❖ Graphing Exponential Functions: All You Need to Know! ❖

[@iiiears]

High School taught this in 2 weeks you managed it in minutes. - Thank You

[@guard55555]

you really have changed my life. Thank you so much for your tutorials I never could have gotten an A without you

[@hannahalexis6741]

Thank god your channel exists

[@pavelsadovnikov55]

you mean allah right?

[@karlynichols2398]

Pavel Sadovnikov: no....

[@patrickjmt]

i can not believe i have never done a video on this...

[@nameless4630]

you are a life saver

[@ComandaKronikk]

thanks man i was getting super confused about the negative exponents on top of the fractions but you cleared it up for me really well

[@azizhossam7106]

you really are a savior

[@zachbarna9525]

thanks

[@zachbarna9525]

welcome

[@nafay142]

Just to be clear guys,the base of the exponential function can never be negative. For example: It has to be : 3^x If there is a "-" sign before the "3" ,it means it is a reflection,a vertical reflection,that too,outside the parentheses. For example : -(3)^x ^ | | | That "-" sign indicates that it is a reflection.......

[@jennyayala3192]

Nafay azhar ty so much

[@zay712]

Finally found a video teaching how to graph these kind of functions!! Thanks so much!!! Saved my life!!

[@shayantahsin9365]

sir i would like to say that you are great teacher and the way you explain is awesome

[@thebluebeyond2329]

Thank you ✨ so much saved my brain from long recorded videos from my lecturer.

[@thisisblain]

I'm learning more than i learn at school by watching this.

[@stoicfloor]

This certainly helps A LOT. I learned it but a review is great! thank you very much Patrick, for all the videos!

[@maxderomijn2690]

I love you so much G 1 hour before my maths test you are so clutch

[@ZachBugay]

Your videos are incredible. Thank you so much for sharing all of these videos with us. Extremely easy to follow and very informative.

[@ninagreenshields7185]

Got a quiz tomorrow and this has really helped thank you

[@pavelsadovnikov55]

no problem

[@ayaanmian4114]

@@pavelsadovnikov55 not you

[@aaronjl7719]

Thank you so much! I'd take you over my current teacher any day

[@t1993L06E]

Have you done a video about how to graph functions with a base of e?

[@sandilemngqibisa7129]

you quickly make it simple and clear thanks to that left hand

[@pandaonsteroids5154]

I have a test tomorrow over log and graphing that along with exponential and everything, and we only spent one day on exponential. Never again, so this explained to me how I can graph it. Thanks so much. a>1 with a positive x = growth a>1 with a negative x = decay 0

[@pandaonsteroids5154]

Also a negative x is equivalent to a reflection over the y-axis which is why it becomes decay or growth (opposite of the original). (((:

[@pandaonsteroids5154]

Oh and so the reason we don't have x-axis reflection is because the a value cannot be negative...? Something like that.. I don't know. But I got it now. Just explaining it to myself. (((:

[@hostility2245]

THANK YOU! You dont know how much this video helped me...thank you for the video and effort you put in them.

[@Dileangs]

Thank you for this video!! helped understand more than a 2 hr lecture from my instructor.

[@10k.emilio79]

Thank you leafy for teaching me how to graph exponential functions

[@comicstwisted]

You should buy a white board

[@NicholasMatthews]

I couldn't even find this on Khan Academy, so thank you so much!

[@ashleychantal4063]

Thank you so much I have been having so many problems with trying to understand how to do this and you helped me out so much so thank you!!!

[@zuestxd8987]

50 minute lesson explained in 14 mins..what a beast XD

[@jomaaabbas]

2020 and still helpful, thanks

[@omen2332]

Thank you Patrick, you are the best

[@nabeelachaudhry8663]

you are so wonderful teacher, I really enjoyed you lessons, Thank you so much .

[@nooral-saloum492]

this was so helpful omg even better than khan academy tysm i will pass math now

[@Jonathan_Mallon]

This helped so much, your also really good at teaching maths! Thnx

[@masonwenner1742]

Jonathan Mallon “maths”

[@alexhan7118]

@@masonwenner1742 thats actually a word and he used it pretty properly. -_- "maths" is the british variation of math.

[@marthapuentes5960]

this was sooooo helpful and and easy approach.

[@dearbrandee]

Omg thank you so much, I wish I had to video to watch when I was in HS. Re-studying this and I understand much better

[@burekabedassa3957]

I can never go wrong with these methods

[@ProCactus167]

thank you so much. you earned a sub and a ton of views from me. you helped so much with my trig class!

[@johnmutiso8357]

Thanks for it as it helps me in my semester exam

[@dchoopsta]

Thank you very much. I usually don't comment on videos but your videos are just so helpful, clear, and very easy to follow and I've been a viewer for years now--so I decided why not, haha. I actually learn more from you than I do from my UCONN professor ^__^ Thanks again, Drew

[@hamzaabdirizak5646]

Wow I cannot believe how you’ve managed in a view minutes what my instructor took him to teach us 4 weeks and still didn’t understand from him thank you keep it up, and if you have physics 30 videos I really will appreciate that.

[@viperconn]

thank you for helping me pass cal 3 patrick!

[@stanebiju2368]

Thank you, you saved my life. Earned a sub.

[@patatadivina]

thnks sooooo much this clears EVERYTHING up

[@dn2021]

Great video. I learned a lot.

[@dnfnfndnd]

you're literally the best

[@nerdwithautilitybeltd6945]

Thank you so much! You saved me from failing an algebra 2 quiz lol

[@rohitnambiar3793]

Thank You Soooo Much! This helped me a TON!

[@mattifyyou]

Omg thanks so much for putting up this vid

[@nnataliered]

thank you for this video!

[@hanakuneko4351]

Your amazing! Thank you so much, you helped me a lot! You're super intelligent!! Thanks! Ahh, I'll refer to your videos in the near future!

[@kenyaflores4829]

Can you always use the points 0,-1,-2,-3 and the positives for the table ???

[@ahFoolishwen]

It's definitely help a lot ! Thanks

[@farushealiaj6016]

Helped me alot , thank you.

[@kainatazhar8111]

so glad I found this

[@nellymargarite5049]

Thank you. It helped big time!

[@kautharbenjamin8773]

This really helped me thank you

[@KP-zh8fn]

Thank you! This really helped me :)

[@jalysse]

what about y = (4.3)^x? if you put that in a chart with -1, the answer would be 1/4.3, but you cant put a fraction over a fraction..?

[@pauntobell9969]

Thanks, really really helpful. 😊

[@MsPinamalakas]

Thanks. It really helps.

[@luisleunam88]

BRAVO MAN! BRAVO!

[@motheroftwo5551]

I love your videos. On this particular video it would have been more helpful had you used actual graph paper. I used graph paper and I got the same results, but I thought it would make your explanations more clear if actual graph paper could be used to show the coordinates better.

[@princesskarabo165]

...really helped a lot... A+ =) ...💋💝thanks soh much !!!!👌

[@nickyphillipson1648]

good vid thanks dad i have maths test tomorrow

[@user-mt2cx4zs9g]

i enjoy ur hand writing

[@jeanettequintero2313]

You're so awesome thank you 🙌😎

[@SabrinaRosa02]

Agh thank you I could not figure out how to do this homework

[@ВПоискахПравды-ь6э]

Great, man. Thank You

[@jeanettequintero2313]

Question why does y=0 on the x-axis?

[@Geosoria]

You are awesome... I love you!!!

[@patrickjmt]

and i like that your profile picture is a chess piece

[@ioshacksihacks]

fucking legend right here

[@ishmaildeco990]

Thanks Alot! mahn.. could you do any physics? like newton's law and vectors in 2 and 3D?

[@Dev-kb8rf]

Thanks this helps👍👌👋

[@fuzzygreen3634]

you know youre a nerd when youre watching math tutorials for fun

[@patrickjmt]

i don't think that being inquisitive and curious is nerdy, but that is coming from a nerd...

[@pjkay1300]

What would the end points be

[@thenewdimension9832]

Thank-you so much 🤗🤗🤗

[@qzorn4440]

wonderful info. thanks.

[@Ophir111]

Hi. This video is great and has been very helpful as my graphing skills are subpar. I have a request similar to the post of a year ago. Can you post a video on graphing functions with base e? Thanks!

[@cottagecorps]

Thanks for the video

[@JuanPerez-oy2ts]

Thanks a lot man!

[@bbyBansheeee]

brilliant! thank you!!

[@FairyEvilMoon]

Great video

[@rodneymuleya9540]

thanks for your help,

[@kimberlychin1996]

Amazing video. I know more math now. How do u like a video on mobile?

[@maulnunez5021]

Who watching In 2o18?

[@mzcrazy3391]

you are the best!

[@BbyPigeon]

how do you tolerate the smell for so long?

[@philipmatthew5952]

Good jobbb

[@Dygee]

Thanks a lot bro.

[@_mitsharma_]

How we will draw the graph of 2^1/x and 2^1/x^2

[@audiojunkie5435]

Isn't writing 0 to infinity wrong for the domain? y cannot be 0, I would have thought y>0 would be a more accurate statement?

[@RaffaelloLorenzusSayde]

What about y=-(1/4)^-x?

[@Kim-ns4kp]

Thank you so much :)

[@emmysmiden8120]

Who is watcing this in 2017???

[@أبوحسين-ذ6ق6ق]

Emmy SmiDen none 😌

[@kyleb1556]

ohhhhh yeeahh

[@miguelsolis1832]

Me

[@maulnunez5021]

HAHA IM WATCHING IN 2018 HAHAHAHAHAHA

[@uaealain6218]

form 2018 :)

[@8paloma7]

Thanks you're awesome

[@memjaybeldia4474]

I'm confused. My teacher also used that (1/2)x as an example and she said that the graph was increasing. -___-

[@waynehsieh9801]

if you have y = a (1/2)^x and a

[@nanaisawesome1]

The exponential growth or decay is expressed by the b value, NOT the a value.

[@haniloucarballo5196]

Thank u so much!

[@kimmorshazaldua54]

THANK YOU!

[@fatimadeleon3131]

The video was really helpful but the sound of the sharpie was hurting my ears I had to stop the video. But !!! Great Video!!!

[@MrBettylachula]

You're great!!!

[@carlosharpe7592]

whos watching 2019??

[@misssnowflake33]

Thank you!

[@kawsarahmad]

It's been a while!

[@patrickjmt]

i know. longer than i want... life has been very busy, i miss posting videos regularly