46 year old engineer here helping my 17 year old daughter with her math. Thanks once again for being, apparently, the only guy on YT that understands this stuff well enough to explain it. Huge thanks for providing all the info you need to solve the problems on one video. I never make comments on YT videos, but you sir are awesome!!
Coming from an engineer I'll take that as quite the compliment! Thanks for taking the time to share your appreciation for these videos. Also, thanks for being an involved parent! ...after 23 years of teaching I don't see that enough:( Please share this channel with any other parents you know and also your daughters teacher so they can share this free study resource with ALL current and future students, and remind them how important it is to like, subscribe, support the ads and share these free educational channel you find helpful because that's how we remain free...BAM!!!
In my day the saying went..."Time flies when you're having FUN!" And THANK YOU for watching, liking, the nice comment and supporting by subscribing...please help my channel growth by sharing with your friends too:D
I noticed there was a bit of a pause on that one...sometimes I even have to do a few retakes just so I can make sure you viewers out there are awake and ready to learn:)) Thanks for your continued support!
You are so welcome!!! And THANK YOU for supporting by subscribing....please continue to help my channel groW by sharing your experience and my channel with others:D...and keep watching and learning:)
I don't normally make comments on RUclips but I just want to say thank you for all your videos! I passed college algebra and triginometry because of your channel. I am now taking pre calculus and I'm still watching your videos. I wish I had you as my professor. All the ones I have had suck! Anyways, keep up the good work! I hope I get good at math as you are one day.
+Alex Procel thanks for taking the time to "thank the teacher" and sharing your successes with us! (at least I can be your RUclips teacher:) and we greatly appreciate the continued support! Please remember to like, subscribe, support the ads, share thru social medias and with all your friends and classmates to support free educational channels like mine so they will remain free:D
For that particular example yes...I am just showing the process that should help with any rational function (as long as the numerator and denominators are polynomials) :) Thank you for watching. Sorry it took so long to reply.
You are very welcome. Please help to support my efforts by spreading the word about my new channel and supporting the ads:) I hope you do great in your studies!
I'm taking summer school to get ahead and have the worst precalc teacher and it's his first year teaching. I've started watching your videos and now everything makes soooo much sense. Thank you soo much!
You are soooo welcome Christian D. glad it was so helpful! Sounds like you should share my channel with your new teacher...suggest that he share the channel as an additional study reference with all his students:) Most teachers appreciate any type of additional studying from their students in order to learn more. And share it with your friends too:D I really appreciate all the support and sharing, that's how I groW!
Where are you here from? I am honored that you chose my channel to learn from and excited to hear that you are able to understand all my english...next thing you know you will be yelling BAM!! out loud in class when you get an answer correct:) Thanks for the kind words and for subscribing. Please be sure to tell the rest of your class where to find me:D
And awake too I hope...if so, my goal has once again been met:) Thank you for your support and be sure to share with all your friends if you find my channel helpful...Happy Thanksgiving break:))..gobble, gobble!
I've been studying in America as an exchange student for two months (I'm gonna stay here for a school year), and I'm taking pre-calculus. Your videos are AMAZING. You are the best math teacher I've ever seen. I wish you were my teacher! I learnt how to sketch a graph of rational funtcion. PS. As I said, I'm an exchange student and my English level is not so good. But I understood every single word that you used in this video. Oh, my God. THANKS!!
TheOrangeJuiceProgrammer you're welcome. Good to know it's helping. I only have the top 30 or so done so far...it's a very time consuming project (which I already don't have much extra of:( ...so I'm looking for ways to get them CC faster...maybe looking for some grant money to hire a transcriber to do them all since CC also can be translated thru google into many different languages as well:)
+ProfRobBob You might want to try a go fund me or something similar. I'm sure there are plenty of people out there who would love to help an individual who is making math so simple.
+Thedock Leesmile thanks, we'll think about that! My wife keeps hoping some company will volunteer to do the rest of them as a form of donation...we're just exploring all areas and ideas now. I'm taking a break from doing them on my own for now...it's sooooo time consuming and I want to make more videos. Teaching full time doesn't leave much free time as it is:(
Thank you very much for choosing my channel to learn from and good luck on that entrance exam...go into that classroom with the new found confidence you have and pass that exam like BAM!!!
That's awesome news...the world sure can use more teachers who have a passion to teach! In case you never heard the quote: "Choose a job you love and you will never have to work a day in your life"...Confucius Good luck on your test and let me know how you do!
Thanks for all those years of support and best of luck with your english career! If you love what you do, you'll never really feel like it's a job...BAM!!!
Your videos follow the pedagogical standards of an excellent instructor. One particular positive is your use of a clear and understandable sequence of steps. Another is the way you talk through your thoughts, e.g. why a certain variable equals a particular constant. A sparkle of being just like the rest of us when you wonder what you just said or what you almost forgot makes me smile. Thank you for all your efforts to help math students online.
How eloquently you write Karen Ketchum thanks you for taking the time to share the compliments and "Thank" the teacher! Please keep sharing my channel, remind them to like, subscribe, support the ads, like on Facebook, share thru social medias and with others...these are all the things that help these free educational channels groW and remain free...BAM!!!
My payment is knowing that I'm helping students like you succeed...and we do appreciate the sub too! Thank you from Florida...please spread the word and make this the "go-to" math channel in Oregon...BAM!!!
Put your equation into exponential form first and solve for x and then make a t-table by choosing y values and solving for each x. Subtract 4 from both sides, make both sides an exponent of two to cancel the log base 2, add 2 to both sides and divide by 5 to isolate the x.
I'm sorry to hear you are having so much trouble in class but happy to hear that my videos are helping you. We teachers all have our own unique teaching style and sometimes it just takes hearing it taught a different way can make all the difference. Maybe you could start a study group with some other classmates and watch my videos together and then problem solve together...give it a try, it has worked for other viewers of mine:) Thanks for watching and choosing my videos to learn from!
Thank you for the positive feedback. I hope you continue to find help in my videos...and good luck in your class:) I don't know about your teacher though!!!
Prof Rob, you are my hero!!! I passed college algebra with an A because of your amazing videos. Please keep posting videos, they are very helpful. Thank you
+Freyes190 You're welcome and thanks for choosing my channel to take the time to learn from and sub to! ...and a giant BAM!!! and CONGRATULATIONS on that "A"
Thank you for the positive feedback...and having the self motivation to search out extra videos to help you learn your math:) Please help me by spreading the word about my new math channel. Keep up the good work!
Yes and NO...I was doing a time check. This was one of my early videos, when I only had a 15 minute window of video time! (but all videos were shot AFTER SCHOOL hours!) Nice catch though...shows you were really paying attention and all teachers like that:D
I don't know how many of your videos I have already watched for my entrance exam into Calculus, but thank you very much for being such a great teacher.
We don't have a class called Advanced Functions…but we use textbooks written by Blitzer for Analysis of Functions and another of his books for PreCalculus.
your videos are amazing! I go from understanding nothing in my 1 hour pre calc class to completly understanding it through your videos! thank you so much...
THANKS Sabrina! Sounds like the perfect time to share my channel with your class and teacher so ALL current and future students can benefit from the free after class study reference...BAM!!!
Prof Rob Bob is a nickname my wife's friend gave me while I was still in college...I am not a professor but have taught math at the same high school for 18 years and when I started my youtube channel that was the first name that came to mind:) Thanks for your wonderful comment...and I hope you continue to enjoy watching and learning from my videos because I would be so proud to be a part of helping you find "your" passion for teaching! Keep me posted:)
+Zaman Surahyo teamwork...after all, you took the time to study...BAM!!! Please take the time to sub, like and share my channel and that awesome news with everyone:D
I'll take that B...for BAM!!! Thanks for choosing my channel to subscribe to and learn from...I'm happy to hear that those two choices helped you to get that B! Keep up the hard work and great study habits...those attributes are the things that will get far in life. Thanks for taking the time to share with me and keep it up...I'll be here with more videos:)
My wife scours the thrift stores for one of a kind RUclips appropriate shirts, we made some thru Vistaprint, have received a few math related from students and I made the pumpkin pi one for my halloween costume 2 years ago:) Thanks for noticing and watching!
Professor RobBob, thank you for a another well organized and refine video/lecture on Graphing Rational Functions Part One. All the tools that students learn about graphing is in full use. Graphing can also be checked or done by the Graphing Calculator.
Thanks for watching and learning Gingerbread Girl ! Please like, SUBSCRIBE and share my channel to help me groW and help others find out that math CAN be fun:D
You're a better instructor than my professor. On the night before my test (what a surprise, procrastination ftl) Im pretty sure you just saved me a good grade. Thanks a bunch.
You're welcome a bunch David Rodriguez and thanks for watching, learning, liking and subbing...I hope you go into class with your new found confidence and pass that test like BAM!!!
your videos are helping me for years now. now im in 11th grade, thank you so much, i understand it more with your vids than my teachers. youre amazing :))
Thanks for being such a loyal viewer! I hope you are sharing this channel and your experience with everyone in your classes along the way, especially your teachers...BAM!!!
@DotingDiamond Thanks...I do teach Precalculus...so I may be working through this a small step above the difficulty of Algebra 2. I have over 200 videos to choose from so far:) I hope some more of them can be helpful to you!
Dude, you're awesome. You helped me a lot with the Proofs and Trig and thanks to you I wound up with a B in my college algebra and trig class, which I never thought was possible. Keep them coming.
I always recommend your videos to my Algebra 2 & Pre-Calculus students! Thank you!!!! I was thankful to have them when I needed to brush up on my trig last school year!
You're welcome Melissa Krimmel and THANK YOU for recommending my videos to your students! It's always nice to have the support of a fellow teacher and know that you are taking advantage of the passion and hard work that goes into growing this channel while teaching full-time! If you'd like to further support, please remind them to like, subscribe, support the ads, and share my channel with their friends...that is the kind of support that helps these free educational channels groW, stay FREE, and continue to help others...BAM!!!
ever since i started watching your videos, i've started hearing your BAM!! in my head every time i solve a problem. you're the best! thank you so much for what you do. (:
Look, another comment means you are watching more videos...I hope you will continue to make me your "go to" math channel to learn from:)...and don't forget to spread the word:D
THANKS for watching and supporting...please sub and share to help us keep growing too! The new videos will few this year with my new teaching position but I hope to be able to add a new one at least once a month.
Thanks Callie Moerschell if you need a break from learning math I have a couple videos teaching my cursive style...BAM!!! Don't forget to like, sub and spread the word :D
I feel so special:) Thanks for watching and taking the time to comment and "thank the teacher"....it's always good to be reminded that all this effort continues to help students learn when they take the time to seek outside help like you did...BAM!!!
There is so many steps involved I am a little surprised you are not allowed to use a basic function calculator. It is the weekend, take an hour break and let your hand rest:)
Knowledge is power :) LOL You're welcome Thomas Ratliff ! Thanks for all the support. ...you are sharing with all your classmates and friends aren't you?! ...and reminding them how important it is to Like, Share, SUBSCRIBE, support the ads, Like us on Facebook, Twitter, Google+ and share with THEIR friends and tell them to do the same...BAM!!! That's how all of these free educational channels stay free and helpful to others and how we continue to groW! (I'm done now:)
Just wait till you actually find yourself saying it "OUT LOUD"...lol Thanks for putting a smile on my face this morning:)...and thanks for choosing my channel to learn from! Now please "SHARE" and "SUBSCRIBE"!!! (it's important to my channel growth:)
By the time you read this I hope you went in and passed that exam like BAM!!! I hope you will choose Tarrou's Chalk Talk for your future RUclips math help:)
Great video!!! It explains the steps of drawing a rational function really clearly. Just out of curiosity, wouldn't dividing the function through and then draw the graph be easier? After division, the function would be just (1 / (x - 3)) + 1, which is a regular rectangular hyperbola with a simple translation.
Merci encore!! I really like th way how y teach m . It brings my memory back t my coutry. Studying on a chalkboard for th whole night trying to find the value of "X" knowledge is power and we are th slaves of knowledge.
I can see by your comments that you have been busy watching and learning Alpha Jalloh and I want to thank you for your support and agree that knowledge is power...may I ask where you are from? Please keep sharing my channel and your experience with others so this channel will continue to groW and help others discover the knowledge that is right at their fingertips...BAM!!!
+Clive Siame you're welcome. Thanks for studying with Tarrou's Chalk Talk...please take the time to like, subscribe and share this free educational channel with everyone...BAM!!!
Thank you so much! In my Alg2 class I don't get anything. He has horrible handwriting and I sit in the back of the class, most of the time I can't see at all. He is said to be a genius, but he does not care if we get it or not. All the kids are afraid to ask questions because he always treats them like they are idiots for not getting it. He just taught us this and yet everything in this video was new to me. Thankfully, unlike the hour I spend in his class everday, I understood most of it :D
46 year old engineer here helping my 17 year old daughter with her math. Thanks once again for being, apparently, the only guy on YT that understands this stuff well enough to explain it. Huge thanks for providing all the info you need to solve the problems on one video. I never make comments on YT videos, but you sir are awesome!!
Coming from an engineer I'll take that as quite the compliment! Thanks for taking the time to share your appreciation for these videos.
Also, thanks for being an involved parent!
...after 23 years of teaching I don't see that enough:(
Please share this channel with any other parents you know and also your daughters teacher so they can share this free study resource with ALL current and future students, and remind them how important it is to like, subscribe, support the ads and share these free educational channel you find helpful because that's how we remain free...BAM!!!
In my day the saying went..."Time flies when you're having FUN!"
And THANK YOU for watching, liking, the nice comment and supporting by subscribing...please help my channel growth by sharing with your friends too:D
I noticed there was a bit of a pause on that one...sometimes I even have to do a few retakes just so I can make sure you viewers out there are awake and ready to learn:))
Thanks for your continued support!
You are so welcome!!! And THANK YOU for supporting by subscribing....please continue to help my channel groW by sharing your experience and my channel with others:D...and keep watching and learning:)
I don't normally make comments on RUclips but I just want to say thank you for all your videos! I passed college algebra and triginometry because of your channel. I am now taking pre calculus and I'm still watching your videos. I wish I had you as my professor. All the ones I have had suck! Anyways, keep up the good work! I hope I get good at math as you are one day.
+Alex Procel thanks for taking the time to "thank the teacher" and sharing your successes with us! (at least I can be your RUclips teacher:) and we greatly appreciate the continued support!
Please remember to like, subscribe, support the ads, share thru social medias and with all your friends and classmates to support free educational channels like mine so they will remain free:D
Thank you for liking my videos and I look forward to having someone so enthusiastic as my RUclips student!
For that particular example yes...I am just showing the process that should help with any rational function (as long as the numerator and denominators are polynomials) :) Thank you for watching. Sorry it took so long to reply.
You are very welcome. Please help to support my efforts by spreading the word about my new channel and supporting the ads:) I hope you do great in your studies!
Thank you for watching. I am glad you found my video so helpful:) I hope you find more!!!
I'm taking summer school to get ahead and have the worst precalc teacher and it's his first year teaching. I've started watching your videos and now everything makes soooo much sense. Thank you soo much!
You are soooo welcome Christian D. glad it was so helpful!
Sounds like you should share my channel with your new teacher...suggest that he share the channel as an additional study reference with all his students:) Most teachers appreciate any type of additional studying from their students in order to learn more. And share it with your friends too:D I really appreciate all the support and sharing, that's how I groW!
Thank you:) I appreciate you watching and the kind words.
Where are you here from? I am honored that you chose my channel to learn from and excited to hear that you are able to understand all my english...next thing you know you will be yelling BAM!! out loud in class when you get an answer correct:)
Thanks for the kind words and for subscribing. Please be sure to tell the rest of your class where to find me:D
Thank you:) As long as I have subscribers who watch and spread the word...I will be making more videos!
:) Thanks for watching and the kind words. I hope you do great in your class:)
THANK YOU...and thanks for watching and subscribing! Don't forget to spread the word:D
And awake too I hope...if so, my goal has once again been met:) Thank you for your support and be sure to share with all your friends if you find my channel helpful...Happy Thanksgiving break:))..gobble, gobble!
I've been studying in America as an exchange student for two months (I'm gonna stay here for a school year), and I'm taking pre-calculus. Your videos are AMAZING. You are the best math teacher I've ever seen. I wish you were my teacher! I learnt how to sketch a graph of rational funtcion.
PS. As I said, I'm an exchange student and my English level is not so good. But I understood every single word that you used in this video. Oh, my God. THANKS!!
Closed Captions have been added to Graphing Rational Functions Part 1
Thank you for adding CC! This really helps because I am hard of hearing and have a hard time listening to other videos...
TheOrangeJuiceProgrammer you're welcome. Good to know it's helping.
I only have the top 30 or so done so far...it's a very time consuming project (which I already don't have much extra of:(
...so I'm looking for ways to get them CC faster...maybe looking for some grant money to hire a transcriber to do them all since CC also can be translated thru google into many different languages as well:)
+ProfRobBob You might want to try a go fund me or something similar. I'm sure there are plenty of people out there who would love to help an individual who is making math so simple.
+Thedock Leesmile thanks, we'll think about that! My wife keeps hoping some company will volunteer to do the rest of them as a form of donation...we're just exploring all areas and ideas now.
I'm taking a break from doing them on my own for now...it's sooooo time consuming and I want to make more videos. Teaching full time doesn't leave much free time as it is:(
Thank you very much for choosing my channel to learn from and good luck on that entrance exam...go into that classroom with the new found confidence you have and pass that exam like BAM!!!
That's awesome news...the world sure can use more teachers who have a passion to teach! In case you never heard the quote: "Choose a job you love and you will never have to work a day in your life"...Confucius
Good luck on your test and let me know how you do!
And thank you so very much for watching them! Please share with with your friends:D
Thank you for watching. I am glad you found them helpful:)
Yep, I'v been watching you since I was 21. You've been a great help all of these years.
Thanks for all those years of support and best of luck with your english career! If you love what you do, you'll never really feel like it's a job...BAM!!!
you are my go to guy! Don't ever be discouraged from making these videos they are profoundly helpful! thank you so much prof!
Your videos follow the pedagogical standards of an excellent instructor. One particular positive is your use of a clear and understandable sequence of steps. Another is the way you talk through your thoughts, e.g. why a certain variable equals a particular constant. A sparkle of being just like the rest of us when you wonder what you just said or what you almost forgot makes me smile. Thank you for all your efforts to help math students online.
How eloquently you write Karen Ketchum thanks you for taking the time to share the compliments and "Thank" the teacher!
Please keep sharing my channel, remind them to like, subscribe, support the ads, like on Facebook, share thru social medias and with others...these are all the things that help these free educational channels groW and remain free...BAM!!!
You're honestly the man. I don't know how to thank you. You should be getting paid for this. Much love from Oregon! Great teacher!
My payment is knowing that I'm helping students like you succeed...and we do appreciate the sub too!
Thank you from Florida...please spread the word and make this the "go-to" math channel in Oregon...BAM!!!
Put your equation into exponential form first and solve for x and then make a t-table by choosing y values and solving for each x. Subtract 4 from both sides, make both sides an exponent of two to cancel the log base 2, add 2 to both sides and divide by 5 to isolate the x.
I'm sorry to hear you are having so much trouble in class but happy to hear that my videos are helping you. We teachers all have our own unique teaching style and sometimes it just takes hearing it taught a different way can make all the difference. Maybe you could start a study group with some other classmates and watch my videos together and then problem solve together...give it a try, it has worked for other viewers of mine:) Thanks for watching and choosing my videos to learn from!
THANK YOU. This is the _one_ video I actually understood. Major props.
Thank you for the positive feedback. I hope you continue to find help in my videos...and good luck in your class:) I don't know about your teacher though!!!
Prof Rob, you are my hero!!! I passed college algebra with an A because of your amazing videos. Please keep posting videos, they are very helpful. Thank you
+Freyes190 You're welcome and thanks for choosing my channel to take the time to learn from and sub to!
...and a giant BAM!!! and CONGRATULATIONS on that "A"
Thank you for the positive feedback...and having the self motivation to search out extra videos to help you learn your math:) Please help me by spreading the word about my new math channel. Keep up the good work!
Thank you for you kind words...and watching:)
Thank you for watching:) Glad I could help.
Yes and NO...I was doing a time check. This was one of my early videos, when I only had a 15 minute window of video time! (but all videos were shot AFTER SCHOOL hours!) Nice catch though...shows you were really paying attention and all teachers like that:D
I don't know how many of your videos I have already watched for my entrance exam into Calculus, but thank you very much for being such a great teacher.
We don't have a class called Advanced Functions…but we use textbooks written by Blitzer for Analysis of Functions and another of his books for PreCalculus.
your videos are amazing! I go from understanding nothing in my 1 hour pre calc class to completly understanding it through your videos! thank you so much...
THANKS Sabrina!
Sounds like the perfect time to share my channel with your class and teacher so ALL current and future students can benefit from the free after class study reference...BAM!!!
Prof Rob Bob is a nickname my wife's friend gave me while I was still in college...I am not a professor but have taught math at the same high school for 18 years and when I started my youtube channel that was the first name that came to mind:) Thanks for your wonderful comment...and I hope you continue to enjoy watching and learning from my videos because I would be so proud to be a part of helping you find "your" passion for teaching! Keep me posted:)
This man is the reason I am getting a A- in Pre-Calc.
Thank you Mr. Tarrou!
+Zaman Surahyo teamwork...after all, you took the time to study...BAM!!!
Please take the time to sub, like and share my channel and that awesome news with everyone:D
I like it when my viewers are excited...you are so welcome! And thank you for watching and sharing my channel:D
I'll take that B...for BAM!!!
Thanks for choosing my channel to subscribe to and learn from...I'm happy to hear that those two choices helped you to get that B! Keep up the hard work and great study habits...those attributes are the things that will get far in life. Thanks for taking the time to share with me and keep it up...I'll be here with more videos:)
:D I am glad you like and found my video so helpful!!! I hope you do great in your math class. How do you make the infinity symbol in your comment?
You are really good. It's all clear to me now thanks! Why can't my teacher explain this
well and straight to the point.
My wife scours the thrift stores for one of a kind RUclips appropriate shirts, we made some thru Vistaprint, have received a few math related from students and I made the pumpkin pi one for my halloween costume 2 years ago:) Thanks for noticing and watching!
@amal12goalkeeper You are very welcome. Thank you for watching:)
Professor RobBob, thank you for a another well organized and refine video/lecture on Graphing Rational Functions Part One. All the tools that students learn about graphing is in full use. Graphing can also be checked or done by the Graphing Calculator.
You're really fun to watch! Thanks for being so in depth, you rock!
Thanks for watching and learning Gingerbread Girl !
Please like, SUBSCRIBE and share my channel to help me groW and help others find out that math CAN be fun:D
You're a better instructor than my professor. On the night before my test (what a surprise, procrastination ftl) Im pretty sure you just saved me a good grade. Thanks a bunch.
You're welcome a bunch David Rodriguez and thanks for watching, learning, liking and subbing...I hope you go into class with your new found confidence and pass that test like BAM!!!
your videos are helping me for years now. now im in 11th grade, thank you so much, i understand it more with your vids than my teachers. youre amazing :))
Thanks for being such a loyal viewer! I hope you are sharing this channel and your experience with everyone in your classes along the way, especially your teachers...BAM!!!
@DotingDiamond Thanks...I do teach Precalculus...so I may be working through this a small step above the difficulty of Algebra 2. I have over 200 videos to choose from so far:) I hope some more of them can be helpful to you!
Your videos are keeping me alive this semester, thank you!
:D I LOVE YOU TOO! Thanks for watching. I am glad I can help.
Dude, you're awesome. You helped me a lot with the Proofs and Trig and thanks to you I wound up with a B in my college algebra and trig class, which I never thought was possible. Keep them coming.
I always recommend your videos to my Algebra 2 & Pre-Calculus students! Thank you!!!! I was thankful to have them when I needed to brush up on my trig last school year!
You're welcome Melissa Krimmel and THANK YOU for recommending my videos to your students! It's always nice to have the support of a fellow teacher and know that you are taking advantage of the passion and hard work that goes into growing this channel while teaching full-time! If you'd like to further support, please remind them to like, subscribe, support the ads, and share my channel with their friends...that is the kind of support that helps these free educational channels groW, stay FREE, and continue to help others...BAM!!!
You are a really great teacher. I didn't even notice ten minuted had passed after your video was over. Thank you for your help!
ever since i started watching your videos, i've started hearing your BAM!! in my head every time i solve a problem. you're the best! thank you so much for what you do. (:
This video has taught me much better than my teacher could, and she had at least 30 minutes. Well done, and thank you!
You're welcome...thanks for learning!
Thank you very much. I´m a Spanish Math Student, and your videos help me alot.
I've been struggling so much with this in my college trig class. you make it so simple! thanks profrobbob
Look, another comment means you are watching more videos...I hope you will continue to make me your "go to" math channel to learn from:)...and don't forget to spread the word:D
Thank you please keep making videos it helps a lot of people!!! You and your channel are a life saver
THANKS for watching and supporting...please sub and share to help us keep growing too!
The new videos will few this year with my new teaching position but I hope to be able to add a new one at least once a month.
Awesome instruction! Thanks! You accomplished in 9minutes what my textbook couldn't in 9pages...
Best teacher ever man I wish you could teach me, so full of energy and I actually learn things!
+Mike Berglund thanks for watching and learning and subbing from this channel!
prettiest handwriting I've ever seen
Thanks Callie Moerschell if you need a break from learning math I have a couple videos teaching my cursive style...BAM!!!
Don't forget to like, sub and spread the word :D
THANKS...my wife says it's one of my many talents:) And THANKS for choosing Tarrou's Chalk Talk to learn from!
you explained it sooo fluently and easily!!! THANK YOU!!!!
I dont comment on Math videos but this is worth it. You did a good job more than others. Just what I was looking for.
I feel so special:)
Thanks for watching and taking the time to comment and "thank the teacher"....it's always good to be reminded that all this effort continues to help students learn when they take the time to seek outside help like you did...BAM!!!
Really fantastic. Method of finding asymptotes in details will enrich this topic.
awesome..awesome representation. heartiest thanks.
You're very much welcome letter box !
Heartiest thanks for choosing my channel to watch and learn from too:)
:)...thanks for putting a smile on my face!
You are an awesome teacher!!! :D I had a lot of trouble with this and now i finally understand it!!! Thank you so much!!
Thanks a ton.. Have absolutely no doubts about the problem in my mind now.. Very well explained..
Thanks for learning!
AWESOME!
There is so many steps involved I am a little surprised you are not allowed to use a basic function calculator. It is the weekend, take an hour break and let your hand rest:)
My teacher uses sign charts but I like your method much better. Thanks for the help
Thank you very much. I will have to take some physics classes myself to be able to do those videos...but that might happen eventually:)
Perfect! Thank you so much, I love your videos they have really helped me so much! You're a lifesaver!
Awesome, I followed your directions to your home page. Now Sir I have arrived to MATH UTOPIA!!!!! thanks
Knowledge is power :)
LOL
You're welcome Thomas Ratliff !
Thanks for all the support.
...you are sharing with all your classmates and friends aren't you?!
...and reminding them how important it is to Like, Share, SUBSCRIBE, support the ads, Like us on Facebook, Twitter, Google+ and share with THEIR friends and tell them to do the same...BAM!!!
That's how all of these free educational channels stay free and helpful to others and how we continue to groW!
(I'm done now:)
Just wait till you actually find yourself saying it "OUT LOUD"...lol
Thanks for putting a smile on my face this morning:)...and thanks for choosing my channel to learn from!
Now please "SHARE" and "SUBSCRIBE"!!! (it's important to my channel growth:)
Thank you...if you get board over the summer, you can watch my cursive calligraphy video and teach yourself:)
By the time you read this I hope you went in and passed that exam like BAM!!!
I hope you will choose Tarrou's Chalk Talk for your future RUclips math help:)
thx God !! finally, I found the best teacher in the world :D thank you sir
You're welcome and thanks for the compliment...BAM!!!
Please spread the word and subscribe:D
thank you very much sir tarrou, you made math easy for us. God bless
You're welcome and THANKS for choosing Tarrou's Chalk Talk to learn from!
Great video!!! It explains the steps of drawing a rational function really clearly.
Just out of curiosity, wouldn't dividing the function through and then draw the graph be easier? After division, the function would be just (1 / (x - 3)) + 1, which is a regular rectangular hyperbola with a simple translation.
@MrDJKaram Thank you:)
this guy is the answer to my prayers! thank you god!
Merci encore!! I really like th way how y teach m . It brings my memory back t my coutry. Studying on a chalkboard for th whole night trying to find the value of "X" knowledge is power and we are th slaves of knowledge.
I can see by your comments that you have been busy watching and learning Alpha Jalloh and I want to thank you for your support and agree that knowledge is power...may I ask where you are from?
Please keep sharing my channel and your experience with others so this channel will continue to groW and help others discover the knowledge that is right at their fingertips...BAM!!!
Thanks a lot ProfRobBob!! I have totally understood!!!
+Clive Siame you're welcome.
Thanks for studying with Tarrou's Chalk Talk...please take the time to like, subscribe and share this free educational channel with everyone...BAM!!!
This is what I needed!! Thank you so much for sharing your knowledge with us!
Why THANK YOU!!! I am glad I could help:)
You are welcome. My pleasure:)
dude, you handwrtting is so pretty. Lol
I have lessons teaching my cursive style too...BAM!!!
Mangg
I like your teaching...and your handwriting!
Thanks for watching and learning!
Truly helpful in understanding how to graph rational functions! Thank you! :)
You're welcome and thanks for watching and learning from #ProfRobBob TheOrangeJuiceProgrammer !
Thank you, I will!!!
you are the best!!! i hope you are getting money from your ads to buy yourself nice things!!!
Thank you for creating videos like this, it helps so much for a student like me! thank you sir 😊
Thank you so much! In my Alg2 class I don't get anything. He has horrible handwriting and I sit in the back of the class, most of the time I can't see at all. He is said to be a genius, but he does not care if we get it or not. All the kids are afraid to ask questions because he always treats them like they are idiots for not getting it. He just taught us this and yet everything in this video was new to me. Thankfully, unlike the hour I spend in his class everday, I understood most of it :D
Thanks for making these. They help me alot.
Thanks for watching, learning and subbing too!
Thank you! Your videos are AMAZING! They've helped me out a lot.
You're welcome...thanks for watching and subbing!