Graphing Logarithmic Functions With Transformations, Asymptotes, and Domain & Range
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- Опубликовано: 11 сен 2024
- 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-tuto...
Full-Length Videos and Worksheets:
/ collections
Logarithmic Formula Sheet:
bit.ly/4fEwqv0
Logarithmic Formula Sheet: bit.ly/4fEwqv0
Final Exams and Video Playlists: www.video-tutor.net/
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at 7:18 domain should be (-2 , infinity) cuz vertical asymptote x = -2 .
And also at 14:39, domain should be (3,infinity)
@@gardenhome5970 yes because VA is 3
I THOUGHT I WAS WRONG THANKS GOD I WASNT THE ONYLY ONE WHO NOTICED THANKS
thank God i thought i was the only one
@@gardenhome5970
6 years ago and still saving people from overthinking!
This has to be the best math tutor,he understands what we need
17:20 You forgot to shift the y-values up 1. The correct values would end up being (-1,1), (-e, 2)
You're right, he just forgot to add 1 but it's okay
Thanks I was so confused
Yes
exactly!
glad someone saw that, i was down here making sure i am not going crazy
Domain is 3 to infinity(14:45)
exactly... that was a costly mistake
Yeah that's what I was thinking
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!
@@Frankexplorer1986 well said even though it was a year ago.
Apart from your explanation which is absolutely fantastic, your voice is so damn beautiful
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!
Thank you so much for making this concept so much clearer.
Thank you sooo much for these videos!! You are helping me make an A in pre-calc!!!
You're so direct to the point, I love that! Keep on uploading 😙
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.
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.
14:29 I don’t think that (7,3) would be there, you placed it on (5,3) but I get mistakes happen
I have never taken lecture like this in my entire life God bless you Buddy
at 7:18 the vetical as should be -2
Are you sure ?
I noticed that but....
Right but you can see where it’s at on the graphs
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???
Wonderful Video and crystal clear explanation!
(14:47)
domain is (3, +infinity)
This guy explanation just science as game
I have an exam tomorrow and this video was very helpful for me. Thanks a lot 🙏
This can't be explained any better, thanks a lot!
TQ IN ADVANCE…for sharing easy method..and give a clear explaination
07:16 wouldn't the range be (-2, infinity)? as x+2>0 => x>-2
Yes
i think you meant the domain, and yes, D
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.
The explanation was excellent, asante🙏, now I can even spot a few errors you made😂
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you must be the greatest prof when teaching in college !!!!
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
I think you ment 17:20 as I also was a bit confused by it. Nonetheless, very helpful video.
You made me pass the quiz bro
Thanks
In the question y=log(x-3) base3 +2 ,you should say that Domain is (3, infinity). Thank for your sharing.
at 14:38 the domain is from 3 to infinity and not 4 to the infinity
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?
Great video, I was able to completely understand it all just from this thanks
Thanks sir...I've got a good understanding coz of u....I was really complex befor watching this...thanks
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.
You right because you have e 1 which zero plus + 1 equal 1
Yeah at 14:40 I did it and i was like, whaaa is going on
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
Yaa at 17:20 he forgot the +1 in the function.
he's still good in my book. He has helped me big time with understanding the stuff that doesn't click from the lectures.
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I think in 16:46 until 17:00 wrong, he should add the 1 after doin everything, right?
Yeah, I was thinking the same thing....
I think he forgot😅 but thank you guys for pointing that out😅 I still wouldve not been sure if you guys didn't
thanks. I thought I was wrong .
Logs Cumulative in two days. Very helpful, thanks!
how did it go?
would a log function ever be reflected across Y- Axis? Thank you for the video.
Nevermind! I asked too soon. Just studying for my Exam
thank you so much, you just saved me big time. you are the best tutor.
Cool video! What program do you use for drawing and for recording screen? Thanks
Thank You!!! You made life easy!!!
Just picked the way you explained, thanks for the help
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Graph this. 4log(-x-2)-3 the base is 1/3
It is positive log but it goes down then left towards negative, why?
Wait shouldn’t the asymptote be at 3 not 4 at 14:40
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At 14:40 the domain is 3 because the VA is at 3
in the last question shouldnt the domain be 3,-infinity
very useful. great video!
Thank you sir, learned a lot😍
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?
7:17 Domain (-2,infinity)
on the part of the domain D(4:infinity)
Thank you for doing this
This helped me so much
Great explanation
14:42 the domain should be starting at 3 to infinity since VA is 3 right??
Domain is (-2,inf) @ 7:14.
7:12 shouldn't that be negative 2 since is on the left of the vertical?. So the domain should be (-2,infinity) right?
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You save me dude thanks a bunch..
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u ar de best man 👍... i like your video well explained
Suggestion: workout the examples prior to making the video.
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.
What are the key parts of graphing a longarithmic(log) function??
Man you are the Best
That of log4 domain is from 4 to infinity may be 3 to infinity???
Thank you very much .
Thank you so much for your help❤.
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Thank you so much! You saved me😍😄
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)...
14:42 isn't the domain supposed to be [3, ∞)?
I think it's supposed to be (3,∞)
open bracket not closed one
Thank you so muchh! It really helps me
thank you sir
i fail to understand why this video has even dislikes🤔
I think up and down had not been taken care of. What's the reason?
Good video thank you
For 8:30 i wanna ask shouldnt the graph be shifted 3 units to the left since it is positive 3?
I thought that too... It seems like they made a lot of mistakes
@@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.
Xhesi Tase isn’t that equal to -x+3
@@benmader66 what you’re saying is the same equation but with the positive 3 and negative x written in different positions.
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.
There is an error in the graphing at approximately 14:30
Gayle Siebert instead of placing the point at ( 7 , 3) he placed it at (5, 3) . That was the mistake
Thank you, that's all I can say
pls, explain the y values 0,1, supposed to be 1,2 since u have +1 in d last term. reply. thx
at 14:40 wouldn’t the domain be 3?
for ur 1st Q log2(x), you wrote the range as (-inf,inf) and I was just wondering if u can also write that as R or no?
That R symbol means all real numbers or (-inf, inf). You can use either or.
Pls help me to solve this
log0.25X
@@jzpemina9185 Try to figure out what the base and the exponent is. If the exponent is negative, that means the answer will be a fraction.
you still have to determine the third point y = 0 in all these cases
just to make it a bit nicer, u can find when it is 0, f(x)=0 !
I love it
What if there's no base, does it always emphasize as e or only for natural logarithmic only?
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.
TNX sir.
how to plot x= log y?
Thanks!
did explain the series topic?
can anyone explain using graph why there is no solution for y=log3^(-4)
Thanks you .
You're a godsend. I hope you're making money off this haha
how about log3 base x ?
Can somebody tell me how to find the table from the calculator?😊