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.
Пікірлер: 1 200
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
4 жыл бұрын
You’re welcome!
@BoZhaoengineering
4 жыл бұрын
This is awesome. This era nowadays are evolving times.
@terilynnlittleberry7907
4 жыл бұрын
@ Jon, I understand completely what you are saying. I would be certified as a math teacher as well too!
@eminence8481
4 жыл бұрын
Same mine just gets mad about us when we cant understand it and cant answer
@lejoniphk2235
3 жыл бұрын
true that
This Prof is a genius, I can't find words to describe his teaching skills. He has really demystified this topic. Bam
@MathAndScience
4 жыл бұрын
Thank you so much! Jason, MathAndScience.com
@alok66jain57
3 жыл бұрын
Zrtuuju bnmdyv burr lund bhjku Muh chusna ghudfgtb.
@user-ki6pt2zg1h
3 жыл бұрын
See this video examination in life never give up-kzread.info/dash/bejne/nWirltKam5mchpM.html
@JustBecuzz
3 жыл бұрын
Exactly
@nadiaahinkora6205
3 жыл бұрын
@Electra You don't know what you talking about. That's the short form of "Professor" The only mistake is I didn't put a stop there to indicate it's a short form.
This is a teacher. The sincerity and the wanting of the students to know and understand is really appreciated.
@hencexperfect
3 жыл бұрын
for real
@n7118x
2 жыл бұрын
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!
This guy just taught me what my teacher could not in 3 months
@drew.t.ashton
3 жыл бұрын
What grade are you in?
@Dogoria
3 жыл бұрын
8
@Dogoria
3 жыл бұрын
@@drew.t.ashton I am in 8 grade and math I have almost F+
@Fl4meFlow
3 жыл бұрын
bro, i don't even speak English and this statement of you is also true for me
@Fl4meFlow
3 жыл бұрын
@@Dogoria I'm also in 8th grade and I also almost got an F+ . Very sad
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
Жыл бұрын
You mean your age is 68🙌
@Ieyyskyeykryidyi122
Жыл бұрын
It's been a year. How old are you now🫣?
@crispiiblizzard3929
Жыл бұрын
@@Ieyyskyeykryidyi122 how did i see this so early
@musicbeast6230
Жыл бұрын
R.I.P
@Therizzler555
Жыл бұрын
It’s been a year you 69?
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
4 жыл бұрын
You are very welcome! Jason, MathAndScience.com
@NeinaAbdulMajeed
Жыл бұрын
I real love the man teaching
I'm studying for my finals and this is literally saving me! Thank you!
@MathAndScience
4 жыл бұрын
Awesome good luck on your exams!
@Christina-ok8zd
2 жыл бұрын
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
7 ай бұрын
Me too 🙂
This professor doesn't just know his math but knows how to teach it. Thank you!
@ronaldomondi-cc4nl
11 ай бұрын
Can someone who is 38 go back to school and study civil engineering
@williamjuliuskitha4861
11 ай бұрын
Why not? Am 41 just registered for BSc civil eng
@dddaaa6965
Ай бұрын
@@ronaldomondi-cc4nl did you do it? im going back to school at 30 and it sucks but im tired of being poor
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.
@user-ri2ms2mm7w
2 жыл бұрын
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.. kzread.info/head/PLPqH38Ki1fy3EB-8xmShVqpbQw99Do2B-
@lianacavanaugh6378
2 жыл бұрын
That's adorable :v
@NeinaAbdulMajeed
Жыл бұрын
Hello
@NeinaAbdulMajeed
Жыл бұрын
How are you doing
@tahiaparsha
10 ай бұрын
Sir,I dont know if you would be reading this or not. I just want to say that you're a great grandfather.
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
2 жыл бұрын
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.. kzread.info/head/PLPqH38Ki1fy3EB-8xmShVqpbQw99Do2B-
@vishnusathasivanjoghee
2 жыл бұрын
He simply excelled!
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
3 жыл бұрын
Awesome glad to help. Thank you!
@jhuzordiz8330
2 жыл бұрын
Ahak nang imo teacher tapolan.
@wonderman8537
2 жыл бұрын
@@jhuzordiz8330 he just said that
@HiHi-ek1dd
Жыл бұрын
lol
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
Жыл бұрын
😊
Taking function more than 40 years ago, never remembered that it was so easy to understand. Wish I had a professor like you.
@fatimabasson
2 жыл бұрын
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 😃
This is what i call an amazing teacher
@MathAndScience
4 жыл бұрын
So happy you liked it! Jason, MathAndScience.com
@user-ri2ms2mm7w
2 жыл бұрын
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.. kzread.info/head/PLPqH38Ki1fy3EB-8xmShVqpbQw99Do2B-
Thanks God for KZread and this awesome teacher!!i don’t think I need to go to my classes anymore....👏👏👏👏
@user-ri2ms2mm7w
2 жыл бұрын
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.. kzread.info/head/PLPqH38Ki1fy3EB-8xmShVqpbQw99Do2B-
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
3 жыл бұрын
nice 👍
@programmingpersistence5716
3 жыл бұрын
is there a reason you are studying maths? like a career change? or just for fun?
@iwantriharjanto4288
3 жыл бұрын
@@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
3 жыл бұрын
@@iwantriharjanto4288 Thanks for replying..am on a similar journey aswell but to improve myself in my field
@iwantriharjanto4288
3 жыл бұрын
@@programmingpersistence5716 Are you a math teacher? Good luck then. :)
I'm 26 and I feel like I just discovered maths, fun stuff
@prof_Sam_G
4 жыл бұрын
It ain't fun 😢
@yesimkhanh9932
3 жыл бұрын
@@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
3 жыл бұрын
Yes
@thefuturist47
3 жыл бұрын
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
3 жыл бұрын
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
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.
You saved my life before my exam thank you
I have never encountered a good tutor as this man. Now am sure am clearing mathematical analysis this semester. Thanks Sir.
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
4 жыл бұрын
So happy you liked it! Jason, MathAndScience.com
Wow! Finally a lesson that brings this subject 'down to earth'! I can't thank you enough!
Seriously the best explanations! Thanks!
Omg you have lessons for everything; electricity, science, math. Wow your a genius.
I wish you existed 60 years ago to enjoy my mathematics then before graduating as an engineer
@MathAndScience
4 жыл бұрын
I really appreciate it! Jason, MathAndScience.com
My gf didn’t understand this, so I found the easiest way for her to understand, thank you.
@mervismakasi779
4 жыл бұрын
@Levan Evans may you please help me .l am struggling as well
@lordx4641
4 жыл бұрын
@@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
4 жыл бұрын
@@lordx4641 thank you
@lordx4641
4 жыл бұрын
@@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
4 жыл бұрын
@@lordx4641 got it. It's now clear.
this is literally the best explanation
@oburejohn4409
3 жыл бұрын
Am just full of it, 4 my finol
Finally, I clearly understand the terminology you explained perfectly, thank you, Jason, for making life easier.
@MathAndScience
4 жыл бұрын
Welcome!
honestly he taught me more then any other teacher has ever try on teaching me. Thank You!
@Healthsolution.694
Жыл бұрын
Great
@ConnorWilliamson-pf3zi
Ай бұрын
@@Healthsolution.694 incredible, even
There is only one word through which I can describe him, GENIUS.
@user-ri2ms2mm7w
2 жыл бұрын
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.. kzread.info/head/PLPqH38Ki1fy3EB-8xmShVqpbQw99Do2B-
this is the best math teacher i have ever seen
watching this the night before my exam. thank you #legend
Absolute legend! Thanks for this, you've made mathematic functions easy to understand!
you are the best teacher I have ever seen, good work.
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
Awesome way of teaching. A Perfect complete guide
@Healthsolution.694
Жыл бұрын
🤗🤗
I needed this for my assessment thank you soon much I love you for this
The best teacher here🎉
Excellent teachers are a rare breed and he definitely belongs
You made me fall in love with calculus, you're amazing keep enlightening us 👌🙏😆
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
4 жыл бұрын
You are so very welcome! Please keep at it and I am confident you will succeed!
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!!!
The only Prof that made me grasp math after watching a lot of math videos the past 10 years, THANK YOU!
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
Great video, I'm watching in my time off so I can keep my mind sharp.
@MathAndScience
4 жыл бұрын
Good luck in your studies! Jason, MathAndScience.com
I've spent over 2 hours trying to understand all this & you just made me instantly get it in 10 mins. Thank you!
I’m so glad I stumbled onto this video….his explanation is amazingly easy to understand. Functions are fascinating
You're amazing... Keep up the good work.
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
3 жыл бұрын
Thank you! It’s never too late to learn!
@tembekamakonco4736
3 жыл бұрын
I was robbed, they are still robbing our kids but I'm not taking it lying down
This is the only video that ive seen that actually helped me to understand functions, this man explains everything so simply
You are definitely the best in explaining things. I have no words to describe your teaching skills.
Thank you so much. I am beginning to understand functions a little bit better.
@user-ri2ms2mm7w
2 жыл бұрын
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.. kzread.info/head/PLPqH38Ki1fy3EB-8xmShVqpbQw99Do2B-
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!!!
@user-ri2ms2mm7w
2 жыл бұрын
What Really Happened in Afghanistan, The Untold Story 👇 kzread.info/dash/bejne/fH-FqI-CmcaZm6w.html
@user-ri2ms2mm7w
2 жыл бұрын
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.. kzread.info/head/PLPqH38Ki1fy3EB-8xmShVqpbQw99Do2B-
Beautiful human being! Thank you!
A marvellous teacher. At 70, I couldn’t stop the video halfway. Great lessons
Wow this easy. Thank you Mr 💖
Thank you, professor. This helped me a lot.
@Healthsolution.694
Жыл бұрын
Cool
This man is the best I have seen on KZread for teaching the math theory, helps way more!
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.
this man has to be the best. i love ur way of explaining. your lesson is amazinggggggggg
@MathAndScience
5 жыл бұрын
So happy you liked it! Jason, MathAndScience.com
Me in 12th grade finally understanding 8th grade maths.
You made it look easy to learn function. You walk me through without being lost. Great guidance
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! ❤️🌻♥️
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
11 ай бұрын
M 19:34 kbnbnm. ..
Thank you very much sir that's all I can say because what ever I say it's not going to be enough
Too good. This makes you realize that very few teachers can teach mathematics. Keep up the good job.
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....
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. 🙏🏻👏👍
Thank you for this! Needed this for my GED and this is really helping me understand!
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!!!
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
Жыл бұрын
❤❤❤
I need to know, how we examine relation in a quadratic equation
I’d just like to say thank you for how convenient this video is. I now have finally understood how this whole thing works.
your instruction is easy to follow well structured and you cover the material logically. Love your videos
I have to studying this in turkish idk why im here but that just made me understood everything. Woah amazing 🤷🏻♀️🤷🏻♀️😶
@xxxisyanqar26kuluxxxd.craz90
3 жыл бұрын
Jsjs aynı şekilde
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
3 жыл бұрын
haklısın kardeşim
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
4 жыл бұрын
Thank you so much! Jason, MathAndScience.com
3 years later and it's still impactful..thank you for all you do
Thank you! l get it
I’m In eight grade and I’m learning this imagine what is gonna happen to the kid in the future
@MathAndScience
4 жыл бұрын
I know right! Thanks!
I like the way to you explain. Really helpful.I look forward to more of your videos. Thanks again prof.
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.
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
4 жыл бұрын
Awesome! You are well on your way!
@alberteinsteinscousin5966
4 жыл бұрын
Same started three days ago, thanks for explaining
Im in 5th grade and im this and i see high schoolers here thanks allot this really help me have a nice day!
@MathAndScience
4 жыл бұрын
You are welcome! Good luck in your studies!
All the way from Kenya...thanks so much I understood
Excellent teaching! Very clear and easy to understand. Tons of thanks!
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
2 жыл бұрын
that's sketch
Thank you so much for this video, I am studying for my midterms and this helped me a lot, thanks!!!
@MathAndScience
4 жыл бұрын
Welcome!
this video was very helpful and easy to understand! Thank you!
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
im curious, what age do your schools teach you this stuff?
@omgwhoisali
3 жыл бұрын
mine at 12
@aflgames6226
3 жыл бұрын
For me 8th grade so 13-14
This was soo helpful. It was so confusing learning this math in Grade 7.
@josh-brawlstars2870
3 жыл бұрын
Arpit Kesharwani you learned it in grade 7?!
@arpitkesharwani6851
3 жыл бұрын
@@josh-brawlstars2870 Yes. Because I was in the Gifted and Talented program.
@josh-brawlstars2870
3 жыл бұрын
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
3 жыл бұрын
@@josh-brawlstars2870 Oh cool!
Hat off to you … your explanations are so straightforward and easy to understand … if only every Maths teacher had your skill !!
I got interested to watch your math tutorials even im not studying. Your explanation is very clear, you’re better than my instructor before.
FINALLY i learned how the hell im supposed to solve them functions
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
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 .
I struggle to sleep, but 5 minutes of my maths class will send me straight to sleep. But this guy....Kept me awake and helped me ACED MY TEST! Please keep the videos coming, you are a great teacher.
This is amazing and so helpful. Love how you explained what a function is.
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