How to determine, domain range, and the asymptote for an exponential graph

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  • เผยแพร่เมื่อ 11 ก.ย. 2024
  • 👉 Learn all about graphing exponential functions. An exponential function is a function whose value increases rapidly. To graph an exponential function, it is usually useful to first graph the parent function (without transformations). This can be done by choosing 2-3 points of the equation (including the y-intercept) and plotting them on the x-y coordinate axis to see the nature of the graph of the parent function. After graphing the parent function, we can then apply the given transformations to obtain the required graph.
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ความคิดเห็น • 227

  • @sowjanyagudimetla2685
    @sowjanyagudimetla2685 7 ปีที่แล้ว +388

    is n't the range ( 0,infinity)

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว +150

      yes I used to have an annotation for it but it was deleted so your commend is pinned so others that catch it

    • @اموحيد-ج1ع
      @اموحيد-ج1ع 7 ปีที่แล้ว +3

      Sowjanya gudimetla ؤة حضرتها
      خف بق اسيلايل

    • @austin3205
      @austin3205 6 ปีที่แล้ว +38

      i had a test today and your comment saved my life

    • @noname-wf6wb
      @noname-wf6wb 6 ปีที่แล้ว

      yeah

    • @jhunt649
      @jhunt649 5 ปีที่แล้ว +4

      I was about to say the same thing

  • @musicxx5318
    @musicxx5318 8 ปีที่แล้ว +314

    This was explained better to me in under 10 minutes than when my teacher tried to explain it to me in 50 minutes

    • @brianmclogan
      @brianmclogan  8 ปีที่แล้ว +44

      : ) happy to be able to help you out!

    • @jacq796
      @jacq796 4 ปีที่แล้ว +1

      istg

    • @zero-cu2wu
      @zero-cu2wu 3 ปีที่แล้ว +1

      You are absolutely right

  • @jacobtran4010
    @jacobtran4010 7 ปีที่แล้ว +147

    Dude you are so good and structure. This is where most math teachers fail.. or at least mine. She jumps around a lot. Math need to be straight to the point from a -> b with steps by steps solution. Mine she jump in the process of finding the answer instead of writing it out step by step

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว +26

      thank you, happy to be able to assist you

  • @chrishansen236
    @chrishansen236 5 ปีที่แล้ว +23

    I finally understand 😭 almost cried at the library when it clicked. Thank you so much

  • @yukii5972
    @yukii5972 9 ปีที่แล้ว +52

    The dude has serious mad teaching skills!!

    • @brianmclogan
      @brianmclogan  9 ปีที่แล้ว +8

      yukii : ) thanks

    • @tinymajor214
      @tinymajor214 4 ปีที่แล้ว +3

      yukii so ur 4 years older now does math get harder

    • @SpaceDweller999
      @SpaceDweller999 4 ปีที่แล้ว +3

      @@tinymajor214 ofc it does lol

  • @nikki5716
    @nikki5716 4 ปีที่แล้ว +7

    I take online classes, where no one really teaches you how to solve a problem, it just tells you the next outcome. Where as when I watch these, I get an explanation and more realistic examples that would show up on quizzes. So these videos truly do shed some much needed light.
    I took Algebra 2 years ago and was expected to remember everything as I had to take Algebra 2 because I decided to finally graduate high school. Your channel really helps prevent me from having anxiety attacks from the pressure of failing. So thank you!

  • @jolinmah
    @jolinmah 4 ปีที่แล้ว +8

    2020 here i used whole day try to understand this but u use about 10min to make everything clear for me!

  • @JackSloan
    @JackSloan 7 ปีที่แล้ว +40

    Damn I can't stop watching these! You're seriously so good at explaining math, this totally just helped me with exponential functions. Thank you

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว +11

      awesome! happy to be able to assist you!

  • @kurosawa098
    @kurosawa098 9 หลายเดือนก่อน +1

    You, Mr. McLogan, are an EXCELLENT explainer. Thank you for all your videos.

  • @palmbearoftexas2007
    @palmbearoftexas2007 7 ปีที่แล้ว +8

    I'm a day behind on my assignments and I was confused about asymptotes still, but this certainly clarified things, and thankfully your community w/ their comments has also enlightened me, so thank you and the rest of y'all. Great video.

  • @saraanneaz
    @saraanneaz 6 ปีที่แล้ว +2

    I just wanna say thank you because I have been struggling in my math class all semester, our college is doing only hybrid classes aka we do not have a teacher that will give us a lecture on the concept we just rely on 5 minute videos that do not help at all. You might've just been the reason I wont fail this class!! Thank you thank you thank you

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      you are very welcome sara! happy to be able to help you out

  • @natalieshaffer9440
    @natalieshaffer9440 4 ปีที่แล้ว +1

    Your videos are saving me right now. I'm in my first year of college and math has been my biggest hurdle. Your videos are concise and clear. Thank you!

  • @yasameenm6806
    @yasameenm6806 6 ปีที่แล้ว +2

    best maths teacher !!! i study in the uk and my teacher hates me

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      sorry to hear about that Yasameen but happy to be there for you

  • @nickiluiso4679
    @nickiluiso4679 7 ปีที่แล้ว +6

    Man, this has helped me so much! I finally feel confident in math because of your videos

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว +4

      awesome! happy to be able to help you out!

  • @hankschwartz9083
    @hankschwartz9083 3 ปีที่แล้ว

    I Just wanted to say thank you so much. My parents made me do online geometry over the summer, but because of covid they had to shorten the year, so I ended up taking a 9 month class in 5 weeks with only 2 hours a week with you teacher. Your videos were one of the only things that got me an A.

  • @KarenBoothe-en4sd
    @KarenBoothe-en4sd 5 หลายเดือนก่อน

    Thanks for correction on the range. I love your videos and share with my students often - I was seriously second-guessing myself so thanks for the pinned comment :)

  • @brade469
    @brade469 9 ปีที่แล้ว +1

    Very straightforward instruction. Top notch. Thank you.

  • @ptvd_
    @ptvd_ 3 ปีที่แล้ว +6

    This is better than my mom yelling at me.

  • @Photonquarkk
    @Photonquarkk 10 ปีที่แล้ว +48

    The range should be 0 to positive infinity.

    • @brianmclogan
      @brianmclogan  10 ปีที่แล้ว +28

      thank you so much! You are so right, not sure what happened, but I corrected it with an annotation

    • @Photonquarkk
      @Photonquarkk 10 ปีที่แล้ว +6

      Thanks!

  • @HeelayHassan
    @HeelayHassan 4 หลายเดือนก่อน

    In a few days, I will have an oral exam. This video really helped me. Thank you so much

  • @sampsonscott8558
    @sampsonscott8558 6 ปีที่แล้ว

    Better than Khan Academy and any other online tutoring videos I could find. Thank you for being so clear and answering all the questions I had!

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      you are very welcome! very happy to help

  • @jondoe8619
    @jondoe8619 6 ปีที่แล้ว

    This man right here just helped me completely understand why these problems work the way they do. My professor needs to be this man.

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      well I am here for you all the time online

  • @gennyjovellanos2531
    @gennyjovellanos2531 10 ปีที่แล้ว +4

    thank you s much!!:)))) May God bless the works of your hands.

  • @faithisabel25
    @faithisabel25 8 ปีที่แล้ว +15

    Thank you for posting this video :-)

    • @brianmclogan
      @brianmclogan  8 ปีที่แล้ว +6

      you are very welcome! happy to help

  • @vargasfam.3077
    @vargasfam.3077 6 หลายเดือนก่อน

    Thank you so much! GCU Math 154 was killing me, then I found you! Thank you!!!!

  • @michellemoore4222
    @michellemoore4222 10 ปีที่แล้ว +82

    wouldn't range be (0, infinity)

  • @Mzwesta
    @Mzwesta 4 ปีที่แล้ว

    Good teacher makes it all so simple

  • @jerardyu9677
    @jerardyu9677 5 ปีที่แล้ว +4

    Would writing the range as {y|y>0,y∈R} correct as well? I wrote Y greater than Zero because I'm thinking the graph would never get to zero..

  • @grantmorgan1794
    @grantmorgan1794 8 ปีที่แล้ว +1

    I really appreciate your videos. Thanks Mr. McLogan!!!!!!

    • @brianmclogan
      @brianmclogan  8 ปีที่แล้ว

      +Grant Morgan You are very welcome!

  • @davidhill8163
    @davidhill8163 2 ปีที่แล้ว

    Great explanation despite the glitch at the end.

  • @joannaathineosmathematics5706
    @joannaathineosmathematics5706 5 ปีที่แล้ว +1

    Amazing and very helpful video. Congratulations! Keep up your great work

  • @AmandaRiggi-pt5br
    @AmandaRiggi-pt5br 6 หลายเดือนก่อน

    I have watched so many videos from u this semester that I feel like I know u

  • @videosformybrain3606
    @videosformybrain3606 4 ปีที่แล้ว

    Im currently in calc 3 and until this video Ive always had a hard time understanding exponential functions. thank you, this is what ive been needing.

  • @langelon
    @langelon 7 ปีที่แล้ว +4

    This was an awesome video! I understand it so much better now. You're really good at explaining math compared to my teacher. One thing, can you explain how you find the asymptote? Is it always going to be y = 0?

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว +2

      unless you have a vertical shift then it will be y=k as y=(a+h)^x+k

    • @shreyadeo8671
      @shreyadeo8671 2 ปีที่แล้ว +1

      @@brianmclogan So basically for every horizontal asymptotte, the asymptote will be 'y=0'?

  • @samkelosheperd7534
    @samkelosheperd7534 4 ปีที่แล้ว

    Thank you for explanation without beating around the bush

  • @domd2694
    @domd2694 2 ปีที่แล้ว

    Thanks so much I was struggling with the powers but this has helped me figure it out now :D

  • @ASwordElite
    @ASwordElite 5 ปีที่แล้ว +11

    I wish this guy was my teacher ;_;

  • @bay3282
    @bay3282 3 ปีที่แล้ว +1

    Lol he is so passionate from the way he teachs

  • @Kuefo
    @Kuefo 6 ปีที่แล้ว

    Godly teaching skills man. Thanks for all the help.

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      you are very welcome! happy to help

  • @deericaallen9782
    @deericaallen9782 3 ปีที่แล้ว

    Thanks he’s a life saver 😩

  • @FriendsOfMountains
    @FriendsOfMountains 3 ปีที่แล้ว

    Thank you!!

  • @amiliarek7521
    @amiliarek7521 3 ปีที่แล้ว

    Thank you soooooo much sir!!! I needed this!

  • @treblemakeranna
    @treblemakeranna 7 ปีที่แล้ว

    Thanks for posting this video! I struggle in calculus and this is really helping me.

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว

      awesome! happy to be able to assist you

  • @Suzy56295
    @Suzy56295 2 ปีที่แล้ว

    Omg thankyou so much I finally get this

  • @00mad88
    @00mad88 4 ปีที่แล้ว

    You have saved my grade in math.

  • @marawillmann3119
    @marawillmann3119 6 ปีที่แล้ว

    This help me more than my math honors teacher, she can’t explain the problem or the lesson

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      sorry to hear but happy to be able to help!!!

  • @silvergin4303
    @silvergin4303 4 ปีที่แล้ว

    Thank you for posting this video

  • @abdultumusiime4607
    @abdultumusiime4607 6 ปีที่แล้ว

    Your explanation makes me know all about math. thanks guys

  • @steelydan3263
    @steelydan3263 3 ปีที่แล้ว

    Thank you comrade

  • @cutiechache
    @cutiechache 3 ปีที่แล้ว

    Thank you so much😊😊

  • @ashlvxxy_
    @ashlvxxy_ ปีที่แล้ว

    Needed this thank u 🙏

  • @carloschong8177
    @carloschong8177 3 ปีที่แล้ว

    When Brian faces the board, I see a parabola. Sorry, I think you're a great teacher. I just couldn't help myself. ;-)

  • @kudzaishe.
    @kudzaishe. 2 ปีที่แล้ว

    Thank you so much !!!

  • @littlegamer8359
    @littlegamer8359 3 ปีที่แล้ว

    For real .. thanks so much !!! Have been trying to understand that for almost forever.. keep up saving our grades pls xD

  • @cry_stalll
    @cry_stalll 2 ปีที่แล้ว

    My savior

  • @justinvillarosa667
    @justinvillarosa667 3 ปีที่แล้ว

    Thank you sir this is pretty helpful

  • @lewiduressa
    @lewiduressa 6 ปีที่แล้ว +1

    Nice video! It helped me a lot!

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      thanks! happy to be able to help!

  • @reyannerecopuerto3550
    @reyannerecopuerto3550 3 ปีที่แล้ว

    Thankyou Sir😊😇

  • @ZawZaw-ol9vc
    @ZawZaw-ol9vc 2 ปีที่แล้ว

    Thank you

  • @aimusoorii4484
    @aimusoorii4484 2 ปีที่แล้ว

    You’re the best

  • @HeelayHassan
    @HeelayHassan 4 หลายเดือนก่อน

    Sorry, but can you make a Transformations and Radical Function video that shows how to find domain and range? I really need it. I could not find it anywhere in your videos.
    I have oral exams in a few days, which will help me.

  • @jenyel8773
    @jenyel8773 3 ปีที่แล้ว

    it really helped me a lot❤️

  • @tatianapadervinskaite2982
    @tatianapadervinskaite2982 5 ปีที่แล้ว +1

    You are amazing

  • @samuelpowell7189
    @samuelpowell7189 5 ปีที่แล้ว

    You're my hero

  • @daihanarivera2531
    @daihanarivera2531 10 ปีที่แล้ว +1

    So... is the horizontal and vertical asymptote both zero?

  • @srivishalsudharsan1092
    @srivishalsudharsan1092 5 ปีที่แล้ว

    Very good explanation but can someone explain what the asymptope would be for a negative line?

  • @wafs1393
    @wafs1393 4 ปีที่แล้ว

    I cant find a single video explaining exponential functions the same way my teacher did it. When she would tell us to graph exponential functions, we use the "magical points" (-1,1/b) (0,0) (1,b) and then use x/k+d and ay+c to find the transformations and then graph it and find domain and range. Any videos that explain this?

  • @thememegeneer5716
    @thememegeneer5716 4 ปีที่แล้ว +15

    Alternate title: man teaches math while refusing to look at a camera

  • @liamnisbet9720
    @liamnisbet9720 5 ปีที่แล้ว

    YOU have saved me

    • @brianmclogan
      @brianmclogan  5 ปีที่แล้ว

      happy to be able to help !!!

  • @srivishalsudharsan1092
    @srivishalsudharsan1092 5 ปีที่แล้ว

    Isnt the domain (0, infinity)? Becasue it approaches 0 but it never gets into the negatives?

  • @faristariq918
    @faristariq918 4 ปีที่แล้ว

    How to know if the asymptote is horizontal or vertical pls answer

  • @gulnaroguz2510
    @gulnaroguz2510 2 ปีที่แล้ว

    can you also give fraction values for x?
    Since they are real numbers.
    Thank you!

  • @bagsao_bea4564
    @bagsao_bea4564 3 ปีที่แล้ว

    yeey! thanks sir!

  • @quickdr4w890
    @quickdr4w890 6 ปีที่แล้ว

    Is the range going to be 0 to infinity for every equation? Or is it the asymptote to negative infinity every time?

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      I made a mistake it is 0 to infinity

  • @suito.poteto
    @suito.poteto 3 ปีที่แล้ว

    SIR, I WISH YOU WERE MY TEACHER

  • @tanishadesai2565
    @tanishadesai2565 4 ปีที่แล้ว

    i wish u were my math teacher

  • @karlremy8553
    @karlremy8553 5 ปีที่แล้ว

    I would'nt be one youtue if i had a teacher like him

  • @SA-fg8py
    @SA-fg8py 5 ปีที่แล้ว +1

    range is (0,∞)

  • @galepaquet8690
    @galepaquet8690 5 ปีที่แล้ว +4

    Is the asymptote ever not 0

    • @stonercat1232
      @stonercat1232 5 ปีที่แล้ว

      Abigail Paquet yes if there is a transformation

    • @stonercat1232
      @stonercat1232 5 ปีที่แล้ว

      Abigail Paquet also thank god for his guy he is saving my grade

  • @WilliamBaker-fx9re
    @WilliamBaker-fx9re ปีที่แล้ว

    didn't understand how you got the range values. Shouldn't it be from zero to positive infinity?

  • @sophia-jd8po
    @sophia-jd8po 5 ปีที่แล้ว

    hi. what grade level is this intended for ?

  • @Credalfen
    @Credalfen 2 ปีที่แล้ว

    4:54-5:00 cracked me up so hard ik it's dumb but still

  • @phoby4740
    @phoby4740 4 ปีที่แล้ว

    sana ol may whiteboard marker

  • @physiaclub646
    @physiaclub646 8 ปีที่แล้ว

    Why the range is negative where it is the output of the function? I don't understand. Please help me.

    • @brianmclogan
      @brianmclogan  8 ปีที่แล้ว +4

      +Hossain Adoor I made a mistake the range is (0,infinity)

  • @joywagner2804
    @joywagner2804 4 ปีที่แล้ว

    You wrote the wrong range right at the end of your video:(. You wrote (-inf, 0) when it was supposed to be [0, inf). I wanted to use your video for my students during our stay home mandate, but that would totally confuse them at the end:(.

  • @thedifferentus861
    @thedifferentus861 3 ปีที่แล้ว

    The range must be (0, infinity). Right?

  • @yvonnejohnson3710
    @yvonnejohnson3710 6 ปีที่แล้ว

    Can you explain why the horizontal asymptote of f(x)= 2^x -3 is f(x) = -3? Thank you.

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      because the graph is shifted down 3 units, and the graph f(x)=2^x has a horizontal asymptote at y=0

  • @azizkash286
    @azizkash286 7 ปีที่แล้ว +1

    Thx

  • @egreen4910
    @egreen4910 5 ปีที่แล้ว

    What about when they don't have exponents?

  • @AbhyudayGaur
    @AbhyudayGaur 6 ปีที่แล้ว

    thanks

  • @aryangupta8198
    @aryangupta8198 8 ปีที่แล้ว +2

    How would you determine the asymptote for an exponential function that has been transformed? Without a graph.

    • @brianmclogan
      @brianmclogan  8 ปีที่แล้ว +1

      no that the graph has an asymptote at y=0 so whatever the transformation is will just move the asymptotes as well

  • @charliesymon6602
    @charliesymon6602 6 ปีที่แล้ว

    y intercept isn't always 1 because the graph may have been shifted horizontally

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      correct, I should had clarified better

  • @kuanlinpaihan
    @kuanlinpaihan 8 ปีที่แล้ว

    if the function cant reach the asymptote then how come the domain is from -ve infinity???

    • @brianmclogan
      @brianmclogan  8 ปีที่แล้ว +2

      +desperate housewives fanpage domain is the set of all x-values. the asymptote only affects the y-values as the graph can continue to extend infinitely left and right

  • @ChrisHavok
    @ChrisHavok 4 ปีที่แล้ว +1

    Range = (-oo, 0) ?
    I expect better from you Brian.

  • @vandergdossantos3767
    @vandergdossantos3767 9 ปีที่แล้ว +9

    He got that wrong. On the Exponential function the rage is ( 0, positive infinitive).

    • @brianmclogan
      @brianmclogan  9 ปีที่แล้ว +9

      Vander G Dos Santos correct I stated it wrong, that is why I created an annotation to fix my error, thank you for letting me know!

  • @geesisawir6136
    @geesisawir6136 6 ปีที่แล้ว

    thanks bro

  • @forota209
    @forota209 6 ปีที่แล้ว

    Helped

  • @thomasbarber7739
    @thomasbarber7739 3 ปีที่แล้ว

    Oops! The range of the exemplary function is (0,infinity), not (-infinity,0).

  • @GabbieR334
    @GabbieR334 6 ปีที่แล้ว

    So range is (0,infinity) right?

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      yes, my mistake it is noted in the comments

  • @1S0J1
    @1S0J1 ปีที่แล้ว

    ik this is an old vid but isnt the range supposed to be: (0,infinity)