macancel ang x-3 so matitira lang ay x+2=0 kaya x intercept is -2, (-2,0), nakakalito pag yung inekes yung isang value ng x e.. Pero ang galing naman po..

[@MKEWZWSK]

thank you so much sir.. it really helped!

[@melimeli3190]

Thankyou sir! Helped me a lot :))))))

[@kaeallyzzapolo2940]

sir, what if the domain po is negative number??

[@hiyab8291]

thank you, this helped me!

[@aliyahmarie6329]

you did it better than my gen-math teacher

[@ezekielmarganzon6989]

Thank you Sir for this vid! Gandang bungad sa YT dahil problemado ako sa Rational Functions

welcome po pashare sa classmates

[@done2913]

omg thank you so much it helps alot

[@Samantha-th8qw]

nakakainspire na nga itsura tas galing pa magexplain dbest chos

[@aaronbanagbanag7542]

This really helped me a lot. Especially that I have to learn this in Grade 11 in our General Mathematics subject. Thank you so much sir for sharing your knowledge about Rational Functions. 😊

[@offguntumcialphunsawat3344]

Thank you so much sir you saved my life again ❤️❤️❤️ps.your new subscribers

[@user-dr9sn2gf3q]

Thank so much sir I understand it now how to solve the rational function.😊

[@_faithdeleonaquino8158]

Thank you sir, naintindihan ko na rin sa wakas. HAHAHA

[@louisejamila1743]

(rectangular coordinate system)sir pano po pag x,0 and y,0 ? Ano pong quadrants?

[@shaibutnotshy3955]

Thankyou po sir! Mas nagets ko po yung module dahil po sa inyo.

[@bryne_iguess2777]

Need ko to sir, I am so thankful kase sobrang detailed and easy to understand po sir, Maraming salamat po, Sana po'y patuloy kayong nagtuturo dito sa Yt

[@ricogabrielmirandalimheya8598]

very helpful!!!

[@Yassi_gorl]

Ig theres diff way of solving rational func Cause my tutor thought me a formula That F(x)= HA ( x intercept/ vertical ) y intercept It says that factor number first Look at a top to find x intercept, teanspose it and write it ex: (2,0) the zero is always at right While in y intercept you'll look to a given number that havent factor yet imagine that all x is gone and look for right numbers that left , divide and write ex; ( 0, 3 ) 0 is always at left Then in VA is like getting domain transpose HA for exponents and coefficients like u know that Its hard to explain But im just checking if the answer is still the same even its diff way of answering it : )

[@magnokhristine5976]

I didn't understand it that much, can you please have another detailed example, please 🥺. 😄

[@ravenarcilla1270]

Hi, no. 1 has no vertical asymptote. Only hole at x=3 (It's graph is a line with a hole at x=3). If a factor in the denominator is cancelled, then it is a hole, not a VA. VA is/are factors in the denominator that is/are not cancelled. And also, VA can't be equal to holes. So the definiton of VA is not rescricted value/s for x (that's for the domain) since not all restricted values of x are VA (It can be holes too).

[@myranisahdy9247]

Omg! Andami kong problema dumagdag pa toh. Hindi ko naiintindihan

[@carllim5153]

@@myranisahdy9247 hahahhaha

[@Xyro043]

Tama naman si sir ito lng mali

[@joharibacolod9720]

how bout the vertical asymptote of the first example sir?

[@peachchi3367]

napaka helpful talaga!! Thank you sir!

[@Aaro_cx]

how do u find the range?

[@sportskikojay]

thank you sir for this wonderful lesson,I may be able to buy some beyblades because of this😊

[@diyady7342]

how about x1+3x and 2x2-x+1x+2 sir? what is the x and y intercept, vertical and horizontal asymptotes

[@KASEKYU]

Klaruhin nyu po yung denominator given mo po..2x^2-x+1x+2=2x^2+2

[@rollielynnmaecalapatia5148]

THANK YOU SO MUCHHH!

[@heavenathenaumerez6534]

THANK U SO MUCHHH

[@dimplemontes568]

ikaw tologo ang aking hero señor pablo mwhehehehe

[@jonnaveamaria6605]

I think in x intercept, you forgot to cancel both x-3 in numerator and denominator.

[@a-jayvalenzuela9990]

thank you sir!!! galing nyo po mag turo.♥️

welcome po pashare sa classmates

[@jadealthea2948]

@ @Señor Pablo TV Sa extracting the square roots po.. What should i say/call po? The roots of x²-36=0 are (-3 AND 3) or (-3 OR 3) AND or OR?

[@ley_13]

Thank you🤗

[@sophiaangelabuenaventura2911]

sir thank u. mabuhay ka.

[@yougotnojams5182]

Omg thank uuu!! prelim po nmin maya e❤

welcome po pashare sa classmates

[@wivoa]

Thanks you souch omg you saved half of my life lol

[@wivoa]

much

welcome po pashare sa classmates

[@cleiasalvador8121]

Sir pano po pag yung nasa denominator x²-8x+12 pano po kukunin ang domain pag ganyan?

[@florencenocossacamil9871]

Thank you sir ♥️👍

[@kaapinglarry7490]

Pogi ❤️ love you idol 😊

[@blablabla321]

ginaganahan akong mag aral pag ikw nagtuturo sir hehez

[@maryjanelee7278]

how about fraction? like 1/49 ^x+² -7 ?

[@ziminni.innimiz0129]

How do we find Vertical asymptotes again? i dunno why im cofused huhu

[@diejoskotono9259]

Sir ILY n po talaga

[@kheanjaydelacuadra9912]

Air what if the range? how can I get?

[@rupaxisharma5515]

Love from India❤️🇮🇳

[@chrisjanorbigozo5437]

Sir pano po mahanap ung x and y intercepts sa equation?

[@jeromedeguzman1776]

I finished the whole ad for you to earn big

[@jurysilcantiga9997]

Thank you♡♡♡

[@vincentcolarsalazar6555]

Sir how to find the X-intercept of this problem f(x) = 2/(2x + 5)

[@jersonflores3481]

Thanks sirr!! Ikamusta nyo nlng ako dyan sa mga manok nyo HAAHHAA jk😆

[@jolbot8943]

thank you po mas natuto po ako sa inyo

[@posyski03]

How bout pag dalawa ang domain sir so dalawa din ang vertical asymptotes?

[@mikes3667]

RESPECT!

[@tommypeculiar5320]

I don't know why the zero in example no.1 is -2. If you'll substitute -2 to the function it will not result to zero. Please explain.🥺

[@JmPintin]

The zero of a rational function is the same as the x intercept.

[@daniellumabas9026]

Good evening. I find this concerning because does every terms without a shown degree lways has imaginary 1 or am i wrong?

[@CHARO_hiraya]

so helpful

[@finland2064]

sir ask ko lanh po kung pano po kung yung numerator is 3x+6 pano po yunh magiging x-intercept nya?

[@JustinLee-jm5wn]

Sir paano po kung ung denominator ko x lang?

[@NurseBright]

nice my brother😊💖. BrightDChemtutor visited 😊🙌

[@clarizaatillo1839]

How to get range?

[@lancethelittlewolf2084]

How to graph it sir?

[@allyssaashleyrangaig272]

sir try nyo din po na pag baligtarin po iyan, yung x-3 naman po yung numerator then yung x²-x-6 po ang denominator.

[@carlmangoba5448]

Sir req kopo real life application of linear and quadratic function po mas naiintindihan kopo pag kayo nag discuss Ty po!!

[@vincetolibas8060]

Sir what if it has no Real Numbers?

[@mikeglennestores8277]

f(x)=15/√x-1? Is it rational function po?

[@johnjosephbautista8637]

nah, cuz there's a radical sign

[@user-wb8ni1tm8e]

This really helped me, right hole Reyan Glen M Antenor

[@janell_gandara4334]

Sir tanong kolang po kung magkapareho lang puba yung y² and x² ?

[@thecarvlogs8684]

Thank you sir!

welcome po pashare sa classmates

[@thecarvlogs8684]

@ OPO

[@sakura5524]

thank u sir

[@clarizaatillo1839]

How to cross multiply 0= x^2-4/x^2-9?

[@roswelcodiep.bernardo7288]

a = b/c ca = 1b

[@leocrisladringanjr.7446]

Paano po kunin yung range sa equation?

[@dentnabalauro772]

Can i ask questions po pls pano po ung sa range?

[@rjaymorales9033]

sir pareho lang po ba yung hole sa obligue asymptote

[@maquia11maquiami]

My teacher taught us wrong solutions, thank you now I am aware that I should have trust issues among teachers

[@angelicakeith8006]

Happy teacher's day po❤️

[@carllim5153]

for what grade po ito?

[@mitsukigaming2057]

Sir pablo may vid ka poh about sa "problems involving sequence" ?

[@mr.archer4119]

Buti na lang meron to! Puro ml kase inatupag ko

[@kimberlymadronio5071]

Thank you Sirrr 😭 nagets ko yung lesson,yung teacher po kasi namin sa math ang bilis mag explain tas ang bilis burahin ng mga examples kaya di namin nagegets yung lesson 😭

[@kaizou9390]

Binomial theorem naman sunod kuya

[@queencyrellangeles7960]

thankyou sir for your effort to upload videos for our math lessons, simula grade 10 ako hanggang ngayong grade 11 shs na ako sobrang nakakatulong pagtuturo ninyo, kaya ipagpatuloy niyo lang po at pagpalain po kayo ni Lord:))

[@myghyywa]

San po kayo nagtuturo sir?

[@bryandelapena8771]

Thank you

welcome po pashare sa classmates

[@michaeljhadedemavivas9193]

How about the range po