06 - What is a Function in Math? (Learn Function Definition, Domain & Range in Algebra)

Get more lessons like this at www.MathTutorDVD.com.
Here you will learn what a function is in math, the definition of a function, and why they are important.
Functions have applications in algebra, calculus, science, and engineering. We first begin by describing a function as a mathematical machine that takes input numbers "x" and computes output numbers "f(x)".
We then describe the input numbers "x" as being the domain of the function, while the output numbers f(x) are the range of the function. We will plot several functions including linear functions, quadratic functions, cubic functions, and more.

[@jonroth9656]

I'm not trying to sell your ego, but if I had math teachers in high school explaining these concepts as you do i would have had at least a Master's degree in mathematics years ago. I look forward to more of your videos.

[@MathAndScience]

You’re welcome!

[@BoZhaoengineering]

This is awesome. This era nowadays are evolving times.

[@terilynnlittleberry7907]

@ Jon, I understand completely what you are saying. I would be certified as a math teacher as well too!

[@eminence8481]

Same mine just gets mad about us when we cant understand it and cant answer

[@lejoniphk2235]

true that

[@nadiaahinkora6205]

This Prof is a genius, I can't find words to describe his teaching skills. He has really demystified this topic. Bam

[@MathAndScience]

Thank you so much! Jason, MathAndScience.com

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Exactly

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for real

[@n7118x]

I graduated one of top engineering schools, but I struggled through all my math classes , even in HS. If I had the opportunity to learn it the way he teaches, I could have aced my math SAT and had all A in my math classes. Better late than never I guess!

[@emilshakhpandarov4492]

This guy just taught me what my teacher could not in 3 months

[@drew.t.ashton]

What grade are you in?

[@Dogoria]

8

[@Dogoria]

@@drew.t.ashton I am in 8 grade and math I have almost F+

[@Fl4meFlow]

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[@Fl4meFlow]

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[@ralphbutterworth9416]

I'm 68 and am trying to teach myself quantum mechanics. I am currently reading Schrodinger Equation book and I am so grateful for these videos with this teacher. He is brilliant at explaining things slowly and yet in depth. Can't thank him enough.

[@vaishnavijampala3178]

You mean your age is 68🙌

[@Ieyyskyeykryidyi122]

It's been a year. How old are you now🫣?

[@crispiiblizzard3929]

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R.I.P

[@Therizzler555]

It’s been a year you 69?

[@mokhan4748]

You got 5 stars for your knowledge and ability to explain in a way that a dummy like me can easily understand. Thank you Sir.

[@MathAndScience]

You are very welcome! Jason, MathAndScience.com

[@NeinaAbdulMajeed]

I real love the man teaching

[@daisycalder]

I'm studying for my finals and this is literally saving me! Thank you!

[@MathAndScience]

Awesome good luck on your exams!

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Goodness me too! My exam will partake in another two days, so I am preparing for it. I am currently scouring through different videos, untill I found this gentleman.

[@NokukhanyaMKHIZE-le2nc]

Me too 🙂

[@Sara-rc4mn]

This professor doesn't just know his math but knows how to teach it. Thank you!

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Can someone who is 38 go back to school and study civil engineering

[@williamjuliuskitha4861]

Why not? Am 41 just registered for BSc civil eng

[@dddaaa6965]

@@ronaldomondi-cc4nl did you do it? im going back to school at 30 and it sucks but im tired of being poor

[@alanpayne1442]

I am brushing up on my maths and physics to help my teenage grandson and I'm really getting into your videos as much for my own satisfaction. I wish that you had been my physics tutor at college 58 years ago when I was studying electrical engineering. I hope to watch all your lessons - most satisfying and enjoyable, thanks.

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That's adorable :v

[@NeinaAbdulMajeed]

Hello

[@NeinaAbdulMajeed]

How are you doing

[@tahiaparsha]

Sir,I dont know if you would be reading this or not. I just want to say that you're a great grandfather.

[@jacquesdorce7680]

Taking function more than 40 years ago, never remembered that it was so easy to understand. Wish I had a professor like you.

[@fatimabasson]

I also listen to his videos to help myself, to help my grandson who is in grade 2 now. I need to be ahead of him before he reaches high school 😁 I'm 69 years old, I might not even be around that time, but I don't care. I love these math videos 😃

[@mikey20is]

In a matter of minutes, you make what functions are have meaning and reason. When you have the logic of it, you can further understand the practical application , and this is coming from a 67 yo man. You're teaching, is really at another level. Thank-you.

[@user-ri2ms2mm7w]

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[@vishnusathasivanjoghee]

He simply excelled!

[@iwantriharjanto4288]

Thanks a lot. I'm 39 and still curious with math subjects that I learned over two decades ago. I even bought some math books for high schools, but none of them contains clear explanation like yours.

[@nextgensnip3r186]

nice 👍

[@programmingpersistence5716]

is there a reason you are studying maths? like a career change? or just for fun?

[@iwantriharjanto4288]

@@programmingpersistence5716 Initially it was intended for career change, but then I think I will too hard for me to compete with those math graduates. So now it's just for pleasure, just to prove to my self that I can beat it.

[@programmingpersistence5716]

@@iwantriharjanto4288 Thanks for replying..am on a similar journey aswell but to improve myself in my field

[@iwantriharjanto4288]

@@programmingpersistence5716 Are you a math teacher? Good luck then. :)

[@ASFilmStudios]

I'm 26 and I feel like I just discovered maths, fun stuff

[@prof_Sam_G]

It ain't fun 😢

[@yesimkhanh9932]

@@prof_Sam_G it is actually, if you will change your outlook for life, its gonna be, i used to be very good at math at young age, however loosed some abilities, but gaining it again, and learning a strong foundations, its a pleasurable cause now you understand everything, and u don't do all of the problems by like just knowing formulas, you can deeply analyze and solve it which is pleasuree

[@sabitrisingh577]

Yes

[@thefuturist47]

I'm relearning math in my 30s to change careers to data science and this guy helps me so much. I used to think that I was bad at math but I'm not - I've just had people explaining it to me badly.

[@4kspeedster185]

I'm 14 and math is to me a discussion just like science and physics. I truly enjoy math and my peers despise math idky

[@christinaibrahim7955]

Many people have learning disabilities and different learning skills. My 9th grade pre-algebra teacher made me sit on a stool with a (DUNCE) cap in front of my class! Ever since then, math was worse than any plague!!! You are one of two video tutors that gave me the confidence and determination to challenge mathematics head-on. Class of 2022!!!

[@Bob_2478]

😊

[@busters3333]

my teacher was to lazy to teach us this so she gave us this video. Byfar better than anything she would have done. Amazing lesson man!

[@MathAndScience]

Awesome glad to help. Thank you!

[@jhuzordiz8330]

Ahak nang imo teacher tapolan.

[@wonderman8537]

@@jhuzordiz8330 he just said that

[@HiHi-ek1dd]

lol

[@ousmanediallo-ne6mf]

Thanks God for KZbin and this awesome teacher!!i don’t think I need to go to my classes anymore....👏👏👏👏

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[@makandwemwape3058]

I have never encountered a good tutor as this man. Now am sure am clearing mathematical analysis this semester. Thanks Sir.

[@teresegarelbernard4775]

Wow what a maths teacher. I am 68 and doing these maths videos for intellectual stimulation and revision of school day maths. If I had had a teacher like you teaching me maths I would have been ace. You make maths less daunting and so easy to understand I will definitely be recommending your courses.

[@jje99]

You saved my life before my exam thank you

[@purplepuff420]

Seriously the best explanations! Thanks!

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This is what i call an amazing teacher

[@MathAndScience]

So happy you liked it! Jason, MathAndScience.com

[@user-ri2ms2mm7w]

My friends, search for your life purpose, why are we here?? I advise you to watch this series 👇 as a beginning to know the purpose of your existence in this life.. kzbin.info/aero/PLPqH38Ki1fy3EB-8xmShVqpbQw99Do2B-

[@daydreamsinmusic3050]

Wow! Finally a lesson that brings this subject 'down to earth'! I can't thank you enough!

[@louisbatshone4754]

I wish you existed 60 years ago to enjoy my mathematics then before graduating as an engineer

[@MathAndScience]

I really appreciate it! Jason, MathAndScience.com

[@levanevans2636]

My gf didn’t understand this, so I found the easiest way for her to understand, thank you.

[@mervismakasi779]

@Levan Evans may you please help me .l am struggling as well

[@lordx4641]

@@mervismakasi779 think of a function as a method lets say y=x here y is a triangle and x is gonna represent the sides of triangle. So here function is like a machine which is saying that this condition results in x. Fx=x means function of x=x meaning that fx=y as y=x so does fx =x the only difference here is that fx is said as function of x which is equal to y as y equals x .

[@mervismakasi779]

@@lordx4641 thank you

[@lordx4641]

@@mervismakasi779 sorry to complicate in the last line its simply that fx =y=x the only diff between fx and y is nothing but notations that isbdifferent label (names

[@mervismakasi779]

@@lordx4641 got it. It's now clear.

[@ellisstewart8905]

What a wonderful teacher! I needed a refresher so as to help my grandson with his math later today. This presentation did the job PERFECTLY!!!

[@MathAndScience]

So happy you liked it! Jason, MathAndScience.com

[@daisyedwards5608]

Im 65 and thought I was too stupid to learn anything math but I see it is completely understandable. I feel robbed by all those teachers who didn’t teach this subject well.

[@MathAndScience]

Thank you! It’s never too late to learn!

[@tembekamakonco4736]

I was robbed, they are still robbing our kids but I'm not taking it lying down

[@MatthewTheBunnies6142]

Omg you have lessons for everything; electricity, science, math. Wow your a genius.

[@cheewurz]

Thanks! Back in the 80's I made my way through Math, PreAlgebra, Algebra 1, Algebra 2, Advanced Algebra, Geometry, Trigonometry, Circuit Analysis, Transistor Analysis, etc in the evenings at the local Junior College for about 4 years with a 4.0 GPA. Life & Family soon became my Priority and I never got into Calculus. So, I figured I did pretty good thus far...how hard could it be? Ha...Calculus is Humbling! Especially if your on your own. Everything always started off with "Function of X"...WTF is that!? Why do they always start off like you already know what that is? Now I know and feel like I can now move forwards :) Your Explanation of the various "Functions of X" is well done and quite Informative too!!!

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[@user-ri2ms2mm7w]

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[@cardiyansane1414]

I’m so glad I stumbled onto this video….his explanation is amazingly easy to understand. Functions are fascinating

[@rezam1264]

As far as I remember this topic (functions and graphs) was the hardest I struggled to learn, however, you explained it in the best possible way for me (us). I wish you were my math teacher. Thanks for your work and I look forward to seeing more videos of you.

[@moderate.6021]

Finally, I clearly understand the terminology you explained perfectly, thank you, Jason, for making life easier.

[@MathAndScience]

Welcome!

[@mayanknetam6532]

There is only one word through which I can describe him, GENIUS.

[@user-ri2ms2mm7w]

My friends, search for your life purpose, why are we here?? I advise you to watch this series 👇 as a beginning to know the purpose of your existence in this life.. kzbin.info/aero/PLPqH38Ki1fy3EB-8xmShVqpbQw99Do2B-

[@cjlion7081]

just wanted to drop a note in here to recognize this man. you clearly put in a most sincere effort to explain and be thorough, and your dedication to covering all these topics with all of your videos, is working for me, helping me understand what I need to learn. But just as good approach, as well as thoroughness, is good enough, you have put on display a goodness that humans can have. to do a good job teaching and to help people and contribute to the good of others. good job well done on all of your many many videos, I've watched many now

[@milonadias3953]

this is the best math teacher i have ever seen

[@PaperMilk455]

this is literally the best explanation

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Am just full of it, 4 my finol

[@turalmammedov4314]

honestly he taught me more then any other teacher has ever try on teaching me. Thank You!

[@youtubeadventur]

Great

[@ConnorWilliamson-pf3zi]

@@youtubeadventur incredible, even

[@sonicboomish]

I've spent over 2 hours trying to understand all this & you just made me instantly get it in 10 mins. Thank you!

[@swissteriaa]

i think this is saving my skin,, got a maths tests tomorrow, and the teacher didnt explain any of this. he said, and i quote, 'do the curve thing'. never explained it, just told us to do it. bonus points because i just had 2 weeks off, asked for work so i wasnt behind, and didnt get any of it

[@lukesmith4971]

watching this the night before my exam. thank you #legend

[@ExabyteAU]

Absolute legend! Thanks for this, you've made mathematic functions easy to understand!

[@pillainag5378]

A marvellous teacher. At 70, I couldn’t stop the video halfway. Great lessons

[@casara555]

You sir will always be my favorite! I come to your videos almost in tears, and then you explain it to me in a way that I can understand. Thank you!!!

[@kuamdeng62]

I needed this for my assessment thank you soon much I love you for this

[@abdouliejanneh5548]

You made me fall in love with calculus, you're amazing keep enlightening us 👌🙏😆

[@aldritzbryancabrera9752]

This is too clear, like a spotless ocean that directly reflects what I exactly need to get. This precisely represents the perfect reviewer if you forgot why that certain function looks like that in the graph. Very much appreciated! Thank you.

[@vanderpoolfarmsl.l.c.9983]

This is one very fine teacher. One thing that students respond to is the enthusiasm and energy of the instructor for the subject. WOW! How could you NOT get into this lesson, given the excellent teaching and enthusiasm of it's presentation? GREAT JOB!!!

[@iRaviShekhar]

You're amazing... Keep up the good work.

[@egyptionpharaoh2463]

Wow this easy. Thank you Mr 💖

[@boyo9103]

This is the only video that ive seen that actually helped me to understand functions, this man explains everything so simply

[@renccris7705]

The only Prof that made me grasp math after watching a lot of math videos the past 10 years, THANK YOU!

[@laurajoseph3474]

Honesty I watch many video of this ,and this is the first time I understand it ,thank you much ,I have exam of it the 9 of this month ,so many thanks

[@diyyaishere1399]

Awesome way of teaching. A Perfect complete guide

[@youtubeadventur]

🤗🤗

[@iamckx8875]

I'm moving to grade 11 never listening to anything in class now realizing oh shoot university is around the corner so here to catch up on stuff and taking notes thank you!

[@L.stylz_]

Same

[@robertkay9349]

Yes! As Nadia Ahinkora said, demystifying. Thank you so much.

[@TF-cy9ei]

thanks i really learned something today thank you so much i have a really tough time in math and when i watch your videos i can understand it I will be watching more for more math help and it helps because i have ADHD and it grabs my atention and makes me focus i wish i had you as my teacher

[@MathAndScience]

You are so very welcome! Please keep at it and I am confident you will succeed!

[@dse2149]

May Allah Bless you, This concept was very difficult for me to learn but you are actually trying to teach people and not overcomplicating it as well thank you.

[@ASA_PUBG]

M 19:34 kbnbnm. ..

[@dharapatel7571]

This professor is a genius, and I am at a loss for words for describing his teaching abilities. He did a fantastic job of discussing this subject. If I had this teacher, I wouldn't ever dislike math.but it never gets late. I'm really thankful.

[@boboganbobogan9297]

You are definitely the best in explaining things. I have no words to describe your teaching skills.

[@s.t.k8606]

Thank you, professor. This helped me a lot.

[@youtubeadventur]

Cool

[@MA-rc2eo]

Great video, I'm watching in my time off so I can keep my mind sharp.

[@MathAndScience]

Good luck in your studies! Jason, MathAndScience.com

[@stephencoorie5786]

I have honestly evaluated myself as a education specialist through my own written instincts and teachers feedback practically thinking independently.Eventually assisting others.Great evaluation description.

[@ScienceBronzewall]

I started following you in 2020, and I enjoy your lessons so much. The way you break everything down for the comprehension of everyone not minding the age thrills me. Thank you so much. I have searched for you on other social media handles but couldn't find any.

[@MathAndScience]

You are very welcome!

[@danielax2350]

Thank you so much. I am beginning to understand functions a little bit better.

[@user-ri2ms2mm7w]

My friends, search for your life purpose, why are we here?? I advise you to watch this series 👇 as a beginning to know the purpose of your existence in this life.. kzbin.info/aero/PLPqH38Ki1fy3EB-8xmShVqpbQw99Do2B-

[@maramia-un2me]

Hey professor first of all I would like to say ur teaching skill is perfect I liked it very much and my opinion is it would be better if u make a live so that we can ask a question and u will answer as too and I like how u reply for students👏👍

[@endrishassen4717]

❤❤❤

[@ToTwigSN7180]

You made it look easy to learn function. You walk me through without being lost. Great guidance

[@KillersBF]

Thank you for this! Needed this for my GED and this is really helping me understand!

[@mrahmed4204]

this man has to be the best. i love ur way of explaining. your lesson is amazinggggggggg

[@MathAndScience]

So happy you liked it! Jason, MathAndScience.com

[@xxxisyanqar26kuluxxxd.craz90]

Im 13 and just into pyhsics but i need to learn math, then i started to learn math and now i love math more

[@roxnlol]

haklısın kardeşim

[@evlynealeshire5850]

Because of your instruction, I am able to understand many math concepts that have had me flummoxed my entire life. Your explanations and diagrams have opened up a difficult subject for me. For the first time in my life I am enjoying math. Yes, I am enjoying it!!! My sincerest thanks to you, Dr Math and Science! ❤️🌻♥️

[@disephigoni9381]

3 years later and it's still impactful..thank you for all you do

[@norage3106]

Thank you very much sir that's all I can say because what ever I say it's not going to be enough

[@musicfriend2051]

Honestly this teaching is so clear and made it easy to understand. he really wants us to understand every single things here, . Even a nerd like me understood him. I'm in middle of this video lesson and i couldn't stop myself from admiring his truly passionate teaching. Thank you. God bless you....

[@kaeswiss250]

I want to give you a high 5. You are an outstanding teacher. You just cleared up 20 years of misunderstandings about functions for me

[@rashidissa5887]

I did my Cambridge"O" level in 1967 and I was best in mathematics but I don't remember learning function then. Perhaps it was not in syllabus then but I don't think I would understand the subject unless you were the teacher to it.I am now grasping avery thing on this lesson my age (76) notwithstanding and enjoying the whole program.Thank you very much. I am still following maths lessons just for the love of it

[@nhw8906]

Thank you for the Great Video. Could you kindly share the title of the next video? I want to watch all your videos about Functions in the right sequence. Thanks again for the excellent explanation. 🙏🏻👏👍

[@cheewurz]

I have been trying to Teach myself Calculus for several years and until now I just could not get my head around "The Function" until now!

[@MathAndScience]

Awesome! You are well on your way!

[@alberteinsteinscousin5966]

Same started three days ago, thanks for explaining

[@sagars_01]

I have 8 years of software development experience and last time I learnt functions was 12 years ago. This Professor has just reprogmmed by brain. Huge Respect.

[@saemafahmi5283]

Iam studying for my GED and almost gave up on this topic, until I saw this video . Just saved me.Thank you for teaching step by step. May God bless you .

[@pharespuma1105]

I need to know, how we examine relation in a quadratic equation

[@ang8926]

I have to studying this in turkish idk why im here but that just made me understood everything. Woah amazing 🤷🏻‍♀️🤷🏻‍♀️😶

[@xxxisyanqar26kuluxxxd.craz90]

Jsjs aynı şekilde

[@noo8387]

I love ur lessons you r great teacher sir.. thanks alot

[@seemadhamu5414]

I like the way to you explain. Really helpful.I look forward to more of your videos. Thanks again prof.

[@UmairKhan_x]

Me in 12th grade finally understanding 8th grade maths.

[@eagul1]

Im in 5th grade and im this and i see high schoolers here thanks allot this really help me have a nice day!

[@MathAndScience]

You are welcome! Good luck in your studies!

[@sridharans9400]

Thank you Prof.Jason, your teaching is mindblowing .. Even the Prof from a premium institute in my country couldn't explain this well!! You are awesome

[@SamSaylay-nr7js]

My Name is Sam T.saylay am from west Africa Liberia. This Prof have taken away the fear of me reading mathematic at university and I want to say May God give you a longevity of life.

[@mervismakasi779]

Thank you! l get it

[@savagecabbage643]

Thank you so much for this video, I am studying for my midterms and this helped me a lot, thanks!!!

[@MathAndScience]

Welcome!

[@jennifervega914]

This is amazing and so helpful. Love how you explained what a function is.

[@morsmalum9625]

I'm Algerian, we learn with Arabic, But somehow i understood from this more than i did from Arabic lessons, Maybe because i used functions in coding, where i also learned coding using English. Interesting

[@PrimeTimeOse]

I’m In eight grade and I’m learning this imagine what is gonna happen to the kid in the future

[@MathAndScience]

I know right! Thanks!

[@sirwofamily527]

Professor what's is your address please, I need to be keeping in touch with you,you are really amazing teacher.. I am all the way from Masinde muliro university, Kenya I appreciate your teaching

[@eu6744]

that's sketch

[@operatorv.2443]

I’d just like to say thank you for how convenient this video is. I now have finally understood how this whole thing works.

[@noahmesfin5879]

I don't even need to take a note whatsoever this dude said. Everything goes straight into my brain. Thanks!!!

[@pinterappl3491]

im curious, what age do your schools teach you this stuff?

[@omgwhoisali]

mine at 12

[@aflgames6226]

For me 8th grade so 13-14

[@arpitkesharwani6851]

This was soo helpful. It was so confusing learning this math in Grade 7.

[@josh-brawlstars2870]

Arpit Kesharwani you learned it in grade 7?!

[@arpitkesharwani6851]

@@josh-brawlstars2870 Yes. Because I was in the Gifted and Talented program.

[@josh-brawlstars2870]

Arpit Kesharwani your lucky you’r school has that. My school/region always and I mean always follows with the student that takes time to learn things. This makes it very difficult to learn anything in school. So I watch these videos.

[@arpitkesharwani6851]

@@josh-brawlstars2870 Oh cool!

[@TheSakinatYalanye]

He explains perfectly and takes time when talking. He also repeat what he said that i love. Thank you man

[@josephinealanis9870]

your instruction is easy to follow well structured and you cover the material logically. Love your videos

[@Murderous_Moth]

FINALLY i learned how the hell im supposed to solve them functions

[@TEQSUN68]

I have been taught in my college Algebra class and watched a dozen videos on this but I Love the way YOU explain this! Thank you , thank you so much! I Immediately bought your online program.

[@MathAndScience]

Thank you so much! Jason, MathAndScience.com