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

Рет қаралды 389,681

Күн бұрын

👉 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.
Timestamps:
0:00 Intro
0:40 Start of Problem
Corrections:
8:01 The range is (0, infinity)
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✅How to Graph Exponential Functions
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✅How to Graph Exponential Functions with e
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✅How to Graph Exponential Functions | Learn About
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✅How to Graph Exponential Functions with Stretch and Compression
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Пікірлер: 227

@sowjanyagudimetla2685 6 жыл бұрын

is n't the range ( 0,infinity)

@brianmclogan 6 жыл бұрын

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

@user-sg3mh8fk5v 6 жыл бұрын

Sowjanya gudimetla ؤة حضرتها خف بق اسيلايل

@austin3205 6 жыл бұрын

i had a test today and your comment saved my life

@noname-wf6wb 6 жыл бұрын

yeah

@jhunt649 5 жыл бұрын

I was about to say the same thing

@musicxx5318 8 жыл бұрын

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

@brianmclogan 8 жыл бұрын

: ) happy to be able to help you out!

@jacq796 3 жыл бұрын

istg

@zero-cu2wu 3 жыл бұрын

You are absolutely right

@chrishansen236 5 жыл бұрын

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

@jacobtran4010 7 жыл бұрын

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 7 жыл бұрын

thank you, happy to be able to assist you

@nikki5716 4 жыл бұрын

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!

@yukii5972 9 жыл бұрын

The dude has serious mad teaching skills!!

@brianmclogan 9 жыл бұрын

yukii : ) thanks

@tinymajor214 4 жыл бұрын

yukii so ur 4 years older now does math get harder

@SpaceDweller999 4 жыл бұрын

@@tinymajor214 ofc it does lol

@kurosawa098 7 ай бұрын

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

@jolinmah245 4 жыл бұрын

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

@JackSloan 7 жыл бұрын

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 7 жыл бұрын

awesome! happy to be able to assist you!

@natalieshaffer9440 4 жыл бұрын

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!

@vargasfam.3077 4 ай бұрын

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

@gennyjovellanos2531 10 жыл бұрын

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

@hankschwartz9083 3 жыл бұрын

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 3 ай бұрын

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 :)

@HeelayHassan 2 ай бұрын

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

@palmbearoftexas2007 7 жыл бұрын

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.

@brianmclogan 7 жыл бұрын

awesome! glad to hear

@brade469 9 жыл бұрын

Very straightforward instruction. Top notch. Thank you.

@brianmclogan 9 жыл бұрын

Brad E happy to help!

@videosformybrain3606 3 жыл бұрын

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.

@nickiluiso4679 6 жыл бұрын

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

@brianmclogan 6 жыл бұрын

awesome! happy to be able to help you out!

@grantmorgan1794 8 жыл бұрын

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

@brianmclogan 8 жыл бұрын

+Grant Morgan You are very welcome!

@joannaathineosmathematics5706 5 жыл бұрын

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

@ptvd_ 3 жыл бұрын

This is better than my mom yelling at me.

@Mzwesta 4 жыл бұрын

Good teacher makes it all so simple

@sampsonscott8558 6 жыл бұрын

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 6 жыл бұрын

you are very welcome! very happy to help

@amiliarek7521 3 жыл бұрын

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

@faithisabel25 8 жыл бұрын

Thank you for posting this video :-)

@brianmclogan 8 жыл бұрын

you are very welcome! happy to help

@domd2694 2 жыл бұрын

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

@jondoe8619 6 жыл бұрын

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 6 жыл бұрын

well I am here for you all the time online

@deericaallen9782 3 жыл бұрын

Thanks he’s a life saver 😩

@FriendsOfMountains 3 жыл бұрын

Thank you!!

@silvergin4303 3 жыл бұрын

Thank you for posting this video

@saraanneaz 6 жыл бұрын

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 6 жыл бұрын

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

@ashlvxxy_ Жыл бұрын

Needed this thank u 🙏

@treblemakeranna 7 жыл бұрын

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

@brianmclogan 7 жыл бұрын

awesome! happy to be able to assist you

@yasameenm6806 6 жыл бұрын

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

@brianmclogan 6 жыл бұрын

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

@kudzaishe. 2 жыл бұрын

Thank you so much !!!

@jerardyu9677 5 жыл бұрын

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..

@jenyel8773 3 жыл бұрын

it really helped me a lot❤️

@justinvillarosa667 3 жыл бұрын

Thank you sir this is pretty helpful

@Suzy56295 2 жыл бұрын

Omg thankyou so much I finally get this

@AmandaRiggi-pt5br 3 ай бұрын

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

@cutiechache 3 жыл бұрын

Thank you so much😊😊

@Kuefo 6 жыл бұрын

Godly teaching skills man. Thanks for all the help.

@brianmclogan 6 жыл бұрын

you are very welcome! happy to help

@samkelosheperd7534 3 жыл бұрын

Thank you for explanation without beating around the bush

@steelydan3263 3 жыл бұрын

Thank you comrade

@ZawZaw-ol9vc 2 жыл бұрын

Thank you

@reyannerecopuerto3550 3 жыл бұрын

Thankyou Sir😊😇

@samuelpowell7189 5 жыл бұрын

You're my hero

@lewiduressa 6 жыл бұрын

Nice video! It helped me a lot!

@brianmclogan 6 жыл бұрын

thanks! happy to be able to help!

@davidhill8163 Жыл бұрын

Great explanation despite the glitch at the end.

@imstupid8123 6 жыл бұрын

thank you! you helped me so much

@brianmclogan 6 жыл бұрын

you are very welcome!

@tatianapadervinskaite2982 5 жыл бұрын

You are amazing

@cry_stalll Жыл бұрын

My savior

@00mad88 4 жыл бұрын

You have saved my grade in math.

@abdultumusiime4607 6 жыл бұрын

Your explanation makes me know all about math. thanks guys

@brianmclogan 6 жыл бұрын

you are very welcome!

@bagsao_bea4564 3 жыл бұрын

yeey! thanks sir!

@Photonquarkk 10 жыл бұрын

The range should be 0 to positive infinity.

@brianmclogan 10 жыл бұрын

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

@Photonquarkk 10 жыл бұрын

Thanks!

@littlegamer8359 3 жыл бұрын

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

@brianmclogan 3 жыл бұрын

Will do

@aimusoorii4484 2 жыл бұрын

You’re the best

@carloschong8177 3 жыл бұрын

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

@ASwordElite 5 жыл бұрын

I wish this guy was my teacher ;_;

@bay3282 2 жыл бұрын

Lol he is so passionate from the way he teachs

@brianmclogan 2 жыл бұрын

☺️☺️☺️

@daihanarivera2531 10 жыл бұрын

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

@michellemoore4222 10 жыл бұрын

wouldn't range be (0, infinity)

@tinymajor214 4 жыл бұрын

Michelle Moore you mean y>0?

@christophernavarro5019 4 жыл бұрын

TinyMajor214 your 6 years late

@tinymajor214 4 жыл бұрын

Chris you’re 2 months late

@christophernavarro5019 4 жыл бұрын

TinyMajor214 2 months doesn’t compare to 6 years

@tinymajor214 4 жыл бұрын

Chris okkk buddy

@marawillmann3119 5 жыл бұрын

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

@brianmclogan 5 жыл бұрын

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

@langelon 7 жыл бұрын

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 7 жыл бұрын

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

@shreyadeo8671 2 жыл бұрын

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

@liamnisbet9720 5 жыл бұрын

YOU have saved me

@brianmclogan 5 жыл бұрын

happy to be able to help !!!

@forota209 6 жыл бұрын

Helped

@brianmclogan 6 жыл бұрын

awesome!

@wafs1393 4 жыл бұрын

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?

@geesisawir6136 5 жыл бұрын

thanks bro

@brianmclogan 5 жыл бұрын

you are very welcome!

@srivishalsudharsan1092 5 жыл бұрын

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

@sophia-jd8po 4 жыл бұрын

hi. what grade level is this intended for ?

@AbhyudayGaur 5 жыл бұрын

thanks

@brianmclogan 5 жыл бұрын

you are very welcome!

@srivishalsudharsan1092 5 жыл бұрын

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

@faristariq918 3 жыл бұрын

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

@karlremy8553 5 жыл бұрын

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

@tanishadesai2565 4 жыл бұрын

i wish u were my math teacher

@azizkash286 7 жыл бұрын

Thx

@yaseenalsaif3785 7 жыл бұрын

يلبيه المحنه

@brianmclogan 7 жыл бұрын

you are very welcome!

@thememegeneer5716 4 жыл бұрын

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

@gulnaroguz2510 Жыл бұрын

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

@quickdr4w890 6 жыл бұрын

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

@brianmclogan 6 жыл бұрын

I made a mistake it is 0 to infinity

@suito.poteto 3 жыл бұрын

SIR, I WISH YOU WERE MY TEACHER

@aryangupta8198 7 жыл бұрын

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

@brianmclogan 7 жыл бұрын

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

@elementaljedi9335 7 жыл бұрын

what do you plug in the x

@brianmclogan 7 жыл бұрын

your input variables, f(x) represents the output. An easier example f(x)=1+x Plug in 2 for x and you get f(x)=3 so the point on the graph is (2,3) Same Idea here just with exponential function

@kuanlinpaihan 8 жыл бұрын

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

@brianmclogan 8 жыл бұрын

+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

@HeelayHassan 2 ай бұрын

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.

@WilliamBaker-fx9re Жыл бұрын

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

@brianmclogan Жыл бұрын

Yes

@Credalfen 2 жыл бұрын

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

@phoby4740 4 жыл бұрын

sana ol may whiteboard marker

@yvonnejohnson3710 6 жыл бұрын

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

@brianmclogan 6 жыл бұрын

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

@physiaclub646 8 жыл бұрын

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

@brianmclogan 8 жыл бұрын

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

@SA-fg8py 4 жыл бұрын

range is (0,∞)

@egreen4910 5 жыл бұрын

What about when they don't have exponents?

@adamc4640 4 жыл бұрын

Yes. It approaches zero nut never ever approaches zero.

@abilaforchaleke648 6 жыл бұрын

you techies well

@brianmclogan 6 жыл бұрын

thanks happy to help

@joule-trix 7 жыл бұрын

yes

@brianmclogan 7 жыл бұрын

happy to help

@vandergdossantos3767 9 жыл бұрын

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

@brianmclogan 9 жыл бұрын

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!

@ev3t175 7 жыл бұрын

helped though the range.....coz the graph goes up that means 0 to positive

@brianmclogan 7 жыл бұрын

correct

@thedifferentus861 3 жыл бұрын

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

@willmauritsen 4 жыл бұрын

[0, infinity)