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

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  • เผยแพร่เมื่อ 25 ส.ค. 2024

ความคิดเห็น • 243

  • @robertmulback6239
    @robertmulback6239 4 ปีที่แล้ว +254

    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 ปีที่แล้ว +52

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

    • @sirousmohseni4
      @sirousmohseni4 3 ปีที่แล้ว +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 2 ปีที่แล้ว +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 ปีที่แล้ว +5

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

    • @headbuttsforphaticcommunio3731
      @headbuttsforphaticcommunio3731 2 ปีที่แล้ว

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

  • @gedesangging112
    @gedesangging112 ปีที่แล้ว +15

    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❤

  • @manuelfcasas3472
    @manuelfcasas3472 3 ปีที่แล้ว +19

    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 ปีที่แล้ว +1

      Im glad im not the only one.

    • @aaaaii6511
      @aaaaii6511 2 ปีที่แล้ว

      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 ปีที่แล้ว

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

  • @avidrationalist7281
    @avidrationalist7281 3 ปีที่แล้ว +6

    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..❤👌

  • @jackiejarrell1335
    @jackiejarrell1335 3 ปีที่แล้ว +27

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

    • @milinda2569
      @milinda2569 3 ปีที่แล้ว +1

      That's great!

    • @ssaha2749
      @ssaha2749 3 ปีที่แล้ว

      Explained indepth of exponential function, thanks

    • @PrintPranav
      @PrintPranav 2 ปีที่แล้ว

      @@ssaha2749 GREAT lol

  • @avidrationalist7281
    @avidrationalist7281 3 ปีที่แล้ว +13

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

  • @mufakkirhussain2816
    @mufakkirhussain2816 4 ปีที่แล้ว +42

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

    • @omransaeed1988
      @omransaeed1988 3 ปีที่แล้ว +1

      This is so true, oh my god.

  • @jonathanjudeoneildelisle481
    @jonathanjudeoneildelisle481 หลายเดือนก่อน

    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.

  • @jeaniebee.
    @jeaniebee. 3 ปีที่แล้ว +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.

  • @alyaspreetam5413
    @alyaspreetam5413 4 หลายเดือนก่อน +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.

  • @ishanac
    @ishanac 4 ปีที่แล้ว +23

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

  • @johnmaulkin-ur8lm
    @johnmaulkin-ur8lm ปีที่แล้ว +4

    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
    @lentonlawrence ปีที่แล้ว

    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 !

  • @antoniors
    @antoniors 3 ปีที่แล้ว +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

  • @MC-em7mu
    @MC-em7mu 3 ปีที่แล้ว +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!

  • @stephensonal4082
    @stephensonal4082 2 ปีที่แล้ว +2

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

  • @ryanhayes5475
    @ryanhayes5475 3 ปีที่แล้ว +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!

  • @alexandregavaza3882
    @alexandregavaza3882 3 ปีที่แล้ว +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...

  • @mrkylejaypadilla2563
    @mrkylejaypadilla2563 2 ปีที่แล้ว +1

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

  • @berhanekidane5572
    @berhanekidane5572 ปีที่แล้ว

    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 ปีที่แล้ว +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.

  • @goriolaganiu403
    @goriolaganiu403 3 ปีที่แล้ว +1

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

  • @olgasantiago2033
    @olgasantiago2033 2 ปีที่แล้ว +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 😌.

  • @taleishaadams6899
    @taleishaadams6899 7 หลายเดือนก่อน +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!

  • @felixyongco4420
    @felixyongco4420 ปีที่แล้ว

    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..

  • @niceguy4801
    @niceguy4801 3 ปีที่แล้ว +2

    Thankyou sir, you are the best teacher I never had

  • @so-rendom
    @so-rendom 5 หลายเดือนก่อน

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

  • @olajumokefamuyide9640
    @olajumokefamuyide9640 2 ปีที่แล้ว +3

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

  • @unzilaunzila3980
    @unzilaunzila3980 2 ปีที่แล้ว +1

    A brilliant teacher of Mathematics 🧮

  • @Ahtohallan.
    @Ahtohallan. 2 ปีที่แล้ว +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!!

  • @shaymaa8007
    @shaymaa8007 3 ปีที่แล้ว +3

    I kinda addicted your videos, you’re awesome

  • @ezraallen1550
    @ezraallen1550 2 หลายเดือนก่อน

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

  • @binodk2561
    @binodk2561 10 หลายเดือนก่อน

    Best Mathematics Teacher in the World... Amazing knowledge

  • @Rasha.Hussein44
    @Rasha.Hussein44 ปีที่แล้ว

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

  • @swadeshtaneja3512
    @swadeshtaneja3512 3 ปีที่แล้ว +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?

  • @priyankanajwa5111
    @priyankanajwa5111 2 ปีที่แล้ว +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!

  • @Mikael97
    @Mikael97 3 ปีที่แล้ว +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. 2 ปีที่แล้ว +1

      What are you watching it for? Sorry just curious

    • @Mikael97
      @Mikael97 2 ปีที่แล้ว

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

    • @Ahtohallan.
      @Ahtohallan. 2 ปีที่แล้ว +1

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

  • @emekaosegbo37
    @emekaosegbo37 ปีที่แล้ว

    Your teaching method is great. I'm thrilled.

  • @frankbrady1949
    @frankbrady1949 3 ปีที่แล้ว

    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.

  • @user-su4ex2ps6q
    @user-su4ex2ps6q 10 หลายเดือนก่อน

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

  • @jay22197
    @jay22197 3 ปีที่แล้ว +2

    such an amazing instructor, makes you want to learn

  • @user-dh3tr5lu1k
    @user-dh3tr5lu1k 2 ปีที่แล้ว

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

  • @Cheesecakeriver
    @Cheesecakeriver 6 หลายเดือนก่อน

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

  • @leomcinston8667
    @leomcinston8667 9 หลายเดือนก่อน

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

  • @manojishere
    @manojishere ปีที่แล้ว +1

    Everything very beautifully explained.

  • @ariturbo4094
    @ariturbo4094 3 ปีที่แล้ว +1

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

  • @gautamroychoudhury2735
    @gautamroychoudhury2735 2 หลายเดือนก่อน

    You are an wonderful teacher.

  • @patriciab1681
    @patriciab1681 2 ปีที่แล้ว

    Nice and refreshing to learn in simplified explanations thank you

  • @yafy.5158
    @yafy.5158 4 ปีที่แล้ว +2

    you are the greatest Teacher ever!

    • @roysmith3198
      @roysmith3198 4 ปีที่แล้ว

      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.

  • @ellafeng6087
    @ellafeng6087 2 ปีที่แล้ว

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

  • @AbdurrahmanAllahem
    @AbdurrahmanAllahem 4 ปีที่แล้ว +4

    Thank you. A great memory refreshing.

  • @philipjohn1338
    @philipjohn1338 8 หลายเดือนก่อน

    Master of teaching

  • @enlightenedindia6428
    @enlightenedindia6428 ปีที่แล้ว

    Simply great greatly simple and loveable

  • @florentinosanchez3969
    @florentinosanchez3969 5 หลายเดือนก่อน

    You are the best teacher!!!

  • @navindraarjunaabeyesekera7864
    @navindraarjunaabeyesekera7864 2 ปีที่แล้ว

    Yes . You are a Good Teacher

  • @attiaali3813
    @attiaali3813 ปีที่แล้ว

    Fantastic Teacher!

  • @Breazyy1
    @Breazyy1 ปีที่แล้ว

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

  • @surajshukla6813
    @surajshukla6813 17 วันที่ผ่านมา

    My favourite teacher 😊

  • @Ilovegojosm
    @Ilovegojosm 11 หลายเดือนก่อน

    افضل من دكتورتنا 🫂

  • @bilalbakoleismail5324
    @bilalbakoleismail5324 8 หลายเดือนก่อน

    A perfect teacher

  • @Dk-hh4sl
    @Dk-hh4sl 2 ปีที่แล้ว

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

  • @SsLoage
    @SsLoage 2 ปีที่แล้ว +1

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

  • @binodnepal2715
    @binodnepal2715 ปีที่แล้ว

    Profound lessons.
    Keep it up.
    Recommend everyone

  • @johnroberts7529
    @johnroberts7529 ปีที่แล้ว

    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.

  • @attentionsparkbiz
    @attentionsparkbiz 3 ปีที่แล้ว +1

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

  • @ariturbo4094
    @ariturbo4094 3 ปีที่แล้ว

    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

  • @Rasha.Hussein44
    @Rasha.Hussein44 ปีที่แล้ว

    BEST MATH TEACHER EVER !!!

  • @hazelchong5111
    @hazelchong5111 2 ปีที่แล้ว

    watching your vids make me a better teacher

  • @gulshanbibip3687
    @gulshanbibip3687 ปีที่แล้ว

    You are amazing teacher

  • @briannyirenda5924
    @briannyirenda5924 2 ปีที่แล้ว

    I do enjoy your teaching

  • @RahulSingh-fk8dh
    @RahulSingh-fk8dh 2 ปีที่แล้ว

    Thanks for the explanation

  • @charlesward8196
    @charlesward8196 ปีที่แล้ว

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

  • @phugoid
    @phugoid 2 ปีที่แล้ว +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

  • @pramodinilavanya6102
    @pramodinilavanya6102 ปีที่แล้ว +1

    Amazing explanation

  • @MrMossadiq
    @MrMossadiq 2 ปีที่แล้ว

    Amazing. I enjoy to learn from him.

  • @nynmlg2299
    @nynmlg2299 2 ปีที่แล้ว

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

  • @marijana128
    @marijana128 7 หลายเดือนก่อน

    you never disappoint

  • @maleeshapriyanjana7604
    @maleeshapriyanjana7604 4 หลายเดือนก่อน

    Great great help!

  • @jay_wright_thats_right
    @jay_wright_thats_right 7 หลายเดือนก่อน

    I really like this man.

  • @sallaklamhayyen9876
    @sallaklamhayyen9876 3 ปีที่แล้ว

    brilliant explanation = brilliant teacher = thank you son much

  • @mahipalratheerohtak7956
    @mahipalratheerohtak7956 2 ปีที่แล้ว

    A teacher with subject knowledge

  • @helennagawa1678
    @helennagawa1678 2 ปีที่แล้ว +2

    May God bless you Sir, exponentially. 😄

  • @erinhefferin859
    @erinhefferin859 3 ปีที่แล้ว +1

    Thank you for this.

  • @w0mblemania
    @w0mblemania 2 ปีที่แล้ว

    This is an excellent video. Thank.

  • @anirbanc88
    @anirbanc88 ปีที่แล้ว

    sir, you are a genius teacher!

  • @victorsanchez-wg1rz
    @victorsanchez-wg1rz 3 ปีที่แล้ว

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

  • @moes.d6548
    @moes.d6548 4 ปีที่แล้ว +1

    Thank you, excellent teacher!

  • @dayanandetubone9077
    @dayanandetubone9077 3 ปีที่แล้ว

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

  • @Aminhelal210
    @Aminhelal210 2 ปีที่แล้ว

    You are a great teacher

  • @cheezballz8146
    @cheezballz8146 2 ปีที่แล้ว +1

    thanks for helping me cram for my algebra 1 test because my real teacher sucks

  • @tresajessygeorge210
    @tresajessygeorge210 10 หลายเดือนก่อน

    THANK YOU... SIR...!!!

  • @sirousmohseni4
    @sirousmohseni4 3 ปีที่แล้ว

    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.

  • @alialameer7553
    @alialameer7553 2 ปีที่แล้ว

    Great teacher, thank you

  • @Gulag_104troll
    @Gulag_104troll ปีที่แล้ว

    You are a hero

  • @georgettebeulah4427
    @georgettebeulah4427 4 ปีที่แล้ว +1

    This is so true and can relate to it but wish it can be simple more than this. But more of mathematics might help clear out this line.

    • @MathAndScience
      @MathAndScience  4 ปีที่แล้ว +2

      Unfortunately when you get a certain point in math, you need to just plow through the math. I could draw the shape of the graph but unless you understand where it comes from (using math) then you won't be able to understand much or apply it to anything. Good luck!

  • @rafielmesaias
    @rafielmesaias ปีที่แล้ว +1

    Nice video professor. But probably is not relevant, you consider when the base es negative there is no exponential function but what about a function like Y = -2^x, without a parenthesis, we can graph that function and doesn't mean that b is negative right? that could be another good example to see what is happening...

  • @devnshugarg6255
    @devnshugarg6255 3 ปีที่แล้ว

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

  • @scarlet0017
    @scarlet0017 ปีที่แล้ว

    Thank you so much

  • @user-oc4bm5hr9x
    @user-oc4bm5hr9x ปีที่แล้ว

    Awsome teacher

  • @carlcedricksoriano1300
    @carlcedricksoriano1300 2 ปีที่แล้ว

    Thank you now i understand the exponential function even im just grade 6 student.