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

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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

[@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]

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I was too

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

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[@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!

[@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.

[@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...

[@preciousx5181]

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

[@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.

[@CRProtab]

the best tutor ive even seen in my life

[@sadafsiddiqui9166]

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

[@korezua12]

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

[@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?

[@mohammedsohailkhan1724]

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

[@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

[@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

[@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 :)

[@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

[@naomiduntin3298]

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

[@gn3516]

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

[@Thanatoos]

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

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

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

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

[@lune1469]

Literally blessing in disguise! Thank you sooooo much! 💜

[@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

[@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.

[@Someone-g5s]

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

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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

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

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[@rukasihyogaswara6913]

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

[@tamaghnadey3050]

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

[@zazaza5535]

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

[@sneipstylive8325]

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

[@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

[@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 😉

[@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

[@hexigin8695]

This man is carrying my grades rn

[@waheedshersher8217]

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

[@hazimrassam9389]

i just noticed, right

[@ItsmePrinceShalan]

yes I saw that

[@haihaiiro]

Yeah

[@AbdulAziz-gz3wy]

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

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You made my grade 11 math way too easy

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

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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❤

[@rhyolitee]

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

[@sarahle7160]

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

[@AdityaSingh-ml9wn]

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

[@khalifaharuna9852]

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

[@g.a.2416]

56:54 is (-4,7)

[@niaris111]

this guy saves lives.

[@ms.mysterious7474]

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[@khymjubindultra457]

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You teaches better than allen coaching institute digital classes

[@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

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

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

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Yeah I need that

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i understand you better than our teacher on school

[@AsimAli-gj5wp]

it is more than helpful.. THANK YOU

[@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.

[@nchimunyabukoole5876]

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

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

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

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

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you are making education so easy thank you very much

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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......

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This guy is the goat. Thank you.

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U are such a blessing

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This teaches me more than a math lecture from my teacher

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30:00 is what i needed thanks

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Your just awesome math teacher

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I'm seriously praying for u

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this guy is a legend

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Your videos are the best on you tube.

[@GhostHacker97]

This clarifies so much thanks!

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Great teaching

[@enasgeravi4372]

شكرا و جزاك الله خيرا

[@jamesedwardtagalan2147]

Thank you so much Sir!

[@muhammadhadi9390]

Thank you very much. This really helped me

[@samarthsubbaraomullapudi7304]

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

[@ianjoseph5325]

I know it is kinda late but in minute 41:50 isn't the domain suppose to be D[3,positive infinity) since the value of the equation is greater than or equal to zero so -5 is not included?

[@anandkumar-hn6wc]

Thank you very much sir.

[@TimMorris1]

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

[@paulgeorgemuntean4186]

At 41:52 the D (-∞,-5⟧U⟦3,∞) are included for both -5 and 3?

[@georgewong6312]

Happy to see this. Scrolled to see if my answer is the same with others.

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

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such a live saver

[@hamdan9268]

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

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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)

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

[@jenilshah2231]

Books preferable for such questions?

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The reason i can sleep in my math lecturer's class LOL.. Thanks for great video btw ,keep it up !

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YOU ARE THE BEST!

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its very nice video,i learn a lot

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

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Ohh how he is so calm and cool

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Thanks..keep making such videos

[@sadafanwar9278]

best explanation