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

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.

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.

please sir don't stop teaching and making videos like this. You are very intelligent person. I have never seen a teacher like you before !!! THANKS a lot!!!!!!!!!!!!!!!!

This is a teacher. The sincerity and the wanting of the students to know and understand is really appreciated.

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

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.

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

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!!!

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

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.

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

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.

hey, to anyone who feels hopeless rn, im in college calculus and my dumbass doesn't have the fundamentals down, so im here at 1 am. Im not worried, im just learning. If im out here doing this, you're already doing better than me and should relax and keep on learning haha

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

This is what i call an amazing teacher

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

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

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

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!!!

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

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!!!

Seriously the best explanations! Thanks!

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

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

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! ❤️🌻♥️

this is literally the best explanation

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

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

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

I am 67 years, interested in learning maths concepts. It's really good to learn from you,sir. Thank you.

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

OMG I ITS LIKE A SOMEONE UNLOCKED A PART OF MY BRAIN TO UNDERSTAND THIS. I've always had issue with understanding what f(x) was and how it impacted graph. THANK YOU FOR EXPLAING THIS SO CLEARLY!

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

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

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.

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

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

Awesome way of teaching. A Perfect complete guide

I had a Russian teacher who did not care to take the time to explain this technique as you did, and my class could not understand through her thick Russian Accent, omg I wish I could have had you as a teacher to explain to us. It would have made a big difference. Now that I understand your concept it makes understanding this so easy. thank you so much Math Science. Your the greatest and you broke this down to us

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

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

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 so much! I asked my high school teacher what is a function. We were doing functional exuations but I had no idea what they are. She couldn't explain. After 10 mins of whatching this I understand it. When you drew the graph of function f(x) = x^3 I instantly got it why is it like that. Before I had no idea what those graphs represent.

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. 🙏🏻👏👍

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 .

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.

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

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

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

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

Sir I'm so grateful for your videos . I'm appearing for competitive exams in India where this chapter is very important. However being from medical background I couldn't understand it. After watching almost 10 videos I reached here and I've never been the luckiest. Thank you so much .

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

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.

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.

Why can't you write a book ? Your explanation is so really

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

you are the best teacher I have ever seen, good work.

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

Excellent teachers are a rare breed and he definitely belongs

I'm honestly thankful I came across this channel. my daughter is taking algebra her first time ever and AP... with a horrible teacher who doesn't believe in actually teaching or notes.... 🤦🏻‍♀️ just watch a brief video, either get it or you don't.. here's the worksheet and do it. Told her to ask questions/make it a habit (she's 12, so learning to over come that fear of asking questions and taking quicker notes...), but her teacher responds with, "you'll figure it out as we go along..." luckily, algebra has been one of my stronger areas, but trying to remember from high school. when she shows me her homework and asks, I'm like oh this and that.... not fully paying attention... then give it a 2nd look and I'm like 😳... noticed all the answers were correct but always told her if she can explain/show me how she got her answer then I know she fully understands. she blantantly said, it doesn't make any sense and this is what the teacher told us to write down and we moved on to the next chapter..clearly mentioned no 1 else in her class understood either and even tried asking, to be dismissed. she kind of had an idea, just that uncertainty and I couldn't think how to simplify from the beginning... point being, less than 10 so far of watching this video and I already know this video will help explain and make sense quickly w/o the stress. thank you for breaking it down into layman terms.. explaining the ins and outs and why it's called function of x.... etc etc etc she's been sick the last week in a half, so with already a bs teacher then so far behind knowing her teacher will just say... you'll catch up...... just 🙅🏻‍♀️ nope. (picked up her work and go figure.... not a single page of notes... just the work) exactly why I always worked w/ her over the summer for years. never know.. anyways... sorry for the long comment.... thank you so much for this video.

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.

Thank you sir Currently in a math class and I'm not sure they really want me to understand, they short hand all explanations where you actually explain them in depth

Wow this easy. Thank you Mr 💖

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

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

This man is such a swell prof. Im relearning math thanks to some videos that set me back on which paths to take, and I am visiting functions; these explanations are clear, and his love for the art is amazing. I appreciate how you "summarized" each "f" of various "x"s (x^2, x^3, x^4, 1/x, |x|, and sin(x)) it was very useful to grasp the visual concept of what each one looked like.

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

This RU-vid page is a hidden gem 💎 . ❤

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

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.

I'm testing for my TASC Monday , this is helping me so much. Thank You

Thank you, professor. This helped me a lot.

The best explanation ever I've came across.Even my Math Teacher can't explain clearly like this.

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

This man is the best I have seen on RU-vid for teaching the math theory, helps way more!

This may sound trivial or hair-splitting, but I'd prefer to hear, "A function is a machine that USES values of x to generate y." I think students will relate to that quicker than most other phraseology. In other words, plug in a value of x and the function spits out a value of y. You did a good job. It was lots better than Mr. Bloom the freak who pretended to teach us Calculus 101 & 102 did.

Thank you! l get it

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.

I think the reason this topic is tough is because we don’t have a good explanation or overview of what it is and some different ways we might see it. In fact I think all of math is like that, How many of you can recall doing the textbook problems and then you get the homework and can’t figure out how to do a problem because it looks different in some way? It’s because we aren’t taught to know, we are often just taught to memorize. Math is so much more enjoyable in my experience if I have concepts broken down like this. Great job!

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.

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

its awesome. i always confuse on funtions so mostly skip theim but the way you teaches us its very amaizing i actually wonna be a teacher like you . whole of concept is printed in my mind repectively . thanks again for teaching in this depth.....................

This is awesome I had to go into a lot of sites but none of them were as good as this thanks

Hat off to you … your explanations are so straightforward and easy to understand … if only every Maths teacher had your skill !!

Excellent, I wasn't really into math in high school and teachers didn't explain these to make sense tbh, now I don't even study anything related to math in uni, nontheless I really like your content and watch them as a leasure activity

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

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

For some strange reason I have struggled to understand functions and finally I can say I have understood thanks to this excellent teacher

This was the first RU-vid video I have ever watched about math functions. Thank You for this too (next to electrical engineering)!

I think the teacher plays a great role in invoking/maintaining/developing interest of students.

Beautiful human being! Thank you!

I CANNOT FATHOM HOW GRATEFUL I AM FOR THIS CHANNEL. WOW

You are terrific. I could follow all your explanation with pleasure. Thank you for your time and knowledge. 👍

Thanks to your tutorials, I aced my math exam! Your explanations were clear and concise, and I felt confident going into the test.

Great work and thank you for make my study easy.

Dude, you rock! Thank you so much. You're clear as crystal blue waters.

My guy has so much patients he deserves 100 million subs

When I was in primary school (an Arab country) our math teacher used to beat us without any reason, it was since then that I hated maths and thought that I would'nt understand things because of the evil teacher.........Your videos give me hope and I will watch them to sit for a GRE exam, it's true that GRE math is not that difficult but I forgot many things from middle school onwards.............I juse want to thank you for another thing , statistics . Your videos on statistics were so helpful and because of them I had a very good mark in a universitiy module on the subject.......Thank you so much teacher, you are the best

He is really the best teacher have ever seen .I have even got 98% in math beacause of him thank you so much Mr teacher I really appreciate ur services

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