Domain and Range Functions & Graphs - Linear, Quadratic, Rational, Logarithmic & Square Root

[@TheOrganicChemistryTutor]

Domain & Range - Free Formula Sheet: bit.ly/4eheN2W Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

[@abhigyansrivastava4247]

at 35:35 shouldn't it be negative infinity to positive 4 as domain

[@brodyharlan1331]

0:00 Intro + general rules 12:57 Linear functions 15:04 Quadratic functions 21:17 Quadratic functions in vertex form 23:08 Cubic functions 25:00 Larger polynomials 26:25 Square root functions 37:21 Cubic root functions 39:00 Quadratics under the radical 44:05 Rational functions 47:50 Square root in denominator 51:42 Quadratics in numerator/denominator 1:00:40 Absolute value functions 1:02:30 Exponential functions 1:05:38 Logarithmic functions 1:11:38 Trigometric functions (sin + cos) 1:15:30 Trigometric functions (tan) 1:17:11 Conclusion

[@sentinel_1752]

the_brodes legend

[@hannanbaig7888]

Salute to you the_brodes

[@anandkumar-hn6wc]

Thank you brodes

[@moaadmustafa2233]

why did u waste ure time doing this

[@ashwinalagendran6748]

SuperiorTitanx he didn’t waste his time, he used his time to help us and that isnt viewed as a waste of time as he probably enjoys helping people

[@younomehomie]

im not saying khan academy is not good but the way you explain it is so much easier to understand then him thank you so much

[@TheOrganicChemistryTutor]

Thank you.

[@larcous.7457]

same here

[@smarti1144]

it's more detailed. the Khan academy is kind of like a refresher or for those who have had one lesson already.

[@Sweetysweets1999]

True, tho I use khan academy as a refreshment before exams or a lecture or after I’ve studied the topic since they teach as if you have an idea of what the topic is about which I really like and is less time consuming (videos aren’t too long)

[@tjdeguzman803]

@@TheOrganicChemistryTutor first time to see you replying haha

[@dan-ishin3793]

Amazing. If only I found this sooner, cause what our prof taught was quite simple, but when it’s time for an activity, everything feels different. The same content taught, but so different at the same time it’s like the prof didn’t teach the same thing as before. So, thanks for this!

[@dieformk]

i was struggling with domain for so long and this guy literally explained in less than 2 seconds. Amazing

[@lancemesa6980]

Fun fact: u lied, it cant be explained in less than 2secs lmao

[@dieformk]

@@lancemesa6980 smh its an overexaggeration fool

[@user-ki6pt2zg1h]

Watch this video examination in life never give up-kzbin.info/www/bejne/oWXaZaOXoJtpjJI

[@Keldrei22]

@@lancemesa6980 ikr stfu lance

[@behailunadew6139]

I was too

[@ngwanesimwaba5550]

You literally deserve awards for your brilliancy in your teachings not only for math but for all four sciences :)

[@deceriejunsay4702]

K😊😊🥊🥊😊😊😊🥞😊😊🍖😊🍖🍖🍞🍖🥊🥊🥊🥊🥊🥊🥊🥊🥊🥊🥊🥊🥊😊🥊🥊😊😊😊😊🥊🥊😊🥊🥊😊😊🥊

[@deceriejunsay4702]

K😊😊🥊🥊😊😊😊🥞😊😊🍖😊🍖🍖🍞🍖🥊🥊🥊🥊🥊🥊🥊🥊🥊🥊🥊🥊🥊😊🥊🥊😊😊😊😊🥊🥊😊🥊🥊😊😊🥊

[@deceriejunsay4702]

55r41rqrq4444

[@deceriejunsay4702]

55r41rqrq444444f4

[@deceriejunsay4702]

E😊4

[@juanthegodlyhorse6647]

35:42 - you should've written (-infinity , *+*4] BTW very nice teaching

[@12framez60]

yo, that's right ! , i was about to type it when i found your comment

[@Circa1628]

@@12framez60 I know, I rewinded several times, thinking OH NO?! am i not understanding something. Almost went into a i'm-bad-at- math esteem spiral

[@ngazibini.n2559]

no the domain is correct. the graph is the one thats wrong. it all begins with the shifting, its shifted 4 units to the left so it begins at -4 not 4

[@mansursaz1421]

yeh

[@OliviaRoedel]

@@ngazibini.n2559 So I'm not saying your wrong, I'm just confused, because we solved for x making it x less than or equal to 4. Meaning it could be 4 and less. And then I look back at the original equation and y is negative and so it x, so therefore how would it be in any other quadrant. Can you more in depth explain where you got -4 from please and thank you.

[@Pitiedowl]

This dude is the first time ill actually support someone on patreon! count me in guru!

[@prototype3162]

i do too! i was always feeling to pay in a way back this dude for all the stuff i learned for free and when i found his patreon i didn t need it to think two times...

[@Raevenswood]

seriously you are my go to guy for supplementing the lectures I get from my professor. sometimes he only can explain it one way but you seem to have a knack for connecting with my learning style. Just FYI your videos helped me get an A in Algerbra 1 last semester. Thank you.

[@preciousx5181]

Watching from Zambia, Thank you very much for this eye-opening lesson on functions.

[@sadafsiddiqui9166]

You are the only one who gives tons of example! Thank you!

[@janetauseuga8951]

You have no idea how AWESOME you are!!!! (I'm sure you probably do, but)...THANK YOU! THANK YOU! THANK YOU! You explained it so well, that everything that I was confuse with, with most of my instructors, became so clear. Thank you.

[@RupeshKumar-vq1vv]

is it helping you now ..?? 😁 cz it's been 4 yrs ,

[@ian.ambrose]

@@RupeshKumar-vq1vv ? What do you mean

[@ian.ambrose]

@@RupeshKumar-vq1vv What you tryna say? What is your point bruh? Speak up

[@RupeshKumar-vq1vv]

@@ian.ambrose like what ? what are you asking about ? what you didn't got ?

[@ian.ambrose]

@@RupeshKumar-vq1vv Wanna fight?

[@sweetness4j1]

youre the reason i dont listen in class mate, i know that your videos always clarify things

[@Aaron-v8m9j]

Thats what fools do. They only rely on one person. You can still get invaluable information from your teacher and gain a more solid understading through different teachings. LOL about this comment.

[@Aaron-v8m9j]

And its you're, not youre, thats not a word.

[@I-Fail-A-Lotl]

​@aaron9262 bro I wish that were the case for my physics class, teacher just bullies you 💀 Though yeah paying close attention and taking notes on everything written is the way to go

[@sekaopelaelo1934]

​@@Aaron-v8m9j😂 but in the end you got what they meant 💀🤲

[@ninabarakat6200]

@@Aaron-v8m9jIt’s “it’s”, not “its”; that word doesn’t make sense here. And since you want to be such a smart-ass, you comma spliced. dumbass kid

[@mohammedsohailkhan1724]

Your work is ineffable! May God bless you and offer better rewards for all you consistent quality efforts... Thank you.

[@tspizemediaservices6254]

Thanks my lecturer ...really appreciate this powerful knowledge. .much love from Zimbabwe!

[@Aaron-v8m9j]

cringe

[@mcrshmelly]

@@Aaron-v8m9jget a job

[@Someone-g5s]

@@Aaron-v8m9j the fact that i see you in every freaking comment section...its giving obsession💀 get a life and don't comment "cringe" on a math video

[@leenbaitalmal1583]

mistakes i noticed: 35:42 - you should've written (-infinity , *+*4] 42:00 D (-∞,-5⟧U⟦3,∞) are included for both -5 and 3

[@Laithlaith-p6s]

yes me to I find it mistake

[@AhmedAMayow]

-5 is not included because (x-3) substitute it gives you -8 but 3 is included.

[@sarahjaneelumba9395]

​@@AhmedAMayowthe input for the x-3 doesnt really matter if the difference of the other equation is 0

[@sarahjaneelumba9395]

thus, anything that gets multiplied by 0 will be 0 and that aint no undefined for radicals

[@naomiduntin3298]

Is the voice for me so soothing an relaxing..Thanks for helping me understand maths.

[@iradukundasolange7180]

Your way of teaching is very nice it isn't difficult to understand

[@gn3516]

You are the reason why i enjoy studying Math. Nobody else explain it how you do... STAY BLESSED!!!!!

[@levi_ackerman824]

At 56:55 you wrote (-4,-7) instead of (-4,7). I was confused at first but then I understood. But thank you so much for this video. It helped me a lot :)

[@Thanatoos]

this guy literallt teachea us for 1hour straight. i am greatful for this guy.

[@LauraTeAhoWhite]

I feel like I just leveled up 10 points, this is amazing!

[@Someone-g5s]

THANK YOU SM YOUR A LIFE SAVER (ima go tell all my friends about your channel)

[@mashaeldosari7428]

This channel is why I got an A in physics last year and now it's helping with my advanced classes

[@pooransingh1882]

An excellent lesson on analysis of functions. This would be a great help to students in university algebra.

[@mirotransformers2012]

I really appreciate it bro , Now I know how to get the Range. I always used to get confused.

[@iqbalmahmudmoon3965]

Same here

[@korezua12]

If you are searching for 15:50 Yes, he meant the "exponent", not the leading coefficient. You're welcome

[@phucdangchannel]

I'm so glad i don't live in the older generations where the internet did not exsist

[@SM-qn7sr]

My cousin had to buy math books for dummies to understand each lecture lmaoo

[@gachiedr.]

Great, your methods are easily comprehensible.

[@knightn-i-nja5950]

Thank u sooooooooooooooooo much sir I'm sure I'm gonna score full mark thanks to ur video i just come back to say tht I wish u the best year❤

[@lune1469]

Literally blessing in disguise! Thank you sooooo much! 💜

[@VsroYT]

GET THIS MAN TO 1 MILLION SUBSCRIBERS HE DEFINITELY DESERVES IT!

[@mughira1012]

Well I've got some good news for you he's currently at 2 million subscribers!

[@mcrshmelly]

@@mughira10127 mil now

[@alifupm1803]

thank you , you are my lifesaver .. pray for my 1st semester test next week ;)

[@sappy2079]

You made my grade 11 math way too easy

[@rukasihyogaswara6913]

Very big thank you.....!!!!! Stay healthy, God bless you

[@kasuyp]

Thank you very much.. I am a math teacher but I really find your tutorial videos helpful on how to make the topics in math easier for the students.. Godbless brother

[@sneipstylive8325]

He is so much better at teaching this than teachers.. no offense teachers

[@hillalworldly732]

Thank you, I won't forget the day I found your channel, I just want to tell you that you helped many students so you have to proud of yourself 😉

[@waheedshersher8217]

in the minute 35.31 the domain is (-infinity, +4]

[@hazimrassam9389]

i just noticed, right

[@ItsmePrinceShalan]

yes I saw that

[@haihaiiro]

Yeah

[@zazaza5535]

Closed circle refers to 'equal to', an open circle refers to 'greater or lesser than'.

[@tamaghnadey3050]

The vertical asymptote for the last question would be R - {x:x=(2n+1)*π/2, n ε Z, x ε R}

[@hexigin8695]

This man is carrying my grades rn

[@sarahle7160]

Thanks God... This is so much easier to understand than my teacher...He has spent for 3 days for teach it...

[@aesthete8237]

Sir I just want to correct the little mistake on your last example for quadratic function. It should be positive 7 instead of negative 7. But great, great, great video Sir. I salute and admire you alot Have a nice day

[@aesthete8237]

At this 56:58

[@niaris111]

this guy saves lives.

[@khalifaharuna9852]

words can't describe how helpful you are. Thanks.

[@vinitagarwal5767]

Amazing bro, you explain so easily and make it simple, perfect

[@todayiglowup4286]

u are a fucking life saver bro, ur video was the perfect thing i needed to review all my domains and ranges. like literally u have no idea how grateful i am to you

[@ms.mysterious7474]

This cant get any better

[@shashwatkumar6248]

You teaches better than allen coaching institute digital classes

[@brwashkurismail2556]

i understand you better than our teacher on school

[@aicellecawili1267]

Hi! Can you be my regular tutor :) coz youre an AWESOME TUTOR that I like especially when it comes in Math.:) thank you

[@abhinaysinha5313]

Please make a video on how to find the range of a function your videos are very helpful for children who are going from 11th and 12th class

[@rhyolitee]

Thank you so much, you make it very easy to understand the concepts being taught.

[@AsimAli-gj5wp]

it is more than helpful.. THANK YOU

[@hopeforall-mp9db]

U are such a blessing

[@David-ob1so]

30:00 is what i needed thanks

[@georgeedward9271]

This teaches me more than a math lecture from my teacher

[@khymjubindultra457]

THANK YOU VERY MUCH MAN, OUR PRELIM IS TOMMORROW. YOU HELPED ME A LOT, FOREVER GRATEFUL TO THIS KZbin CHANNEL :D :D (y) (y) I SUBSCRIBED

[@mirazreigns6048]

I'm watching from bangladesh...it is very very helpful for us...I've many problems on functions I didn't understand that...but now it getting much imoroved...thank you sir......

[@ゴロゴロ素人]

I’m Japanese high school student. In Japan, we learn things about functuons like this video when we are 16 years so I think Japanese education is advanced.

[@hi-ib6es]

in the usa i learned this at 15

[@multimeme5935]

no you are not.

[@AdityaSingh-ml9wn]

At 41:57 you should have put closed brackets around -5 and 3 as they can be included

[@yeeunpark8291]

Your just awesome math teacher

[@gloooopgloop]

Tip after watching this video- Add time straps in the description

[@chin5983]

Yeah I need that

[@parakhsharma429]

you are making education so easy thank you very much

[@nchimunyabukoole5876]

I always find what I need from you, thank you, you have nice explanations

[@AbdulAziz-gz3wy]

I am from Yemen....My name is Abdulaziz...I don't speak English but the numbers are easy....I want to learn....

[@enasgeravi4372]

شكرا و جزاك الله خيرا

[@g.a.2416]

56:54 is (-4,7)

[@MrNorthDraws]

Your videos are the best on you tube.

[@nathanielsteviedandradecar8287]

This guy is the goat. Thank you.

[@abhishekkulkarni7057]

this guy is a legend

[@hamayoonshah1990]

The name of this channel should be “the one man army in every field”

[@r.n3838]

Great teaching

[@ms.mysterious7474]

I'm seriously praying for u

[@samarthsubbaraomullapudi7304]

You are one of the best - and I have learnt a lot from you.

[@wizyoni3217]

You have no idea how AWESOME you are💯💯💯

[@bogadipoloko2679]

such a live saver

[@katecallao5758]

My math teacher works hard but The Organic Chemistry Tutor works harder oWo

[@muhammadhadi9390]

Thank you very much. This really helped me

[@GhostHacker97]

This clarifies so much thanks!

[@anandkumar-hn6wc]

Thank you very much sir.

[@TimMorris1]

I'm so happy I found your channel. It's helped me so much. Thank you !

[@MrsKobes]

YOU ARE THE BEST!

[@jamesedwardtagalan2147]

Thank you so much Sir!

[@sultangaddafi8698]

I hated math until i met the organic chem tutor and now i've been acing A's in my finals

[@sadafanwar9278]

best explanation

[@joshuaivan620]

my algebra teacher would make it way harder than what it actually was

[@waheedshersher8217]

this video is amazing, I feel proud to listen to your videos man.

[@moazmizan7576]

Ohh how he is so calm and cool

[@staywithstraykids4145]

God bless you always

[@giemarcabreros6133]

its very nice video,i learn a lot

[@jenilshah2231]

Books preferable for such questions?

[@hamdan9268]

35:24 domain should be (-infinity,4] rather than -4

[@mr.nobody8958]

Man you're great but I think u should try to make your videos more sorts because it's looks like a lecture!

[@Ms452123]

The length is what makes it good, everyone else makes short videos that don't cover enough examples. How can you complain about more content? You can easily watch as much as you like then leave the rest for a later day.

[@phucdangchannel]

The longer the better.What you come here on youtube for a 5 minute youtube video?For example you have a cal 3 test and how good is 5 minutes or 20 minutes going to do you?Think about other people as well.they need this too.

[@SM-qn7sr]

I actually like it when he makes comprehensive, long thorough videos

[@maryamrahmannia4812]

You are the bestttt

[@alvinali2425]

Kendrick might not be my savior but you are😂❤

[@mohamedembaby8493]

instead of opening the interval with a closed bracticies open it with an open interval ex [2,5[ means [2,5)

[@ethiosuccess3205]

God bless you.

[@alvb4601]

سبحان الله وبحمده سبحان الله العظيم 🌼🌷🌼🌷🌼🌷🌼🌷🌼🌷🌼🌷🌼 اللهم اني اسألك الهدى، والتقى، والعفاف، والغنى، والمغفرة من كل ذنب. 🦋🌹🦋🌹🦋🌹🦋🌹🦋🌹🦋🌹🦋 اللهم اني اسألك النجاح والتوفيق ⚘

[@Ffaeee]

alla ywfgk w ywfgna