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

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.

[jonroth]

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.

[nadiaahinkora]

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

[ralphbutterworth]

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.

[govindkanan]

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

[AbrahamHailemichael]

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

[daisycalder]

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

[emilshakhpandarov]

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

[mokhan]

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.

[alanpayne]

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.

[mikeyis]

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.

[iwantriharjanto]

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.

[christinaibrahim]

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!!!

[Sara-rcmn]

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

[matchalattee]

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

[jacquesdorce]

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

[ousmanediallo-nemf]

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

[busters]

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!

[ellisstewart]

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!!!

[makandwemwape]

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

[teresegarelbernard]

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.