Function vs Relation

[@khayum009]

It took 5 days for me to complete all 159 videos in the pre-Calculas playlist. I would like to thank Mr. Tarrou for helping me to go through these things. Loved the way u teach the Math. Ur the best Math tutor I've come across period. "Go do your homework. BAM "

[@profrobbob]

...and sadly it's taken me 6 months to reply to your wonderful compliment:( Sorry it took so long but we hope this finds you well and still fining my videos helpful...BAM!!! ...if so, please keep sharing this channel with everyone:D

[@aashsyed1277]

162 videos

[@keypo790]

Woah, nice 0_0

[@profrobbob]

It is so cool having viewers in Australia and around the world!!! Thanks so much for watching:)

[@annasilva5649]

I just wanted to say Thank you. I got an A- in my Statistics class today and a 93 on my final. My class average was a 70 before watching your videos. I cant Thank you enough for what you do for students everywhere who are struggling. Thank you for taking the time to help us!

[@profrobbob]

BAM!!! That's the kind of news I love to hear!!! See how AWESOME it feels to take the time to find extra help outside the classroom, put in some extra study time and then see that grade change right before your eyes?! CONGRATULATIONS Anna for making that happen and allowing me to be a part of it! Students like you are why my wife and I continue to work so hard to get the word out and groW my channel…so other students like you have the opportunity to get FREE math help 24/7.

[@sametito5985]

go ahead

[@abdallahneymar8615]

​@@profrobbob please does this playlist contain everything under precalculus please because I find your channel very good

[@montserratmayavila3904]

I'm Mexican, and I didn't find enought information in spanish for funtions and relations. It made me freak me out, but I found this video and you don't know how this video helped me to understand the topic. Thanks.

[@profrobbob]

You're welcome and thank you for choosing this channel to study with and I'm so happy to hear that you found it so helpful! Thanks for taking the time to "thank the teacher" !

[@loveizlovewewin4843]

Now I am a senior graduating this semester with a Bachelor of Science in Computer Information Systems. I started off college 5 years ago in a brand new language for me since I am from a non-English speaking country. It was very hard for me to follow through in class and I remember I made a grade of C in ALL the 4 classes I took my very first semester. I am so glad I found this channel when I had to take Calculus! I went from making a C in Pre-Calculus to passing Calculus I with an A+ ! All thanks to your videos as you are so fun, clear, engaging and most importantly, I could re-watch if I did not understand something you had said (language barrier here again). I just recommended your channel to a friend who is also starting college. Not sure if you will read this, but THANK YOU!!!! This is such an amazing work you did with this channel!

[@alexcia5145]

Your handwriting is soo freaking beautiful. It could literally be a font on Microsoft Word

[@profrobbob]

Well THANK YOU for that compliment Alexcia...that would be awesome, huh?! If you need a break from math I even had a few cursive lessons tom practice with too:)

[@doodelay]

Hey lex, do you have an Instagram by any chance? I'll follow you :)

[@ansar4674]

@@doodelay bro you are😂😂😂

[@spooky_trashcan]

I’m so glad you’ve made all of these. Favorite math teacher, hands down.

[@profrobbob]

And I'm glad you're watching them ! Thumbs up and please sub and share this channel with everyone...BAM!!!

[@aives7614]

I'm actually a biology student but I always wanted to be a physicist/Mathematician and this is really helping me A BIG SHOUT OUT TO YOU PROFESSOR!

[@profrobbob]

THANKS for tuning in and the giant shout out...math certainly helps in biology too:)

[@profrobbob]

And THANK YOU so much for that very complimentary comment:) I hope by the time you finish your lessons with me that I will have returned to you the fun that math can be while learning! And with the help of my viewers I hope to be making and sharing these videos for years to come...thank goodness math never goes out of style!

[@kalimaandrew8777]

You are the ever best lecture i have ever come across

[@profrobbob]

BAM!!! ...and thanks for watching! Spread the word too please:D

[@redcentredoggies]

A truly 'natural' Teacher. Your classroom students are very fortunate (even if they are yet to realise it!). Im fortunate to now be in your 'online' class. Thanks mate...

[@profrobbob]

redcentredoggies You're welcome and thanks for watching, learning, liking, subbing and the nice compliments! Students like you make up for the ones who don't...WELCOME to my "class"! Are you Australian or European? Please spread the word to help us keep growing:D

[@redcentredoggies]

ProfRobBob Darwin, Australia. Consider the word being spread...

[@profrobbob]

redcentredoggies THANKS...I'll be sure to look for growth in viewership on the analytics map...BAM!!!

[@sithumisandeera6179]

I am from Sri Lanka. Thank you for this playlist. helped me so much

[@profrobbob]

You're very welcome!

[@profrobbob]

My next #math lesson with Closed Captions.

[@ankitajha1364]

+ProfRobBob what an extraordinary teacher u r !!!!! awesome !!!

[@profrobbob]

THANK YOU! ...and thanks for choosing my channel to watch and learn from...BAM!!!

[@robertjones1704]

I am a student of psychology, specifically political psychology involving sensation and perception, and you wouldn't believe how great your teaching is! My goodness! I am the last person to ask about math. It is not anything I'm "great" at. I also have dyscalculia. This video and many others, have inspired me to draw up models pertaining to the depth of social perception in general. I just need to thank you, and I wish you could understand the breadth of my gratitude. Subbed & thumbs upped! I wish you well and please, carry on with this gift of yours.

[@profrobbob]

Sorry it took so long to reply to your very complimentary comment:( Life just get's crazy! I'm always happy to hear when my lessons help a student so much...students like you are the reason we continue to work so hard to keep this channel growing! As long as I have new subscribers I will continue to add content to my channel, so please keep spreading the word so I can hopefully inspire others like you:D I've been teaching over 20 years and still love it...and youtube teaching just takes it a step further...BAM!!!

[@teejeyvasquez4895]

I had a motorcycle accident last Saturday and I can't walk until my wounds heal. And by this, I can't attend my classes. My classmates update me with the lessons of different subjects. And when I started reading about Functions and Relations in my textbook, I just didn't understand a thing!!! Or until I found this video. Just wanted to say that this video really helped me to understand this topic. Really helpful, informative and fun too!! I would recommend this video to my friends who don't understand Functions and Relations. I like the shirt too!! Subscribed! =)

[@profrobbob]

So sorry to hear about your accident TeeJey Vasquez ...and I wish you a speedy, complete recovery! Thanks for taking the time to find #ProfRobBob to watch and learn from...I hope my channel can continue to help you through your recovery and beyond! I appreciate all the support and look forward to inspiring you and your friends to enjoy learning math:)...there are plenty more funny shirts and math humor in future videos too!

[@KateInTheCity]

I've never seen a mathematician with such great writing :)

[@profrobbob]

+Kate Polka thanks for noticing:)

[@portersedge]

I'm sure that many students are very grateful for your effort and hard work needed to make these videos. I have 3 true/false questions to ask (check my answers). T/F. Every relation is a function (I think it is false) T/F. Every function is a relation (I think it is true) T/F. Every graph is a relation. (I think it is true) A relation is a set of ordered pairs. A function is a rule that assigns every element in the domain a unique element in the range. Thank you so much for these videos

[@shekinahpettway7586]

Mr. Tarrou! Your videos are extremely helpful! This summer I took a PreCalculus crash course for a months time with a total of 6 students, 3 of whom dropped out. However, I stuck it out to the end and was able to receive an average of an A- thanks to your numerous videos! They are truly a great help! Thank you again!

[@YES-oo8jd]

Right now I'm coursing the third semester of civil engineering. These videos are really helpful for me while reviiting some of the previous topics we had in Algebra, so thank you so much and keep up the fantastic world you are doing!

[@profrobbob]

Thanks for choosing this channel to study with..good to hear you are find the lessons helpful and please don't forget to sub and share this helpful channel with your professors so other self motivated students like you know where to find free study help...BAM!!!

[@khaotik.weirdo]

I love your charisma and flawless explanations, teacher. Regards from Chile!

[@profrobbob]

Greetings from Florida and THANKS for watching! Please sub and share this channel with everyone:D

[@profrobbob]

You're welcome! I'm currently adding to my Calc library since I will be teaching AP Calc this year in the classroom for the first time:) Thanks for watching and supporting by liking and subscribing!

[@michaelkindle3391]

Dude, you are the best, I am taking pre-calculus right now and my teacher sucks, but you are awesome. She was offended when I told her that she just gives me the lesson plan, but I learn the curriculum from you!!!!!!!!

[@profrobbob]

+michael kindle sorry to hear that:( As a teacher for 20 years I'm just glad to hear when a student cares enough about their grade to take the initiative and time to learn any way they can! I'm happy to hear that you are finding my lessons so helpful...please take the time to like, subscribe, share your experience and this free educational channel with everyone looking for free math help to keep us growing:D

[@julianm4517]

thank god for this channel, my pre-cal teacher barely speaks english and can hardly write to make matters worst and somehow that qualifies him to teach a complex subject...

[@profrobbob]

With you working hard we will get through this together:) Here are my PreCalc lessons organized by topic, www.profrobbob.com/pre-calculus You can help me by spreading the word about my math channel!!!

[@profrobbob]

Thank you for the kind words and your support. Unfortunately, I don't know of any physics math channels to suggest. I hope you find the help that you need. I am glad I could help with the pure math side:)

[@rz3635]

Such a clear and precise way of teaching! Thank you for the details!

[@bcoll1082]

Let the studying and practice begin. Precalc final on Wed. I have a lot of material to cover, but thanks to you and your videos Mr. Tarrou, I find it so much easier to grasp and understand the material. I just need to repeatedly do my assignments for it all to stick. I don't have a great short term memory.

[@profrobbob]

Repetition and practice, practice practice is the key...I hope you passed that final like BAM!!! ...since it's now Thursday:(

[@profrobbob]

You can take the 3rd root of a negative number or any odd root for that matter, it is only the even roots where we have to be careful. Yes, it is still a function:) Thank you very much for watching!

[@profrobbob]

I have only been doing KZbin videos for a year now and I have already taught many more people here than in my 17 years in a classroom only. So hopefully I am spoiling way more people than just my students;D Thank you very much for watching and the nice comments.

[@profrobbob]

THANKS for the observation and compliment and for taking the time to watch my channel!

[@Charlotte_84]

I have to say the penmanship on the board is FANTASTIC!

[@user-mr1lr5ty3x]

Absolutely love his handwriting

[@aramforever1264]

Thank you very much, I can tell you are better than all of my math teachers I have had so far !

[@profrobbob]

You're welcome Rozeen Aram Thanks for watching and I hope you will take the time to like, SUBSCRIBE & share channel with all your friends, class and teachers:D

[@bertbertalberto1417]

i dont understand why this doesnt have more views , this guy is so good at explaining concepts. ive come out of this video with a better understanding of functions and relations; further more his other videos

[@SalvadorSTMZ]

Hey Mr. Rob. I appreciate you taking this time to make this video! Im currently a freshman at Cross Keys High School trying to prep for my class next year! Thanks for the help!

[@profrobbob]

Welcome to Tarrou's Chalk Talk John Trollinski and I will be looking forward to teaching such a self-motivated student from Atlanta! I hope together we can make Tarrou's Chalk Talk the go-to channel for FREE math help at Cross Keys High School...BAM!!! It's not often I hear a student is watching my channel to "prep" for a class they are not even taking yet...your comment and appreciation just put a smile on this teachers face today :)

[@teejeyvasquez4895]

Oh, and I would also recommend this to all my friends in my school. I'm a student from the Philippines.

[@profrobbob]

THANKS again for sharing and watching TeeJey Vasquez ! The Philippines is my second largest subscriber base. I just had a Skype call and met two classes of students from Ateneo University who are learning from my videos...I still can't believe that I'm teaching student all over the world from a small room in Florida...BAM!!!

[@Shivxngee]

I can't thank you enough sir! I have faced issued with relations and functions since the start of eleventh grade..and nobody could properly explain it to me. Until now. Thanks a ton. Shivangi New Delhi, India

[@abdallahmahmoud8642]

Thats right , He is so good !

[@profrobbob]

You're welcome a ton! Thanks for liking and subbing and studying with #ProfRobBob ! Thanks for taking the time to seek additional help and being such an awesome student Shivangi Singh I will look forward to teaching you math all the way in India from my little back room in Florida...BAM!!!

[@profrobbob]

Tito Rat THANKS!

[@profrobbob]

This playlist contains all the topics I teach in my PreCalculus class and is in the order I teach them. There are a few sections in my book I don't teach. Getting prepared ahead of time is awesome, I wish more of my kids were like you!!! Thank you for watching and subscribing. Your support means a lot:)

[@profrobbob]

You're welcome. That's AWESOME news about your grade...thanks for including me in the celebration! I'm glad I could be there to fill in the missing pieces. Thanks for seeking out the extra help and sticking to it...that's a great attribute to hold on to:) Maybe you could share your story and my channel info with your teacher so others could benefit from additional FREE tutoring 24/7 like you did...if everyone tried a little more to help others succeed at life it would be a much happier place!

[@profrobbob]

You're welcome! Thanks for liking and please spread the word:D

[@thehomeless5655]

Best teacher ever.. Omg... Math has never been so much fun

[@profrobbob]

+TheHomeless thanks for making my day! Please take the time to subscribe and share your excitement and this free educational channel with everyone to help us keep growing and helping others learn and enjoy math at the same time:D THANKS!

[@srividyakommu6181]

Thank you very much. Video was very helpful. The best math teacher I have ever seen. Srividya(Hyderabad, India)

[@ansar4674]

21:36 that same jumpscare came to me too

[@profrobbob]

BAM!!!

[@srishtiyadav3745]

I'm from India and I'm preparing for competitive exam Your videos are really very helpful to understand from the scratch!!! Thanks alot,❤️

[@profrobbob]

You're welcome form Florida and THANKS for choosing this channel to watch and learn from! Please take the time to like, subscribe and share this channel with everyone...BAM!!!

[@stevehawk2025]

You, sir, just earned yourself a subscriber.

[@profrobbob]

+Steve Hawk AWESOME...only 1,690 more to reach 100,000 so start spreading the word:D Share thru all your forms social media, with friends, classmates and teachers...tell them to watch and SUBSCRIBE to help this free educational channel keep growing and remain free for everyone...BAM!!!

[@stevehawk2025]

+ProfRobBob I will! I found this video because my 9th grade teacher was showing it to us at the end of class but we didn't get to finish it so I came back and found it. :)

[@profrobbob]

+Steve Hawk please thank your teacher for me and please educate your teacher on the importance of liking, subbing and supporting the ads on these free educational channels too, so they will THAN remind their students to do the same:D THANKS for your help:)

[@stevehawk2025]

+ProfRobBob you're welcome sir.

[@profrobbob]

+Steve Hawk :)

[@Tictactoe12345-g]

Really this lecture is so simple and yet gives the best understanding

[@profrobbob]

@@Tictactoe12345-g Thank you for the great feedback... and watching.

[@profrobbob]

This video applies to any math class all the way back to algebra 1 or any time the definition of functions and relations are taught. I have never seen the Clep test so I can't really answer that question specifically. I hope you do great on your test:)

[@profrobbob]

You're welcome...And THANKS for the show of support by liking and subscribing too!

[@profrobbob]

And thank you for that observation and for watching!

[@ChristianRoland7]

You and Professor Leonard are going to help me succeed in my dream to get my degree in CompSci!!! I used to be so bad at math throughout grade school. So I did what the stereotypical college dropout did and joined the military, not believing in the power of my brain. I got out with the GI Bill and decided to go back to school. I stumbled upon you and Professor Leonard, and you two have made love math for the first time in my life. Math is beautiful and fun now! Thank you for all you do and you have earned a new sub!!! PS I will recommend this to my friends :)

[@profrobbob]

Thank you very much for serving our country and protecting our freedom. I am so very glad you are finding a love of math through hard work and the assistance of my math lessons and Professor Leanard's. I went into teaching because I enjoyed helping others learn and with the power of KZbin I can share my teaching outside the four walls of my classroom. You are older and more mature now, so you will definitely get more out of college than you would have at 18. I know the math that I teach now much better than when I was in school. I have no doubt you are going to achieve any goal that you set for yourself:) BAM!!!

[@osyrisking5437]

vote this man for teacher of everyone and thing related to math.

[@profrobbob]

+Osyris King thanks! You can start by sharing my channel with EVERYONE and remind them to like, sub, support the ads, share thru social medias and with all their friends and help us reach that 100,000 subscriber mark before the end of the year...BAM!!!

[@06100423188]

Your videos are so much more interesting than reading from a math textbook! Thank you for making them!

[@zackisser2451]

Great work , I want to say thank you on behalf of myself and everyone watching your works . keep it up

[@profrobbob]

+Zakarya ISSER you're welcome, thanks for watching, subbing and taking the time to thank the teacher...now please tell all your friends, classmates and teachers to watch and do the same...BAM!!!

[@georgesadler7830]

Professor RobBob, thank you for explaining the difference between a Function versus a Relation in Precalculus. The graphs and functions are very helpful for understanding this material.

[@TevinxD]

You're aiding humanity, keep it up, thanks for all your post.

[@profrobbob]

You're welcome…thanks for watching, supporting and subscribing!

[@profrobbob]

I teach from Blitzer PreCalculus. But I know that many of the Precalculus books follow about the same sequence of topics. I hope your year is better than you are expecting:) I wish all of my students were as motivated as you to work ahead before school even starts.

[@leedok8720]

My teacher didnt even tell us about relation and gave us a homework about relation. Thank you so much for helping me!!

[@profrobbob]

Thank you for taking the time to find this channel and study with us! Don't forget to sub and share this channel with everyone...and it sounds like the perfect time to share to with your teacher too...BAM!!!

[@8Baller1000]

Just came to say thank you, I finished my final today and I'm done with Math even though I don't want to be but It's gonna get to hard from here. Don't think I do so well but that's because the final was nothing compared to the material we learned in class. But youre videos definitely helped me for my assignments n midterms! Thank you Mr.T!

[@profrobbob]

+8Baller1000 you're welcome and I hope you did better than you think and sorry to hear we have reached the end of our math journey together...but we wish you the best life has in store for you! Keep up the great study habits and you can do anything you set your mind to:)

[@TheTaco3rd]

Your videos helped me through my physics and pre-calc courses. Looking forward to using them for calculus. Thanks for this!

[@profrobbob]

You're welcome Thomas O'Neal and thanks for taking time away from fishing to "catch" some math lessons from #ProfRobBob ...lol Really, thanks for all the support and I hope you are telling all your friend/classmates along the way to watch, like, subscribe and share:D

Pls do more videos.. I wish there are more profs like you.. I am a new secondary mathematics teacher and one of the challenges (which is essential to our profession) is how to make students understand mathematical concepts.. I am having a hard time explaining it to them and I consulted a lot of textbooks which just intimidated my students.. Your approach is simple and fantastic.. More powers Prof.Robrob!

[@profrobbob]

Thank you very much for your kind words. I wish you all the best and great success in your new career. Teaching can be a difficult and very rewarding experience:) I have been teaching now for 20 years and I love it still. If you notice times that there are now new math lessons, like now, that is because I have been busy Close Captioning my lessons. facebook.com/profrobbob If you have not found it yet, I have a web page with my math lessons organized by topic www.profrobbob.com

[@profrobbob]

You're welcome and Thanks for subscribing!

[@danimoosakhan]

i'd give u 5 stars. You explain nice and smooth which is so understandable.

[@profrobbob]

Thanks for the 5 star rating Danial Moosa ! Please share your experience and my channel with all your friends and remind them to Like, Share and SUBSCRIBE to help my channel groW and help others:D

[@DwnGoz]

ProfRobBob Only useful math channel on youtube :D

[@profrobbob]

RestrictMania THANKS for the compliment and subscribe:) "SPREAD THE WORD"

[@jamilamini7807]

Best professor i have ever had

[@profrobbob]

Thanks Jamil...must be my math superpowers...lol Thanks for studying and subbing and please spread the word:D

[@jamilamini7807]

ProfRobBob I will tell my friends and classmates they need these tutorials they are very bad in mathematics hahahaha

[@samanthamelton1853]

Thank you so much. I really needed this for an upcoming test and will absolutely share this channel with fellow classmates who are struggling along with me. Thanks again!

[@profrobbob]

You're the best Samantha Melton...go pass that test like BAM!!! Then after you share with all your classmates you can tell your teacher, so your teacher can tell all their other students and fellow teachers where to get after school math help:)...from #ProfRobBob and please remind them to like, SUBSCRIBE, support the ads and the channel to help these free educational channels stay FREE!

[@martinmawalla2395]

My name is jeylover I really like to study maths

[@lilliflower743]

Thanks!Your video helped me a lot! I listened each single word you said, and could understand it all! Thanks for using simple vocabulary and articulating well. I wish I had a teacher like you when I was in high school; the one I had made me hate math and feel stupid. Today, thanks to you, I realized that there is no poor understanding but there is poor explanation. Please keep this beautiful work. Thanks.

[@profrobbob]

You're welcome MrGuess28...Glad you like my teaching style:) I hope you will keep watching and learning and sharing my channel with others! ...And go in and pass that test like BAM!!!

[@profrobbob]

Than you for watching them too! And for supporting by subscribing:)

[@jessicatorres2136]

You're a magnificent teacher! Very clear and easy to understand. Thank you!

[@profrobbob]

Thanks for watching and learning Jessica Torres Please SPREAD THE WORD & SUBSCRIBE:D

[@profrobbob]

You just made me LOL!!!!....nice catch, obviously I didn't think anyone would catch that...but kudos to you, that means you are really paying attention when you are watching my videos...and that is something every teacher likes to see:))

[@profrobbob]

Functions and relations are defined/introduced initially in pre algebra or algebra so kids will be in maybe 8th grade I think and definitely 9th grade. They are reviewed at the beginning of almost every math class after that though in algebra 2, and even in my Precalculus book. Most of my Pre Calc kids are 16 or 17....but it is...or should be a review by then.

[@profrobbob]

All functions are relations but not all relations are functions:) While every graph may be a relation, if it passes the vertical line test we would call the graph a function. Thank you for watching and supporting my efforts:) I am pleased you find my videos helpful.

[@mymaaaan1540]

your a hero to me and my failing grade

[@profrobbob]

Thanks for taking the time to make the effort to learn from my lessons...that's the kind of motivation that will keep you continue to succeed in bringing those grades up...BAM!!! Keep up the good work and please share this channel with all your friends, classmates and your teacher too:D Thanks!

[@not_potaytoes_hobbit]

Life is so weird, when I was in high school I was a "top student", however I kinda hated math but I was friend with my math teacher, the day that I graduated I told him as a joke-not-really-a-joke "yeah! no more math in my life" and he laughed. Now, five years later, karma has really hit me and here I am, starting a Precalculus marathon because I'll start physics as a career next year! Better watch what you say, people, because karma is always there :D thank you for posting these videos Prof Rob! Greetings from Costa Rica

[@profrobbob]

You're right Jessy...you never know:) Greetings from Florida and thanks for choosing my channel to marathon with! I hope you enjoy your study marathon...and by the time it's over I'm sure you'll be shouting out BAM!!!...lol

[@not_potaytoes_hobbit]

hahahahaha so true and it's worth it :D Thank you and BAM! haha have a wonderful day :D

[@profrobbob]

See, BAM!!! happened already...lol:)

[@not_potaytoes_hobbit]

I'm glad to see that I'm not the only one :D I wish you the best with your scientific life!

[@insising]

That's awesome! Go out there and be a great physicist. I'm going to become a mathematician and then become a Theoretical Quantum Physicist.

[@CJVeloso]

OMG I NEEDED THIS! Thank you so much. I really appreciate it! You sir, have earned yourself a new subscriber! :D

[@profrobbob]

Many of my college professors were like that too and some high school teachers too. For some students I am sure I'm a little boring since I do have a tendency to over-explain things. I am hoping my style of teaching gains me a good following on KZbin...since all math teachers are basically saying the same thing.

[@ryukihagane7211]

I am actually very grateful for this playlist!!

[@joshuaolulana6356]

you make it look so easy

[@zicokohler7756]

To be honest, your shirt helped me stay focused the whole time 😁

[@profrobbob]

...whatever works...BAM!!! Thanks for watching.

[@captainyoosijin7686]

My idol of the year Goes to PROF ROB! More Power to you Master!!

[@profrobbob]

+Engr. Saitama that's AWESOME!!!..I'll take it:)

[@noahd7470]

thanks i learned a lot in ths video i am currently on a online math test and im on the maping diagram questions and i didnt understand them... thankyou for having me understand this you earned a sub :)

[@profrobbob]

You're welcome Noah D ...thanks for choosing my channel to watch, like and sub to and taking the time to find additional help...BAM!!!

[@profrobbob]

If you are taking PreCalculus or College Algebra I love the books written by Blitzer

[@jackiedelapena9493]

Thank you for uploading this, it really helped me alot. Nice handwriting Mr. Rob, keep up the good work! I'm from the Philippines, Salamat po!

[@profrobbob]

My PreCalculus videos are in the same order I teach them through the entire year:) I wish all of my students were like you!!!

[@TorN4YOu15]

You have helped me so much with math! Thank you! You're awesome!

[@bradbland9307]

This guys chalkboard hand writing game is on point

[@profrobbob]

THANKS...and thank whoever taught you cursive:) ...also, thanks for tuning in!

[@flowerbased]

Best math videos!! Helping a lot for my 10 week precal summer class :)

[@profrobbob]

THANKS for watching...please take the time to like, sub and share this free educational channel with everyone:D

[@kaylawalter3631]

You should have a video on understanding function notation!!! Love the vids...definitely spreading the word!

[@profrobbob]

Thanks for watching and the suggestion. I keep a list of requests and add videos as I get the time, I'm starting to work on Algebra 1 videos soon:)

[@america2695]

Thank you for this video! Very helpful and appreciated

[@profrobbob]

You're welcome...thanks for watching and the appreciation...don't forget to like, sub and share this free resource with EVERYONE!!!

[@profrobbob]

And I hope it helped to make your learning experience more enjoyable too:)

[@profrobbob]

I'm glad you enjoyed my video and I hope you will return when you need help in the future:)

[@matoymagasimo3709]

wow everything i can't understand a mathematical equation but i found this video so much thankful cause anytime i should how to solve this kind of situations i can't feel something but now i say wow so much understanding. thanks a lot for information about the differentiate between the range and domain.

[@musaarab8216]

Thank you for helping me in my calculus class.

[@profrobbob]

You're welcome and thanks for taking the time to study! Please sub and share this channel with your classmates and teacher too:D

[@kofiyankey4516]

Thank you so much Mr. Tarrou. I credit you for getting me an A in geometry and I hope I can jump to a higher level of Pre-Calc trough watching your videos.

[@Seraphim_Belisarius]

Wow, what a find. I'm taking an accelerated Pre-Calculus course in the summer and thought I'd get a head start. Thanks Professor.

[@profrobbob]

+Ronsito Platoon you and you're teacher should be proud!

[@khanhtran3446]

Thank you so much :). After I was watching your video, I can tell you that I truly understand all the things that you were teaching. New sub. Thank you again.

[@MinecraftpvpHero]

Thanks a lot, i have an exam tomorrow and I am really glad you helped me.

[@profrobbob]

You're welcome MinecraftpvpHero ...hope you pass that exam like BAM!!! then come back and SUBSCRIBE, like and share with all your classmates and friends!

[@SuperLazyCat]

thanks alot for these videos. trying to get ahead on precal before the semester gets crazy.

[@profrobbob]

You're welcome! And Good for you...please sub and share this free resource with your class and teacher too:)

[@jayapreethi6066]

thanks very much sir...i wanna learn a lot from your videos.. I respect you a lot, sir.thanks. -Jayapreethi(chennai, south India)

[@sachinrajyaguru3700]

JAYAPREETHI really !!?

[@profrobbob]

I am not sure I totally understand your question. You need an x to go along with the y value of -4. Like if the was another coordinate of (5,-4) I would just add a 5 in the x column and a -4 in the y and we would still be mapping a function. If the point (1,-4) was added then the x value of 1 would be mapped to -4 and 4 it we would now have a relation.

[@RoqueMatusIII]

Thanks Mr. Rob I really helped me for my exam. :D

[@profrobbob]

You're welcome Roque Matus ...happy #ProfRobBob could help!

[@profrobbob]

BAM!!!...that's what I like to hear:) And thanks for the show of support by liking and subscribing...please be sure to share with your friends and tell them to do the same and help my channel groW!