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

Поделиться
HTML-код
  • Опубликовано: 16 янв 2025

Комментарии • 253

  • @robertmulback6239
    @robertmulback6239 4 года назад +267

    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
      @MathAndScience  4 года назад +52

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

    • @sirousmohseni4
      @sirousmohseni4 3 года назад +22

      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
      @johnrutland5663 3 года назад +10

      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
      @jackflash8756 2 года назад +5

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

    • @headbuttsforphaticcommunio3731
      @headbuttsforphaticcommunio3731 2 года назад

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

  • @gedesangging112
    @gedesangging112 Год назад +19

    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❤

  • @jonathanjudeoneildelisle481
    @jonathanjudeoneildelisle481 5 месяцев назад +1

    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.

  • @avidrationalist7281
    @avidrationalist7281 3 года назад +8

    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..❤👌

  • @manuelfcasas3472
    @manuelfcasas3472 4 года назад +21

    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
      @aaaaii6511 2 года назад +1

      Im glad im not the only one.

    • @aaaaii6511
      @aaaaii6511 2 года назад

      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
      @shawnd.8498 2 года назад

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

  • @lentonlawrence
    @lentonlawrence Год назад +1

    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 !

  • @alyaspreetam5413
    @alyaspreetam5413 8 месяцев назад +1

    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.

  • @zuhairalsaffar7001
    @zuhairalsaffar7001 Месяц назад +1

    You are amazing teacher and perfect teacher ❤️ 😍 💕 💖

  • @jackiejarrell1335
    @jackiejarrell1335 3 года назад +31

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

    • @milinda2569
      @milinda2569 3 года назад +2

      That's great!

    • @ssaha2749
      @ssaha2749 3 года назад

      Explained indepth of exponential function, thanks

    • @PrintPranav
      @PrintPranav 3 года назад

      @@ssaha2749 GREAT lol

  • @avidrationalist7281
    @avidrationalist7281 3 года назад +14

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

  • @mufakkirhussain2816
    @mufakkirhussain2816 4 года назад +42

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

  • @johnmaulkin-ur8lm
    @johnmaulkin-ur8lm Год назад +5

    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.

  • @stephensonal4082
    @stephensonal4082 3 года назад +2

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

  • @surajshukla6813
    @surajshukla6813 5 месяцев назад +1

    My favourite teacher 😊

  • @jeaniebee.
    @jeaniebee. 3 года назад +17

    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.

  • @binodk2561
    @binodk2561 Год назад

    Best Mathematics Teacher in the World... Amazing knowledge

  • @mrkylejaypadilla2563
    @mrkylejaypadilla2563 3 года назад +1

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

  • @antoniors
    @antoniors 4 года назад +4

    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

  • @ishanac
    @ishanac 4 года назад +23

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

  • @MC-em7mu
    @MC-em7mu 4 года назад +11

    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!

  • @gautamroychoudhury2735
    @gautamroychoudhury2735 7 месяцев назад +1

    You are an wonderful teacher.

  • @michellekarmand
    @michellekarmand Месяц назад

    The best teacher on youtube ❤️

  • @ryanhayes5475
    @ryanhayes5475 3 года назад +4

    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
    @berhanekidane5572 Год назад

    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.

  • @Devarati
    @Devarati 2 года назад +2

    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.

  • @alexandregavaza3882
    @alexandregavaza3882 3 года назад +16

    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...

  • @goriolaganiu403
    @goriolaganiu403 3 года назад +1

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

  • @leesummers7461
    @leesummers7461 13 дней назад

    You are so good at explaining math. I wish I knew of this channel when taking Calc I through Calc III.

  • @Ahtohallan.
    @Ahtohallan. 3 года назад +1

    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!!

  • @unzilaunzila3980
    @unzilaunzila3980 2 года назад +1

    A brilliant teacher of Mathematics 🧮

  • @maleeshapriyanjana7604
    @maleeshapriyanjana7604 8 месяцев назад +1

    Great great help!

  • @mahmoodbhamji6279
    @mahmoodbhamji6279 21 день назад

    Fantastic demonstrations and explanations. My two favourite numbers are zero (0) and one (1). So much rides on these two. Thank you.

  • @priyankanajwa5111
    @priyankanajwa5111 3 года назад +1

    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!

  • @shaymaa8007
    @shaymaa8007 4 года назад +3

    I kinda addicted your videos, you’re awesome

  • @leomcinston8667
    @leomcinston8667 Год назад

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

  • @olgasantiago2033
    @olgasantiago2033 2 года назад +2

    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 😌.

  • @Rasha.Hussein44
    @Rasha.Hussein44 Год назад

    BEST MATH TEACHER EVER !!!

  • @niceguy4801
    @niceguy4801 3 года назад +2

    Thankyou sir, you are the best teacher I never had

  • @Olajumoke-c3t
    @Olajumoke-c3t 3 года назад +3

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

  • @yafy.5158
    @yafy.5158 4 года назад +2

    you are the greatest Teacher ever!

    • @roysmith3198
      @roysmith3198 4 года назад

      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.

  • @Mikael97
    @Mikael97 3 года назад +1

    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.
      @Ahtohallan. 3 года назад +1

      What are you watching it for? Sorry just curious

    • @Mikael97
      @Mikael97 3 года назад

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

    • @Ahtohallan.
      @Ahtohallan. 3 года назад +1

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

  • @taleishaadams6899
    @taleishaadams6899 11 месяцев назад +1

    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!

  • @ariturbo4094
    @ariturbo4094 3 года назад +1

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

  • @emekaosegbo37
    @emekaosegbo37 Год назад

    Your teaching method is great. I'm thrilled.

  • @jay22197
    @jay22197 3 года назад +2

    such an amazing instructor, makes you want to learn

  • @binodnepal2715
    @binodnepal2715 Год назад

    Profound lessons.
    Keep it up.
    Recommend everyone

  • @ellafeng6087
    @ellafeng6087 2 года назад

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

  • @patriciab1681
    @patriciab1681 2 года назад

    Nice and refreshing to learn in simplified explanations thank you

  • @florentinosanchez3969
    @florentinosanchez3969 10 месяцев назад

    You are the best teacher!!!

  • @manojishere
    @manojishere 2 года назад +1

    Everything very beautifully explained.

  • @ХристиянРусев-т9о
    @ХристиянРусев-т9о 2 года назад

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

  • @Rasha.Hussein44
    @Rasha.Hussein44 Год назад

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

  • @frankbrady1949
    @frankbrady1949 3 года назад

    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.

  • @felixyongco4420
    @felixyongco4420 Год назад

    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..

  • @ezraallen1550
    @ezraallen1550 7 месяцев назад

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

  • @Rythyll
    @Rythyll Год назад

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

  • @DengMMajak
    @DengMMajak Год назад

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

  • @aboodsalim858
    @aboodsalim858 4 месяца назад

    It's really that this video getting old but it's very very important,interesting and helpful thank you very much you make this big problem easy...so thank you ❤🎉

  • @swadeshtaneja3512
    @swadeshtaneja3512 4 года назад +1

    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?

  • @nirajpandey2853
    @nirajpandey2853 Месяц назад

    Wish all the teachers are like you I guarantee no one will leave science stream in India

  • @johnroberts7529
    @johnroberts7529 Год назад

    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.

  • @Ilovegojosm
    @Ilovegojosm Год назад

    افضل من دكتورتنا 🫂

  • @AbdurrahmanAllahem
    @AbdurrahmanAllahem 4 года назад +4

    Thank you. A great memory refreshing.

  • @hazelchong5111
    @hazelchong5111 2 года назад

    watching your vids make me a better teacher

  • @attentionsparkbiz
    @attentionsparkbiz 4 года назад +1

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

  • @enlightenedindia6428
    @enlightenedindia6428 2 года назад

    Simply great greatly simple and loveable

  • @attiaali3813
    @attiaali3813 Год назад

    Fantastic Teacher!

  • @Dk-hh4sl
    @Dk-hh4sl 3 года назад

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

  • @philipjohn1338
    @philipjohn1338 Год назад

    Master of teaching

  • @mahipalratheerohtak7956
    @mahipalratheerohtak7956 2 года назад

    A teacher with subject knowledge

  • @navindraarjunaabeyesekera7864
    @navindraarjunaabeyesekera7864 2 года назад

    Yes . You are a Good Teacher

  • @pramodinilavanya6102
    @pramodinilavanya6102 2 года назад +1

    Amazing explanation

  • @so-rendom
    @so-rendom 10 месяцев назад

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

  • @nynmlg2299
    @nynmlg2299 3 года назад

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

  • @SirAtticus
    @SirAtticus 4 года назад

    best teacher in the world

  • @MrMossadiq
    @MrMossadiq 3 года назад

    Amazing. I enjoy to learn from him.

  • @gulshanbibip3687
    @gulshanbibip3687 2 года назад

    You are amazing teacher

  • @bilalbakoleismail5324
    @bilalbakoleismail5324 Год назад

    A perfect teacher

  • @w0mblemania
    @w0mblemania 2 года назад

    This is an excellent video. Thank.

  • @sallaklamhayyen9876
    @sallaklamhayyen9876 4 года назад

    brilliant explanation = brilliant teacher = thank you son much

  • @briannyirenda5924
    @briannyirenda5924 2 года назад

    I do enjoy your teaching

  • @Aminhelal210
    @Aminhelal210 3 года назад

    You are a great teacher

  • @marijana128
    @marijana128 Год назад

    you never disappoint

  • @SsLoage
    @SsLoage 2 года назад +1

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

  • @RahulSingh-fk8dh
    @RahulSingh-fk8dh 2 года назад

    Thanks for the explanation

  • @phugoid
    @phugoid 2 года назад +1

    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

  • @charlesward8196
    @charlesward8196 2 года назад

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

  • @victorsanchez-wg1rz
    @victorsanchez-wg1rz 3 года назад

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

  • @mahendarreddykura6250
    @mahendarreddykura6250 4 года назад

    Nice explanation 👌🏾

  • @anirbanc88
    @anirbanc88 2 года назад

    sir, you are a genius teacher!

  • @alialameer7553
    @alialameer7553 3 года назад

    Great teacher, thank you

  • @ariturbo4094
    @ariturbo4094 3 года назад

    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

  • @moes.d6548
    @moes.d6548 4 года назад +1

    Thank you, excellent teacher!

  • @dayanandetubone9077
    @dayanandetubone9077 4 года назад

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

  • @اوروبيمودعببنكلعربيلحرامي

    Awsome teacher

  • @jay_wright_thats_right
    @jay_wright_thats_right 11 месяцев назад

    I really like this man.

  • @alihassaalix931
    @alihassaalix931 3 года назад

    perfect explanation.

  • @erinhefferin859
    @erinhefferin859 4 года назад +1

    Thank you for this.

  • @devnshugarg6255
    @devnshugarg6255 3 года назад

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

  • @ngm_86
    @ngm_86 4 года назад +1

    wowww,...just an amazing explain :)
    i did not feel how time has pass

    • @ayaaya6496
      @ayaaya6496 3 года назад +1

      Woow You are an Arab like me ♥️😇😁

    • @ayaaya6496
      @ayaaya6496 3 года назад +1

      Woow You are an Arab like me ♥️😇😁

    • @ngm_86
      @ngm_86 3 года назад +1

      @@ayaaya6496 hi
      Yeah..nice to meet you❤️❤️❤️