07 - What is an Exponential Function? (Exponential Growth, Decay & Graphing).

Рет қаралды 265,921

Күн бұрын

More Lessons: www.MathAndScience.com
Twitter: / jasongibsonmath
In this lesson, you will learn about the exponential function and its applications in math, science, and engineering. The exponential function is very simply a base raised to an exponent. The value of the base determines the shape of the graph of the exponential curve.
Exponential growth occurs when the base is greater than one. Exponential decay occurs when the value of the base is between zero and one. The base isn't allowed to be less then zero in an exponential function.
In this lesson we will graph the exponential function and discuss the shape of the curve. We will learn when the graph represents exponential growth and when it implies decay. We will also discuss applications of the exponential function in all branches of science, math, and engineering.

Пікірлер: 242

@robertmulback6239 4 жыл бұрын

You are a fantastic teacher I’m 75 years old studying math I went to college for a while but it’s been a while so I’ve been looking through your mathematics you’re really good at what you do I’m very proud of you

@MathAndScience 4 жыл бұрын

Wow thank you so much - your comment means a lot to me! Thank you again!

@sirousmohseni4 3 жыл бұрын

Hi Robert, I thought I am one of a kind to study math at higher age. Your comment made my day and made me more focused. Thanks

@johnrutland5663 2 жыл бұрын

I'm almost 75 , a 8th grader with some college courses later in life and a math lover . Absolutely love your teaching . You're dedicated to teaching and gotta be a genius mathematician

@jackflash8756 2 жыл бұрын

I'm 64 and now learning something new from this fantastic teacher every day.

@headbuttsforphaticcommunio3731 Жыл бұрын

Maths not 'math'. Mathematics is in the plural. Americans can't speak English.

@jonathanjudeoneildelisle481 2 күн бұрын

I'm absolutely certain that the number of students succeeding in Math & Science all over the world is growing exponentially because of these videos. The incredible service and contribution Jason is making in the world of math and science is incalculable. And, he's making many people's dreams come true. I wish I had had him as my math and science teacher when I was younger. Makes me sad to think how things would've turned out very differently for me. If I had children, I'd insist they watch and take notes on every subject he teaches. God bless this man.

@gedesangging112 Жыл бұрын

Sir, you are the one over a thousand teachers in this world who can truly explain how beautiful math is… I could never express my glad to you for creating this video… hope you can keep it up and blown our mind over and over again with your video❤

@avidrationalist7281 3 жыл бұрын

He is proving that someone doesn't need to be genius to understand mathematics, but an HONEST LISTENER. When you have a teacher of this nature, you just need to listen, and you are through..what a fantastic teacher..❤👌

@avidrationalist7281 3 жыл бұрын

He is not just teaching, he is demonstrating the BEAUTY OF MATHEMATICS...mind blowing teaching skills. 💖😍

@manuelfcasas3472 3 жыл бұрын

A delight of explanation! I am an engineer, 56 years old, and really struggled with math courses when I was at collegue. There were few books available explaining the subject: many were very confusing, others a bit less. Being able to go over these videos, hit pause at a point, go back, as many times as you want, is something someone trying to grasp key math concepts nowadays should not take for granted. There were times when studying was much more complicated and much less delightful.

@aaaaii6511 2 жыл бұрын

Im glad im not the only one.

@aaaaii6511 2 жыл бұрын

Nobody elses time or money on having to pay a teacher or have to use their time. I can can go over, and I don't have to feed this virtual teachers or wait for restroom brakes. Its simultaneous that my peers at age 18 don't take advantage of this is time saving and free. I feel as if the future when you are gone and all is taking a turn where an oligarchy happens and people go to be extremely poor and only the rich will have more and more because they worked for it. At the same time. I do not pity those who do not want to experience all aspects of life.

@shawnd.8498 2 жыл бұрын

Math can be fun if you grasp the concepts and terminology.

@jackiejarrell1335 3 жыл бұрын

i enjoy your videos.... im 57 em learning algebra to help my grandchildren with home schooling during covid ! 2021

@milinda2569 3 жыл бұрын

That's great!

@ssaha2749 3 жыл бұрын

Explained indepth of exponential function, thanks

@PrintPranav 2 жыл бұрын

@@ssaha2749 GREAT lol

@alyaspreetam5413 3 ай бұрын

I am 68 years old and Electrical Engineer by profession and Mathematics is my favourite subject. You demonstration skills are marvellous and has broaden my Concept at the grassroots level. You are a teacher of high caliber and hit/ awake the sleeping cells of mind very gently, and charge them basic original ideas for excellent concept clearance. I am so proud of you. I would like to request you to upload your videos on probabilits/ Permutations & Combinations . Thanks and God bless you.

@MathAndScience 3 ай бұрын

Wow thank you!!

@jeaniebee. 3 жыл бұрын

Thanks a lot! My Algebra 1 teacher barely knows how to explain anything so I was left confused but after watching this video I understand quite a bit.

@johnmaulkin-ur8lm Жыл бұрын

Just fantastic; I am 85 and hated math at school thanks to the ‘Christian Brothers’! How different it would be if I had had a teacher like you. Thank you.

@lentonlawrence Жыл бұрын

Some maths teachers send shivers down their students' spines. But this teacher dosen't just makes the subject enjoyable, he breaks it down for laymen to understand it. This is demystification of mathematics at its best !

@mufakkirhussain2816 4 жыл бұрын

Your videos are so interesting that I didn't even realize that how much time has passed

@omransaeed1988 3 жыл бұрын

This is so true, oh my god.

@ezraallen1550 Ай бұрын

4 Years old and still useful! I'm definitely coming back to this video for reference.

@ishanac 3 жыл бұрын

thank you so much! I'm studying for the SAT and this helped me a lot

@melsilva1940 2 жыл бұрын

me either

@antoniors 3 жыл бұрын

For the guys who do not understand why when 0 < b < 1 works in the way it does is just because when we have a fraction on the negative power we can always transform it to an integer with positive power. This is true for all exponents - x^-1 = 1/x and (1/x)^-1 = x^1. Example - 3 ^ -1 = 1/3^1 and (1/3)^-1 = 3^1

@MC-em7mu 3 жыл бұрын

Thank you so much, sir! This have been a really great help! I didn't even realize it's 45 minutes long. You made math sound really fun and interesting here, it's never boring to watch! Well done!

@stephensonal4082 2 жыл бұрын

I like the way you put maths and science into context - you are a good teacher. Thank you for being you

@MathAndScience 2 жыл бұрын

Awww thanks!

@mrkylejaypadilla2563 2 жыл бұрын

PERFECT EXPLANATION! Application and Real-life situation scenes. He talks at the right speed.

@taleishaadams6899 6 ай бұрын

Was excellent at math until I had a seizure years ago. It wasn't until I returned to college recently, I realized how much memory was lost of my favorite subject. I have to relearn everything, but many teachers and tutors nowadays don't have the patience or lack the passion to thoroughly explain the subject. That is what I'm needing. Because of the quality in your videos, I have been able to relearn and retain. You are a true blessing and excellent at what you do. Thank you so much!

@ryanhayes5475 2 жыл бұрын

Awesome treatise to the most important function in math. Teaching Algebra 2 this year and will definitely be using this as a source of inspiration. Thank you for making this!

@berhanekidane5572 Жыл бұрын

I found your way of teaching very impressive and your Lesson has been prepared in a simplified way.I had never been to any higher education in my Eritrea. I enjoyed your Math Lesson greatly.I am 80 years old.Thank you very much Sir.

@binodk2561 9 ай бұрын

Best Mathematics Teacher in the World... Amazing knowledge

@goriolaganiu403 3 жыл бұрын

Am very happy to have met you.Your explanation is always supported with common sense which many of us need for pure understanding

@unzilaunzila3980 2 жыл бұрын

A brilliant teacher of Mathematics 🧮

@Ahtohallan. 2 жыл бұрын

OH MY GOD, oh my allah. Thank you so freaking much. You’re the best maths teacher I’ve ever seen. You’re so good, i never understood a lesson this fast. Omg am so happy that I found this channel today!!

@Devarati 2 жыл бұрын

Awesome and Amazing teacher. Best among the best. I am short of adjectives to define my reaction when I watch your lessons. It’s magical, emotional and enlightening in every sense. Thank you so much.

@felixyongco4420 Жыл бұрын

He is such an amazing Maths Tutor. I have learnt esp. f ( x ) = ( - 2. ) ^ x is. impossible .. because the raising on the value of X goes haywire..esp raising to. odd number for the power VALUE of X . Thanks Sir Jason.. very clear instruction and highly eduvational video..

@alexandregavaza3882 3 жыл бұрын

Amazing teacher. We can feel your passion and you are able to get us confident. Never saw Math as something so easy but now I feel like should specialize on this amazing module. Congratulations...

@niceguy4801 3 жыл бұрын

Thankyou sir, you are the best teacher I never had

@so-rendom 4 ай бұрын

I was Preparing for iit jee and his videos helped me alot and now I'm an iitian ❤️❤️

@shaymaa8007 3 жыл бұрын

I kinda addicted your videos, you’re awesome

@olgasantiago2033 2 жыл бұрын

You are the best teacher ever. Your explanation is marvelous ✨. Thank you so very much. I didn't know anything about exponential fuction but now I feel that I know everything about it 😌.

@olajumokefamuyide9640 2 жыл бұрын

I honestly can't thank you enough for this lesson.

@emekaosegbo37 Жыл бұрын

Your teaching method is great. I'm thrilled.

@leomcinston8667 8 ай бұрын

Wow. I'm short of words but all I can say is thank you Sir. You're really amazing.

@swadeshtaneja3512 3 жыл бұрын

If some hits dislike button for such awesome lectures then I request them to give the reason also so that we know what is wrong with the lecture..Is it the content or presentation?

@Rasha.Hussein44 Жыл бұрын

I watch all your videos they are helping me for the SAT

@gautamroychoudhury2735 Ай бұрын

You are an wonderful teacher.

@AbdurrahmanAllahem 4 жыл бұрын

Thank you. A great memory refreshing.

@jay22197 3 жыл бұрын

such an amazing instructor, makes you want to learn

@Mikael97 3 жыл бұрын

Great lesson sir, I am 23, I didn’t learn exponential function in high school, but now you made it clear to me,I am watching your lesson from 🇧🇷, I enjoys it,anyway thanks a lot.

@Ahtohallan. 2 жыл бұрын

What are you watching it for? Sorry just curious

@Mikael97 2 жыл бұрын

@@Ahtohallan. I work in a Bank, we use it exponential function to define interest rate on loans

@Ahtohallan. 2 жыл бұрын

@@Mikael97 ah cool cool. Have a good day :)

@ariturbo4094 2 жыл бұрын

Great mentoring ,,,,, deep respect,,,, you have beautiful handwriting Sir

@Ilovegojosm 10 ай бұрын

افضل من دكتورتنا 🫂

@frankbrady1949 3 жыл бұрын

My grandson's Algebra 1 (8th grade) course deals with exponential functions but his text doesn't have enough to increase his understanding of them. You're presentation provided that understanding. Thanks.

@Cheesecakeriver 5 ай бұрын

i'm currrently getting ready for a math exam, then I can start studying abroad! and your video is AMAZING. Thanks 🩷🩷🩷

@manojishere Жыл бұрын

Everything very beautifully explained.

@florentinosanchez3969 4 ай бұрын

You are the best teacher!!!

@ellafeng6087 2 жыл бұрын

Very clear , conscise and made me focus on the lesson! Thank you so much! You are amazing!

@priyankanajwa5111 2 жыл бұрын

Amazing! bravo ! thank you so much, i'm not usually comment on youtube videos, but your teaching is the best so far for me until now. Thank you so much!

@user-dh3tr5lu1k 2 жыл бұрын

Hello as a 9th grader who wants to study physics and mathematics these videos are very helpful. Thank you!

@yafy.5158 4 жыл бұрын

you are the greatest Teacher ever!

@roysmith3198 4 жыл бұрын

I agree. He teaches why more than how, that is the biggest advantage when learning. I only watched about 3 of his videos and he became my favorite.

@philipjohn1338 7 ай бұрын

Master of teaching

@moes.d6548 4 жыл бұрын

Thank you, excellent teacher!

@Rasha.Hussein44 Жыл бұрын

BEST MATH TEACHER EVER !!!

@attiaali3813 Жыл бұрын

Fantastic Teacher!

@user-su4ex2ps6q 9 ай бұрын

I enjoy your teaching tutor and I hope and i hope i will understand this topic more than other topics

@patriciab1681 Жыл бұрын

Nice and refreshing to learn in simplified explanations thank you

@enlightenedindia6428 Жыл бұрын

Simply great greatly simple and loveable

@dayanandetubone9077 3 жыл бұрын

Thanku sir, this is what I am learning real maths.its very interesting.

@navindraarjunaabeyesekera7864 2 жыл бұрын

Yes . You are a Good Teacher

@binodnepal2715 Жыл бұрын

Profound lessons. Keep it up. Recommend everyone

@attentionsparkbiz 3 жыл бұрын

This guy deserves a webby award for his KZfaq teaching capabilities. You, sir, made me fall in love with mathematics.

@MathAndScience 3 жыл бұрын

Wow thanks!

@bilalbakoleismail5324 7 ай бұрын

A perfect teacher

@hazelchong5111 2 жыл бұрын

watching your vids make me a better teacher

@Dk-hh4sl 2 жыл бұрын

I echo others comments. You are a fantastic teacher. I wish i could have you as my teacher in school.... thanks !

@mahipalratheerohtak7956 Жыл бұрын

A teacher with subject knowledge

@MrMossadiq 2 жыл бұрын

Amazing. I enjoy to learn from him.

@nynmlg2299 2 жыл бұрын

No one in Germany explains it so good! Thank you sir

@Breazyy1 Жыл бұрын

Thank you for these videos man, you have helped me so much to understand functions. You sir are a legend!

@devnshugarg6255 3 жыл бұрын

Thanku so much sir...yes you fulfilled my curiosity completely.

@SsLoage 2 жыл бұрын

AHHHH THANK YOU I LEARNED SO MUCH I hope i can pass my algebra😭💖💖💖

@gulshanbibip3687 Жыл бұрын

You are amazing teacher

@phugoid 2 жыл бұрын

Lovely lesson. I just wish you'd explained what the actual implication of a fractional base, viz. an exponential depletion of whatever it is that we're calculating for. For countries with a population growth rate of under 1, the implications for the future should be obvious

@iariiarina9580 3 жыл бұрын

Thank you so much for this video!

@pramodinilavanya6102 Жыл бұрын

Amazing explanation

@MathAndScience Жыл бұрын

Thanks so much!

@johnroberts7529 Жыл бұрын

Wow! What a great lesson; a real pleasure to watch and listen to. Thank you so much for the all the hard work that you must have made to put it together. When you 'went' negative that really caught my attention. (-2) ^X for instance... there must be discontinuities on the graph eg (-2)^0.5.

@erinhefferin859 3 жыл бұрын

Thank you for this.

@ariturbo4094 2 жыл бұрын

I m starting to become tutor in math as for my retirement job,,,, going back to this math tutorial is like refreshment after 28 yrs leaving university

@marijana128 6 ай бұрын

you never disappoint

@alialameer7553 2 жыл бұрын

Great teacher, thank you

@briannyirenda5924 Жыл бұрын

I do enjoy your teaching

@helennagawa1678 2 жыл бұрын

May God bless you Sir, exponentially. 😄

@charlesward8196 Жыл бұрын

I like the way the bell doesn’t ring for class change, just when things are getting to the meat of the problem!

@MathAndScience Жыл бұрын

Nice! Hadn’t thought of that!

@jay_wright_thats_right 6 ай бұрын

I really like this man.

@maleeshapriyanjana7604 3 ай бұрын

Great great help!

@w0mblemania 2 жыл бұрын

This is an excellent video. Thank.

@anirbanc88 Жыл бұрын

sir, you are a genius teacher!

@MathAndScience Жыл бұрын

Thanks so much!

@sallaklamhayyen9876 3 жыл бұрын

brilliant explanation = brilliant teacher = thank you son much

@larysamakar9333 4 жыл бұрын

Love from Norway!

@RahulSingh-fk8dh 2 жыл бұрын

Thanks for the explanation

@victorsanchez-wg1rz 3 жыл бұрын

GRACIAS MIL POR LA PESENTACION...SALUDOS DESDEEL REINO DE LOS KITUS (Quito-Ecuador)

@sirousmohseni4 3 жыл бұрын

Thanks for the video. As Robert Mulback said, you are really good at teaching. I am 60 and I got to burn this topic on my brain.

@mahendarreddykura6250 3 жыл бұрын

Nice explanation 👌🏾

@SirAtticus 3 жыл бұрын

best teacher in the world

@Aminhelal210 2 жыл бұрын

You are a great teacher

@XAUGEEK 3 жыл бұрын

What computer program is that that drew the graph for you at the beginning?

@paulbany6603 4 жыл бұрын

Well done

@remanbist3622 3 жыл бұрын

thank you so much sir much love!!

@RNms79977 4 жыл бұрын

I have a question about triple integration. Can you help me?

@piyushjha1892 4 жыл бұрын

Ty Sir from India 😍