Piecewise Functions 

You and Organic Chemistry Tutor are saving me this semester. At my uni, we have to use an online program for learning. I need lectures like this to understand. Thanks so much! (and subscribed!)

But what about that 2nd set of keys found in the bookkeepers office?! Don't leave us hanging man!!

Your face was so funny when you were listening to the announcement about the keys ! But I love your videos , great job and keep making videos !

The Cell Phone analogy was super helpful, thank you.

how come I finish class not knowing what my math teacher was talking about and i watch your videos and I understand it all the sudden

You are my new god. Seriously. If I could get on my knees and throw myself at your feet in thankfulness, I would. My teacher (if she could even be called that) doesn't even give us examples or anything and we literally have to learn from the book. Hopefully with your teachings I can hope to pass my quizzes now. Thank you, thank you, thank you!!

You are my hero in 2 ways. First of all, you've been the first person to actually explain this to me. Second, I FINALLY found my keys!

I have a test tomorrow and I didn't understand the domain and range but now that I watched your video I understand now thank you!

If I stare at your shirt for a long time I can feel my consciousness easing out of my very being, it is being attracted to the thresh hold of space-time, an endless ocean of knowledge and wisdom. I feel bliss as my soul is almost free, but I also feel fear as I delve into the deep unknown. Finally I look away from your retro shirt thinking to myself "Another day when I am ready to toss my consciousness into the unknown I will stare at your shirt and I will be truly free." Your shirt my friend is a gift, and it is also a curse.

My College professor explanation on how to graph a Piecewise function was to just look at it and then he did it himself with no explanation, Thank you for your videos, your honestly my new professor.

I go to office hours and have a friend help me with my college algebra, but having another voice really helps me understand things. Thank you for your help!

Your very welcome. Building this library of videos has been fun so far and I am looking forward to offering a large selection to choose from by the end of this school year. I am glad I could help. Good luck in your class.

Wow! I wish you were my real teacher. You're really easy to understand. Great video! Keep up the good work!

Amazing. Thank you so much. I wish you were my math teacher. You are unlike other mathtubers who briefly go over everything assuming that viewers know it already. You spend your time making sure every detail is explained. Your videos are really helping me with Pre-calculus! :) BAM!

Not to insult any of my teachers, but you're the best I've seen so far. I struggled to understand, what now I see is simple, for 2 weeks. Thank you sir.

You are a lifesaver. I was completely lost when I looked at my homework and saw I had to graph something he didn't teach us how to do. Thank you so much.

I was really struggling with this concept... UNTIL I watched your video and things finally fell into place. Thank you, you have a gift.

Start with looking up my video Visually Identifying Key Characteristics of Graphs. It is the second video in my PreCalculus playlist that you will find on my channel's homepage.

You keep watching, sharing and supporting and I'll keep making videos:)

What am I paying my professor for? BAM! In all of your videos you explain every topic in less than 30 minutes and it makes perfect sense, while my professor spends almost 2 hours to confuse the heck out of everyone. With that much time to spare, I could have my homework turned in by the end of every class if you were my professor ha!

Positive thoughts only are allowed!!!!!..."A"..."A"..."A":) You're prepared and will do GREAT!

First and foremost, God bless you and your marvellous math help videos. I cannot tell you how many tests I've passed purely due to these videos! Also, have you ever been told how remarkably similar you look to Misha Collins? You could be his older brother, it's eerie! Anyway, thanks again for all of these, you are much better at explaining things than my math teacher!

And you Sir, have done it again! Your comments always have a way of making me feel so special and reconfirm that doing all this is making a difference all over the world...THANK YOU my friend!

You are very welcome...thanks for watching and the nice comment:D

Thanks for watching...glad you enjoyed your lesson!

My latest #math video to have Closed Captions added:)

Nice catch, shows you have been paying attention...something us teachers appreciate! This was one of my very early videos before I realized the audience might need some waking up just like my students:)

I wish i have you as my teacher. You are so good!!!

You have nice writing.

Holy shit..... dude. You are really good at explaining, most math teachers dont bother explaining the more "basic"concepts cause they think its given that we know it already. Glad you make sure everything is so thorough! Subscribing now!

You're welcome...and thanks for your support by subscribing!

You are very welcome. Thanks for watching:)

I cannot thank you enough for being such a great professor. My current professor does not know how to explain anything in our course. I would be failing my class if it weren't for your videos. Thank you, and keep up the good work.

You're welcome and thanks for watching!

Your welcome as usual...it's nice to see familiar faces still watching and learning with excitement! Students like you are why I am spending my summer vacation making more videos to add to my library. Did you happen to see me on NBC nightly news with Brian Williams on 7/1/13?

Watched 7 other videos and didn’t get it. Your video made it all click! Thank you!

You are welcome, glad I could clear things up for you! I hope you will continue to choose my channel for future help and please share it with your friends too:D

omg thank you I'm in dual enrollment precal at my highschool and our proffesor is all over the place it seems like he focuses more on jokes and trying to be entertaining than actually teaching you explain things so clearly and make it seem so easy you dont know how helpful you have been please keep making videos I wish you were my proffesor =)

I go to class everyday and get completely dazed and confused. Then I watch your videoS and you really clarify stuff up. I give you and you alone credit for helping me pass my College Algebra class. Thank you!

Hey Prof Rob! Keep doing math videos for those who are in need of your talent. God Speed!

Your welcome. Thanks for watching!

Yesssssss!!!!!! I'm not the best at math but you break everything down so wonderfully. Thank you Prof Rob

These videos have literally gotten me through the last 3 years. Thank you!

Thanks for watching and posting this Vineet and being such a loyal subscriber and student! A reporter from the Tampa Tribune saw the NBC piece and wrote a great article in the Tampa paper last Saturday...I love it when the snowball starts picking up speed:) Thanks again for your support.

Incredibly useful. Thank you so much. Best explanation of piecewise functions on RU-vid. I appreciate what you do.

Thanks man, you saved my grade. You are the best.....

Hilarious when you open and end a video.. but how you explain the problems is even better! I really enjoy when you take the time to apply the problems to the real world - it helps a lot in grasping the concepts. Thanks so much for the tutorials!!!!

I take all my math classes online through ASU and there is no way I would of passed them if it weren't for your videos. I just wanted to say as someone who struggles with math you make it much easier for me to understand. I appreciate all the time you take to help people out! The world needs more teachers like you. :D

You have done it again sir!! In India we have a chant : "Guru Brahma, Guru Vishnu , Guru devo maheshwaraha guru sakshat parabrahma tasmayee shri gurave namah" Meaning : The teacher is like creator as he Generates knowledge within us, like preserver as he Drives ideas and knowledge into our mind unto the right path, and like destroyer as he Destroys the ill-conceived ideas that come from our knowledge, while enlightening us and helping us stay on the right path.Thus he is the ultimate god!!

That is AWESOME news!!! I'm here to bring the "FUN" back into learning math:) Glad to see you are still watching and learning to love PreCalc from my videos...your profile face is easy to remember:)

In making a t-table you can use any values you like, but make sure that what parts are left in your final piecewise graph matches the conditions for each piece of the piecewise function.

OH MY GOD THANK YOU SO MUCH. I have an assignment due this weekend for college algebra and I was struggling with this, even when we briefly went over this in class. This is helping me understanding this a lot.

I am back to college...after a long period of 9 years since high school...and they are making me take lots of math in order to get my Registered Nurse degree...I did not had a clue why they make me take lots of math, but NOW I dont care anymore, I will watch your videos over and over again:) and at the end of the day I will remember that there are always a reason of why things happen...if they did not had me take math, I will never find you:) BAM!

This explanation was muy bueno. Pittsburgh loves your videos.

Thank you for explaining math in ways my teacher cannot. This video is 8 years old but still so helpful. Subscribed!

Sorry....at 2:40 I was trying to say "don't make it a big convoluted MESS" Please consider this my correction:)

Sorry to hear you don't feel you are getting what you need in class. I'm glad you are finding my videos helpful and I hope you do great this year...and not just pass:)

Thanks for watching and subscribing!

I love the way you explain the problems. You are EXCELLENT and I love YA! I really didn't understand until you used the CELL PHONE analogy. Then the bell went off in my head. Thank you SIR!

I would actually pay you for the helping me understanding this stuff. I recommend you and only to all people who have trouble. I can say this on behalf of all of us, we really appreciate the time and effort you do to put this all together :)

So are you for watching and commenting!!!

You are so welcome! Thanks for choosing my channel to watch and learn form:)

I didn't pay attention in my school and was struggling solving piece wise functions. I have an entrance exam next week for engineering university and your video helped me a lot. Real life example was very helpful. I wish you were teaching in Pakistan. Thank you very much for making this lecture

Thant's GREAT...and thank you for supporting and subscribing. I hope this means I can help you alot more:)

You're right, it better not either...my wife and I have put a lot of work into this channel to help it groW! We want to continue to keep our channel FREE and available to everyone who needs it, all over the world and someday to see that "M" next to our subscriber #

I love how you say if your in pre-calculus, and you allow for people in calculus and different classes that piecewise functions are used. I'm in calculus, but I also did them in pre-calculus so for me this video is great! I have an exam tomorrow morning, my first calculus test. I've got my limits pretty much down but I'm in need of some derivative videos!!!!

Professor RobBob ,thank you for an excellent video/lecture on the Introduction to Piecewise Functions. I struggled with Piecewise Functions in the past, however with constant practice, I understand the material from start to finish.

THANKS...that's great news, I appreciate the support!

Thank you:) I think you are awesome for watching!!!

This was really helpful and I understand the pisewise functions!

We're still LOL from your comment:) My wife feels the same...and just think, she's been lucky enough to share all this uniqueness for 23 years! I hope I can continue to educate and entertain you and help you enjoy math.

:) I recently started to brush of my old Calculus skills and making Calc videos. It feels good.

Go to the homepage of my channel and use the search window there. I have combining functions and composition videos that I hope will help. I don't have anything for floor and ceiling functions.

I just love the claps. He is a perfect nerd

Glad you found the help you needed and thanks for subscribing! Keep studying and you will go pass that test next week with ease!

I haven't said this in a couple of years but... "I actually understand everything that was being done!" hopefully I can pass my test tomorrow. Wish you were my teacher, every other video I clicked on was just confusing and didn't help very much because they skipped steps. Now if you had a video for every assignment that would be great, it's kinda like you're my online teacher

I am glad I can help. A lot of effort and studying and I know you will do way better than just passing:D

And THANKS for liking and watching...I just thanked you on your channel page:) I hope you enjoy learning from Tarrou's Chalk Talk!

THANK YOU BIG DAD BOB, you made piece wiaw so much more clear for me

You are a lifesaver to me and all my friends at the uni, thank you so much for posting this.

your one of a legend. you are the only reason im getting a good marks in advanced function thanks

Thank you for making this painfully easier to swallow! i am able to help a few students wuith this refresher. Very thorough and clean.

That's good to hear, thank you for making these videos. The best way for me to learn math is here on RU-vid.

I am so glad I found you, please keep sending us your wonderful videos. You are a lifesaver. Your explanations are clear and easy...THANKS

By the time you read this I hope you aced that Algebra 2 test and had time to subscribe and like more of my videos:)

I have serious respect for this man

This helped me so much oh my gosh. Thank you very much!

Thank you for the compliment! ...don't forget, you are the one that sought out extra help...so together we improved your grade:) Thank you too for your continued support, liking my videos, and choosing my videos to learn from...please continue to share my channel with your friends:D

I have a final tomorrow, one of the subjects is Pievewise functions, thank you for explaining it so perfectly.

I liked the cell phone example! Very good work. Pretty good summarized!

the best real life analogy, i always wondered what is this even used for Thanks!

thank you so much. my teachers is fresh out of the university. I am a junior in pre-ap alg 2 with trig in a class full of mostly sophomores. (I did not fail, I started with algebra freshman year, at another school, the school I'm at now did math placement for freshmen) For the life of me, I could not understand what she was saying . Students who did understand were loud, and disruptive. She would move on when two or three people in a class of twenty said they understood. Thank you so much.

Glad I could help...and thanks for subscribing! Now you know where to find me to keep you from future frustration:)

Thanks from your personal youtube tutor!...and thank you for watching...please share with your friends too:D

Sorry...at 2:40 I was correcting myself and was trying to say: "don't make it a big convoluted MESS"... I DEFIANTLY did NOT say meth lab and please consider this an apology if you thought that is what was said!

Love the way you teach. Especially the enthusiasm. It definitely affects the way I learn. Thank you!

I don't feel quite like a legend yet but THANK YOU for your extremely complimentary comment! And thank you for supporting by liking and subscribing. I hope you will continue to share your experience and my channel with others and help to make Tarrou's Chalk Talk the go-to math channel in Australia:D...and put me one step closer to that legend category:)

The range of what, the last example? I gave an example of range in the first example, so what do you think is the range of the second example?

You make math way easier

Thank you soooo much!! I'm homeschooled, and I've been stuck on this for forever! Now I finally understand! I will definitely be watching more of your videos :)