Graphing Logarithmic Functions With Transformations, Asymptotes, and Domain & Range

Рет қаралды 409,962

7 жыл бұрын

This math video tutorial focuses on graphing logarithmic functions with transformations and vertical asymptotes. It also shows you how to graph natural logs by making a data table and plotting points. In addition, it discusses how to write the domain and range using interval notation. This video contains plenty of examples and is useful for students taking algebra 2, precalculus or college algebra.
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-tutor.net/
Full-Length Videos and Worksheets:
/ collections

Пікірлер: 198

@TheOrganicChemistryTutor 6 ай бұрын

Final Exams and Video Playlists: www.video-tutor.net/

@batagur4233 Жыл бұрын

Know that by making these you have saved millions of lives, educated more than any of our teachers could’ve, you have helped pass tests, feed curiosities, and get us into our dream jobs. Thank you.

@katerinavalle3187 Жыл бұрын

Legit

@literatureandgaming-yt9352 8 ай бұрын

Fucking Based, guys a Chad!

@sk8n854 8 ай бұрын

I'm not sure how they save millions of lives, but otherwise, I agree.

@WashedJawsh 7 ай бұрын

@@sk8n854 saved millions from their parents' ass whoopings

@nousername7509 5 ай бұрын

I don’t know about your teachers but most of the people who taught me did very well

@vedantm3627 6 жыл бұрын

at 7:18 domain should be (-2 , infinity) cuz vertical asymptote x = -2 .

@gardenhome5970 Жыл бұрын

And also at 14:39, domain should be (3,infinity)

@studytips2058 Жыл бұрын

@@gardenhome5970 yes because VA is 3

@Kai26448 8 ай бұрын

I THOUGHT I WAS WRONG THANKS GOD I WASNT THE ONYLY ONE WHO NOTICED THANKS

@vxnessa3866 8 ай бұрын

thank God i thought i was the only one @@gardenhome5970

@samueleczek 3 ай бұрын

6 years ago and still saving people from overthinking!

@thatohimself6426 2 жыл бұрын

This has to be the best math tutor,he understands what we need

@Thehouse385 5 жыл бұрын

This is actually incredible you should be paid millions

@frederikreich538 4 жыл бұрын

he is lmao

@leoguerra4549 3 жыл бұрын

@@frederikreich538 Fr?

@marleyalexzander9326 2 жыл бұрын

I know Im pretty off topic but do anyone know a good website to watch new tv shows online ?

@schrodingersgunna6390 2 жыл бұрын

Million dollars from illegal organ farming and human trafficking

@oozly9291 2 жыл бұрын

@@marleyalexzander9326 what type of shows?

@alinoora1994 7 жыл бұрын

thank you! you literally saved me! I was so desperate i actually signed up for thattutorguy and i still didnt understand it until i seen your video!

@josuecarloscuginguilua5032 5 жыл бұрын

You're so direct to the point, I love that! Keep on uploading 😙

@minozamegbrian3785 5 жыл бұрын

Domain is 3 to infinity(14:45)

@IjeomaAdindu 5 жыл бұрын

exactly... that was a costly mistake

@chaoticyatan7115 4 жыл бұрын

Yeah that's what I was thinking

@Frankexplorer1986 4 жыл бұрын

Some mistakes, but the fact I am able to spot them means that I actually got this, Maybe u guys got this and came here just to check this guys math, but I honestly came here not knowing and I am leaving like I learned something new. Thank you so much, anyhow for pointing mistake as this can only help everyone. This tutor rocks and I’m thankful for him, thank you The Org chem Tutor!

@zombiegd1969 2 жыл бұрын

@@Frankexplorer1986 well said even though it was a year ago.

@user-uj7we3sg1o 5 жыл бұрын

Apart from your explanation which is absolutely fantastic, your voice is so damn beautiful

@EdSmed20 5 жыл бұрын

17:20 You forgot to shift the y-values up 1. The correct values would end up being (-1,1), (-e, 2)

@chaoticyatan7115 4 жыл бұрын

You're right, he just forgot to add 1 but it's okay

@fryPS 4 жыл бұрын

Thanks I was so confused

@abd...... 2 жыл бұрын

Yes

@minthuta726 Жыл бұрын

exactly!

@wolfiejadestudios5085 7 ай бұрын

glad someone saw that, i was down here making sure i am not going crazy

@caroljackson767 5 жыл бұрын

Thank you so much for making this concept so much clearer.

@terminatr 4 жыл бұрын

Thank you sooo much for these videos!! You are helping me make an A in pre-calc!!!

@arulgk9673 5 жыл бұрын

Wonderful Video and crystal clear explanation!

@nahidbarghi1707 7 жыл бұрын

Thank You!!! You made life easy!!!

@-EE-hassamsaeed 3 жыл бұрын

I have never taken lecture like this in my entire life God bless you Buddy

@lanomusambazi8654 2 жыл бұрын

Good evening to you sir. Thank you for sharing this great knowledge. I have learnt a lot from your videos. Kindly shade more light on the second last example which has a natural logarithm. I'm a bit behind on how you got the y values. I thank you.

@noraitunoya4527 4 жыл бұрын

thank you so much, you just saved me big time. you are the best tutor.

@user-rp6ls9vj4q 3 ай бұрын

This can't be explained any better, thanks a lot!

@chaoticyatan7115 4 жыл бұрын

Just picked the way you explained, thanks for the help

@Djdjudhdishdhdbabababbsb 4 жыл бұрын

Thank you for doing this This helped me so much

@mridulboro7284 3 жыл бұрын

Thank you sir, learned a lot😍

@saviourmukuka2833 6 жыл бұрын

u ar de best man 👍... i like your video well explained

@nikolabaurterzic7382 7 жыл бұрын

Cool video! What program do you use for drawing and for recording screen? Thanks

@remmiem.897 6 жыл бұрын

Thank you so much! You saved me😍😄

@dracarys0909 4 жыл бұрын

You made me pass the quiz bro Thanks

@maryamqolami-lj4fk Жыл бұрын

I have an exam tomorrow and this video was very helpful for me. Thanks a lot 🙏

@1dstyles994 6 жыл бұрын

Thank you so muchh! It really helps me

@darkking9836 6 ай бұрын

Great video, I was able to completely understand it all just from this thanks

@HossamHassan-nu2iz 5 жыл бұрын

Love your explanation so much, just try to concentrate while making your videos I know mistakes happen but simple mistakes like these are confusing too many people.

@sharrlayy5616 Жыл бұрын

Thanks sir...I've got a good understanding coz of u....I was really complex befor watching this...thanks

@BishFiscuit 2 жыл бұрын

Great videos! I'm currently tutoring and these videos are great review for me! I do have a question... when finding points to graph, why do you choose 0, 1 and the base to set equal to the inside?

@lilyy8239 5 жыл бұрын

14:29 I don’t think that (7,3) would be there, you placed it on (5,3) but I get mistakes happen

@ymy0009 6 жыл бұрын

you are a life saver u know that ?

@priscamwale9132 Жыл бұрын

You are the best tutor 🔥🔥🔥🔥

@ahmedadam123 Жыл бұрын

TQ IN ADVANCE…for sharing easy method..and give a clear explaination

@TriNguyen-dl9uu 7 жыл бұрын

at 7:18 the vetical as should be -2

@Brainer 5 жыл бұрын

Are you sure ? I noticed that but....

@Thehouse385 5 жыл бұрын

Right but you can see where it’s at on the graphs

@epicmoments1964 Жыл бұрын

The explanation was excellent, asante🙏, now I can even spot a few errors you made😂

@mayweerajit 6 ай бұрын

you must be the greatest prof when teaching in college !!!!

@soebasaeed8614 3 жыл бұрын

our youtube's best teacher

@maleeshapriyanjana7604 3 ай бұрын

very useful. great video!

@Tanrdsgener 2 жыл бұрын

Logs Cumulative in two days. Very helpful, thanks!

@ProfessorPB21 Жыл бұрын

how did it go?

@halidsufiyan3663 2 жыл бұрын

This guy explanation just science as game

@charlottewang8189 3 жыл бұрын

Great explanation

@Alex-nw2rv 6 жыл бұрын

you are the best

@Fear_Sparrow 4 жыл бұрын

You save me dude thanks a bunch..

@Danielrjb97 4 жыл бұрын

God bless you . you are like an angel !

@c.sunshine4009 5 жыл бұрын

Hey could you please explain to me why at 14:37 the domain starts from 4 and not 3. Is it because when the 3 is plugged in as X,it will give you a math error. Please explain??? Or should it actually start from 3 because the VA is 3???

@domar24news 5 жыл бұрын

love you from Bangladesh

@mindless3087 5 жыл бұрын

this video is also thanks a lot. this really helped. but there is a mistake at 7:20 . according to your explanation. when x = -1 y should be 1 and when x = -e y should be 2 . but thanks a lot for the video keep up the good work

@TheAymen 3 жыл бұрын

I think you ment 17:20 as I also was a bit confused by it. Nonetheless, very helpful video.

@skaitha3135 3 жыл бұрын

tq so much gurujiii❣️

@user-og5rf1js7x Ай бұрын

Man you are the Best

@ahmed0083 4 жыл бұрын

Good video thank you

@kawsaridres5434 6 жыл бұрын

Thanks you .

@ya_sa9622 3 жыл бұрын

Thank you very much .

@bc6603 5 жыл бұрын

What do you do when you get a negative y quantity? Isn't that undefined? Do you set the argument to another x that would give a positive y?

@dudonz 4 жыл бұрын

07:16 wouldn't the range be (-2, infinity)? as x+2>0 => x>-2

@parkerflournoy5331 4 жыл бұрын

Yes

@spicyy812 4 жыл бұрын

i think you meant the domain, and yes, D

@kurapika3285 2 жыл бұрын

No, the range is correct. I think you may be observing from the perspective of the covered x units, or you meant to say the domain. Your answer would be what the answer of the domain is supposed to be since the video accidentally writes it as a positive 2. However, if you truly meant the range, the range mentioned in the video is correct as it goes in the directions of infinitely upwards and infinitely downwards.

@nicholas9718 4 жыл бұрын

You're a godsend. I hope you're making money off this haha

@ahmadbaera5519 5 жыл бұрын

at 14:38 the domain is from 3 to infinity and not 4 to the infinity

@user-rc3ep6jm9g 6 ай бұрын

In the question y=log(x-3) base3 +2 ,you should say that Domain is (3, infinity). Thank for your sharing.

@rahmamonsef5851 3 жыл бұрын

you are a genius

@mehrankhan8600 6 жыл бұрын

Sir plz could you explain me. As u said urlier that we can't give negative value to log. Then how can u draw the graph for Y=+Log(-x)...

@shwapnoamv 3 жыл бұрын

(14:47) domain is (3, +infinity)

@ramimrazzak 4 жыл бұрын

What are the key parts of graphing a longarithmic(log) function??

@setare-hc5hq 4 жыл бұрын

Thank u❤️

@iimousa97 7 жыл бұрын

did explain the series topic?

@vicnewsome 2 ай бұрын

Thanks!

@Sam71914 7 жыл бұрын

Domain should be 3 to infinity at 14:40 Also, I think the y-values you have are both incorrect at 17:20. when you plug -e it equals 2 and when you plug -1 it equals 1.

@user-xv8fx1mn5j 7 жыл бұрын

You right because you have e 1 which zero plus + 1 equal 1

@batchprogrammer108 5 жыл бұрын

Yeah at 14:40 I did it and i was like, whaaa is going on

@herthikprathaban1848 5 жыл бұрын

The domain is (4,infinity) its ‘(’ not ‘[‘ which means that 4 is not included. The brackets u use is what that determines whether its 3 or 4

@herthikprathaban1848 5 жыл бұрын

Yaa at 17:20 he forgot the +1 in the function.

@Raevenswood 5 жыл бұрын

he's still good in my book. He has helped me big time with understanding the stuff that doesn't click from the lectures.

@ahmadkhallouf8329 4 жыл бұрын

I think in 16:46 until 17:00 wrong, he should add the 1 after doin everything, right?

@nelo6435 4 жыл бұрын

Yeah, I was thinking the same thing....

@constantine166 3 жыл бұрын

I think he forgot😅 but thank you guys for pointing that out😅 I still wouldve not been sure if you guys didn't

@astudilloerika31 3 жыл бұрын

thanks. I thought I was wrong .

@pillowyflunky9931 2 жыл бұрын

thank you sir

@oops1088 Жыл бұрын

7:12 shouldn't that be negative 2 since is on the left of the vertical?. So the domain should be (-2,infinity) right?

@edgardoconcepcion8308 6 жыл бұрын

pls, explain the y values 0,1, supposed to be 1,2 since u have +1 in d last term. reply. thx

@medicisounds1384 Жыл бұрын

would a log function ever be reflected across Y- Axis? Thank you for the video.

@medicisounds1384 Жыл бұрын

Nevermind! I asked too soon. Just studying for my Exam

@bongumusamotha4080 3 жыл бұрын

Thank you sir , but on one of the logarithmic graph with its asymptote i'm not satisfied { y=log_4⁡〖(x-3)+2〗} you said the horizontal asymptote is x=4 when sketching i don't understand.

@ninjaturtles12121 5 ай бұрын

14:42 the domain should be starting at 3 to infinity since VA is 3 right??

@stemstability_baytiaram.4290 Жыл бұрын

Thank you, that's all I can say

@sasithliyanage4960 Жыл бұрын

TNX sir.

@worldofguns1242 2 жыл бұрын

I love it

@mohammadbolalwafa2541 4 жыл бұрын

Graph this. 4log(-x-2)-3 the base is 1/3 It is positive log but it goes down then left towards negative, why?

@pinkykhan6051 4 жыл бұрын

in the last question shouldnt the domain be 3,-infinity

@ilanpg99 6 жыл бұрын

Great video, just correct the mistakes and it would be perfect.

@pusheletsommatladi4686 4 жыл бұрын

i fail to understand why this video has even dislikes🤔

@muhadisaishaq7876 6 жыл бұрын

Sir plz upload vedio on finding domain and range of logarithmic function

@georgiostsatas7976 5 жыл бұрын

At 14:40 the domain is 3 because the VA is at 3

@yd1372 6 жыл бұрын

Wait shouldn’t the asymptote be at 3 not 4 at 14:40

@bensonkwok951 6 жыл бұрын

For 8:30 i wanna ask shouldnt the graph be shifted 3 units to the left since it is positive 3?

@sabrinanardone5854 5 жыл бұрын

I thought that too... It seems like they made a lot of mistakes

@xhesitase9729 5 жыл бұрын

@@sabrinanardone5854 No, it is suppose to be shifted to the right because when you equal the vertical asymptote to zero, x will be positive. It can be a bit confusing when the x variable is after the integer.

@benmader66 5 жыл бұрын

Xhesi Tase isn’t that equal to -x+3

@kurapika3285 2 жыл бұрын

@@benmader66 what you’re saying is the same equation but with the positive 3 and negative x written in different positions.

@kurapika3285 2 жыл бұрын

No that would be if you subtracted 3 from the equation and got a negative 3 equated to a positive x. However given x is a negative, even if you subtracted 3 you’d still have to divide it by -1 to get rid of the negative in x resulting in x=3. Hence it should be shifted 3 units to the right, in other words the video is correct.

@LovelyJohnKanyika 3 ай бұрын

That of log4 domain is from 4 to infinity may be 3 to infinity???

@user-rp2ed5bn3u Жыл бұрын

Nice

@easymathKKIS 7 ай бұрын

7:17 Domain (-2,infinity)

@jiri4415 3 жыл бұрын

Domain is (-2,inf) @ 7:14.

@bongumusamotha4080 3 жыл бұрын

on the part of the domain D(4:infinity)

@daveprince9359 6 жыл бұрын

can anyone explain using graph why there is no solution for y=log3^(-4)

@jiri4415 3 жыл бұрын

Suggestion: workout the examples prior to making the video.

@vincentblue2634 3 жыл бұрын

What if there's no base, does it always emphasize as e or only for natural logarithmic only?

@kurapika3285 2 жыл бұрын

If you don’t see a base on log, it’s automatically 10. The e (euler’s number) the base for ln, the natural log. Basically the base of log only is 10, whereas e is the base of ln.