Graphing Exponential Functions With e, Transformations, Domain and Range, Asymptotes, Precalculus

This algebra 2 and precalculus video tutorial focuses on graphing exponential functions with e and using transformations. It explains how to find and write the domain and range of the function in addition to identify the horizontal asymptote. It shows you how to use a data table to plot at least two points to draw an accurate sketch of the graph.
Domain and Range Formula Sheet:
bit.ly/4eheN2W
Logarithms - The Easy Way!
• Logarithms - The Easy ...
Log to Exponential Form:
• Writing Logarithmic Eq...
Change of Base Formula:
• Change of Base Formula...
Change of Base Log Problem:
• Logarithms
Properties of Logarithms:
• Properties of Logarithms
____________________________________
Expanding Logarithmic Expressions:
• Expanding Logarithmic ...
Condensing Logarithmic Expressions:
• Condensing Logarithmic...
Natural Logarithms:
• Natural Logarithms
Solving Exponential Equations:
• Solving Exponential Eq...
Exponential Equations - Quadratic Form:
• Solving Exponential Eq...
_______________________________________
Solving Logarithmic Equations:
• Solving Logarithmic Eq...
Graphing Logarithmic Functions:
• Graphing Logarithmic F...
Graphing Exponential Functions:
• How To Graph Exponenti...
Compound Interest Word Problems:
• Compound Interest
Logarithms Practice Problems:
• Logarithms - Practice ...
_______________________________________
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections

[@TheOrganicChemistryTutor]

Domain and Range Formula Sheet: bit.ly/4eheN2W
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

[@CLUELESS_GAME]

For me we have to graph two things on one graph. The child and the parent. I
Can’t find this anywhere online for help

[@sirchewietheterrible]

@@CLUELESS_GAME the 'parent' would just be 2^x, and the 'child' would be whatever transformation was applied to that 'parent' graph, i believe. So you would need to graph 2^x, and (for example) 3^(x-1). I hope thats what you meant.

[@Kayla-qb9iv]

You literally managed to teach me something in 10 min that my teachers failed to teach me in 3 years. Thank you, you saved me bro

[@CleanRedditstories]

Follow me pls

[@Alphae21]

did your teacher fail to teach or did you fail to listen?

[@hugurat6163]

@@Alphae21 The latter

[@Kayla-qb9iv]

@@Alphae21 My teacher drove me to the point of suicide but pop off i guess

[@Alphae21]

@@Kayla-qb9iv sounds like a you problem

[@anisa2273]

I know we say this a LOT! But honestly, we're so lucky to have him, I literally just sat at several classes there not knowing what the professor was doing (as he didn't even explain well or write down how he got the graph results, he just plotted the graph) and now I understand in 10 minutes!!! Thanks so much!!!

[@ronniewxw19]

Then I must be dumb asf bcuz I still don’t understand and I’m panicking and my final is in 2 weeks…. God help me

[@1tslama]

@@ronniewxw19 my finals tomorrow lmao

[@tocaxo_xo]

@@ronniewxw19how did it go

[@8Aboudi8]

I love you bro.
I want to take you out to dinner.
Better than my instructor

[@Daria-hg5vd]

I tell ya saved my whole life 💀

[@user-oe4wy2fg3e]

@N K 😂 LMAO

[@MohammadTotah]

wtf u gay?

[@Fngiraffe]

Jesus loves you brotha !

[@thereisalwaysarainbowafter1364]

@@MohammadTotah Sure, cause showing someone you appreciate what they did for you is “gay” stfu.

[@k01clrkk22]

I literally have an exam in 44 minutes
Update: I Passed the exam and now work at McDonalds for minimum wage.

[@yummimuffuun6496]

How'd it go?

[@alexmisra6690]

lol

[@rockerocker4608]

Got one in 6 minutes

[@misspiggy6667]

I have one tomorrow

[@rayviews6798]

Mine is in 50 minutes

[@lycherasbry]

much better than professor's 2 hour lecture

[@lulusunboxing1678]

Chenfang Pan relatable

[@somatia350]

Chenfang Pan how are you having this in a college lecture? I don’t know where you come from, but...

[@harjitsingh7308]

Snovaltica what do you mean "how are you even having this as a lecture"? In my college when we covered functions we also covered the corresponding graphs for them :/

[@jylee4582]

Harjit Singh bruh im learning this in 9th grade

[@SilverRyuu]

@@jylee4582 College tends to have refresher classes. In my college if you don't do well on the math placement test they put you in pre-calc

[@mrmckown3695]

watching in the bathroom during a test 🙏🙏🙏

[@RaquelSantos-hj1mq]

Sneaky 😂

[@jefejeffwell1113]

Bro 😂

[@anmolbrar1293]

lmao

[@sukesheducation]

i only wish icould do that lmao

[@Akainusan]

😂😂😂😂really

[@swatstune]

This was one of the best explanation of exponential graphing i came across. I had been struggling to understand it. Now I get it!!Thanks a bunch.

[@chisengachisenga1683]

I don't know what I would have done without you...a 10 of your teaching is better than a 2 hours lecture that is full of confusion... thanks a lot

[@SM-jk6zk]

literally using this the night before an algebra 1 unit test and it’s saving my life rn

[@carolinekenna5200]

literally saving me rn... also why does it say it's algebra 2?!?!

[@drawingfreak9936]

@@carolinekenna5200 bc this is algebra 2

[@RyuuA3]

Funny how one year later the same thing Is happening, I have an algebra unit 1 test tomorrow

[@Skate0f8]

Got an algebra 1 test tmrw as well

[@ilovehangezoe2]

@@Skate0f8how’d it go dude

[@Kw1g1]

I was absent for a week while this was being taught. This helps so much because i have a test tomorrow!!! THANK YOU

[@Punkerooni]

honestly my teacher is so useless when it comes to new lessons, so bless you for helping me decode his crap

[@realabbas24]

Someone understands my pain thank u

[@jonathanmersha4901]

Shut up and listen in class then. Not that hard

[@learningchannel3850]

@@jonathanmersha4901 we have all had teachers that can't teach. At my school, the maths teachers are not that great. I went from a 65 to a 85 just from watching TH-cam videos on maths. They explain it a lot better.

[@vibewithsri8064]

@@jonathanmersha4901 have a feeling you're a lecture... Just saying

[@Cronyth]

@@jonathanmersha4901 stfu 😂

[@samstrc]

exam in 45 min, this man's doing gods work

[@anthonytorres5861]

Here watching this at 10pm before a finale because my teacher is can’t teach to save her life

[@Error-4O4]

I can relate it’s 10:15 right now

[@zaybo1880]

Maybe you don't listen in class

[@nat9586]

Zaybo 1 some teachers just suck even if u listen

[@marcusvergara6193]

@@zaybo1880 so you think the reasons why the education system is failing because students aren’t listening?

[@marcusvergara6193]

@@zaybo1880 also, why would someone not listen in a literal classroom, where it’s easier to listen but would listen in a video?

[@berylliaxo]

9:55 "started from the bottom to the top" - organic chemistry tutor

[@jaxv94]

now we're here 👇💁‍♂️

[@spookeryt302]

It’s right though, in a function you put the smallest one first

[@lone3233]

@@spookeryt302 its a song reference

[@jerrysamuelapso328]

He is my favourite tutor.
I tell students to type only Organic Chemistry for their solutions in science and math
One love from PNG 🇵🇬

[@trevor6433]

I came here for help on my homework and I figured the whole thing out. This video is 10 minutes long and my class is 45 minutes long. There is something wrong

[@palmtoptiger1405]

The rest of the 35 min you do it on your own in class

[@potatogram]

bruh same

[@schrodingersgunna6390]

The 35 min is to menstuate

[@carolinekenna5200]

my teacher was like "now that you all understand it we are going to be moving on" and then we all said we didnt understand it at all and she basically just said we should know how to do this already. keep in mind shes teaching this to 13 year olds on a monday and we are in an algebra 1 class, not algebra 2?!?!

[@a.jjj.h]

Only a minute into the video and you taught me what my teachers couldn't !! Thank you !!

[@bobyang560]

Saved me from failing a test! Thanks a lot!

[@ayraroo]

guys this NOT EVEN FUNNY IM GONNA FAIL MY MATH EXAM SO HARD WHY ARE THERE 11 LESSONS LIKE AINT NOBODY GOT TIME FOR THAT😭 I'm sorry to my mom, my dad, my math teacher, my school, my brother, my sister, my grandma, my family, my friends I'm sorry to everyone who will have to witness my marks😞

[@phaseyon5825]

rip

[@xenaidaschronicles2300]

Girl stand up 😭😭😭this is embarrassing

[@lanakat]

same I’m cooked o well idc about anything anymore

[@elbombero6818]

did bro pass?

[@nameischelle]

@@lanakat😭😭

[@crowlikely9540]

College Algebra is killing me these videos are comin in clutch preciate you homie

[@42jbell]

My brain is on overload from watching this..

[@crazymakerofthings633]

I am helping my kid with his math. Thanks for being the only person on the internet that can apparently explain this topic succinctly.

[@acquaura4404]

Your videos are seriously the best and have helped me in uni, thank you!

[@chandrasekhar2187]

Could you please group all your graphing videos into a single playlist like all the concepts are grouped in your mind?

[@tulikaakashyap5657]

i'm currently auditing classes and you literally just saved my life. thanks!

[@Elijahmostly]

Got a test in 5 minutes, well done🙏🏽

[@seanjensen2365]

i dont know what i would do if it weren't for these videos. you have made my life better

[@chrer9385]

So thankful for you organic chemistry tutor❤ i love you❤💘

[@123I-n6y]

Thanks bro I'm freshman and I got a test from graphs

[@Pharomid]

@@diegochu7594 my boy has grown up so much.

[@schooluio]

some guy #.

[@dknuts7080]

Are you a senior now?

[@rahmarazeen7471]

hows it going m8

[@brickfinity827]

He grew up so fast 😅

[@narruh]

Okay you explained this WAY better than this virtual summer school dude wow. THANK. YOU.

[@factorerivative]

Thx,I got my grade 9 Olympiad tmr and I got this for revision and I realised how clear ur video is,the so called professional explanation is just full of bullsheet and incomparable to this vid,thx

[@kevimasood3020]

Thank you so much finally someone who explains the range of exponential functions clearly

[@salmaahmedMohamedAlkilany]

you just make everything simple although you cover all little details, its just amazing!!

[@kamolashakirova3959]

All your videos are clear and easy to understand.

[@yasseenyoussef]

dont get me wrong i need help in math... but this guys voice makes sure i know it

[@PunchDParty]

Dude, you’re a god

[@GSU_Panther_Nation]

Great Job! You just managed to teach better than Khan Academy and outpaces most college professors combined

[@xFamilyContreras]

I have my midterm coming up and you’re the best!

[@jorgefloydsimango3996]

Dude you deserve all the money in the world

[@rodigopizarro9414]

thank you, I'm teaching myself pre calc then calculus

[@jaydagrant8526]

Your videos are sooo amazing thank you so much you make these functions so understandable . My professor just don’t know how to teach 😩

[@yac_memer_man8222]

no your black you cant watch those

[@HeroicCinema]

Thank you man... you're a star

[@yanyu8670]

i have an exam in about 10 hours pray for me

[@captaineldeezee1336]

Thank you for telling me what "e" was.

[@cly5024]

very well explained, thank you!

[@zhouwang9508]

Your whole channel is soooooo good 👍

[@yewonie07]

oh my gosh - i have a really important exam coming up, and your sketching log/exponential functions videos saved me. thank you so much!

[@noyolomdaweni7135]

2021 i'm here and i cannot believe how simple he makes sound♡ may the lord bless you

[@Raj-tj3xt]

Best concept on TH-cam ❤❤❤❤

[@cindyzhang8125]

You are a god sent. My teacher for the life of him could not make this clear.

[@briannejohnson3411]

literally saving my life rn.

[@w.p.958]

Holy crap, you are Math Jesus! 10 minute lesson is of more value than past 4 hours in my college math class lesson...

[@solenkassahun316]

Bro i have lernt this for about 2 period(90min) but i didnt understand until i watch ur video tnxs keep doing more

[@meiigyu]

i love you you saved my life

[@lulusunboxing1678]

U just saved my life

[@Skyverb]

Super helpful lesson. Ty!

[@mark-rj5kz]

This guy has saved me so many times 😅

[@BenPudenz]

You just saved my life in 3 mins I love you❤

[@sebastianoliveros6030]

you’re the real mvp!!

[@duhitzbiaa]

exam starts in an hour and i’ve literally been watching your videos about graphing trigg and now this 😅😅

[@yrew2004]

Thanks sir

[@Lumenxii]

I love your videos

[@yvonnejohnson3710]

Thank you! This video was very helpful.

[@francisesorymin3177]

Stop blaming the teachers he is also a teacher just give the credit he deserves

[@avishkarandika4473]

my man is everywhere

[@MLynn33]

You are a fantastic teacher👌🏽👌🏽👌🏽

[@makayladavidson5459]

My teachers don’t actually teach us how to do the problems they teach us how to use an app/website that will do the problem for us. I didn’t know you could actually work these kinds of problems out mentally

[@randotron428]

i appreciate you...You "content creator" whatever your name is !

[@Emily-uj5gv]

How do you know what x values to pick?

[@Fly_tx]

Thank you man, every problem I faced solved by your videos

[@lisasimpson3890]

Thanks so much I am in 8th honors algebra 1 and we just had a break and I forgot everything we learned

[@blushfamilyrp]

I always click on these videos and then just end up reading the comments to see the other people suffering with me.

[@raghuveerpaladugu3791]

ur actally the goat bro 🙏

[@GD-in3gw]

Thank you for saving my math grade as always. I CANNOT THANK YOU ENOUGH!

[@seedo1648]

oddly soothing video

[@mushfiqurrahman8731]

you are just incredible man

[@nootoot3]

I almost failed my test your my savior

[@AmendaKenken-d4d]

Thank you very much for your help,I truly appreciate this 🙏

[@Weskie101]

My teacher gave me a new day to make the exam because I wasn’t ready so here I am

[@mxtafsa]

w

[@Kavyathegreat]

did you pass?

[@juliaralekholela9854]

I have a test in 30min but I confidently feel alright bcs of this video

[@Ae03006]

The greatest thicher that ever lived

[@tharushadakshaka166]

Thank you clearly explained! 😎

[@jordsc76]

Nice explanation sir💯👍🏻tysm😊

[@sarjosawaneh2738]

It's clear on my side

[@jmmifsud1]

you contradict yourself - saying y cannot be zero then you say the range if 0 to infinity - wrong. Range is 0 < y < infinity

[@Rorablink]

Yeah that was a mistake range is y>0

[@sydneyrehmke9598]

where my crammin for finals gang atttt

[@diwyat7122]

omg ....GOD BLESS YOU!!!!

[@lungueveter94]

Thanks so much 🙏🙏🙏

[@helenday5031]

If such a thing were possible, I would name this lesson Organic Goldmine. Except it's not gold trapped in ore, it's pure gold, every word.

[@schrodingersgunna6390]

October 24, 2021. The value of gold decreased because of the surge in supply.

[@xolarp067]

bro im skipping to highschool and this shit made way more sense than some damn khan academy

[@cuprous7426]

wow, thanks man! This makes so much sense :)

[@berthamwewa6938]

He's saved me

[@nilimabarde85]

Thank-you sir. Will the shape of the graph change if I consider e to be 3 and not 2.7?

[@ela6252]

yes

[@SwordTernate]

i like the examples alot

[@MidnightStorm4990]

I just wanted to ask would you still be be able to answer these questions by drawing the original function then shifting that function into the new function

[@edgarr.r7471]

Sheeeesh this actually helped
thank you
very
much
sir

[@mandeepkumarsingh5972]

thanku very much sir

[@landmine5702]

This guy is really good. I'm good too but he is way too good.

[@kamenstefanoff9950]

Thank you for the amazing video, helped me alot 👍☺