Graphing Piecewise Functions - Precalculus
This precalculus video tutorial provides a basic introduction on graphing piecewise functions. It contains linear functions, quadratic functions, radical functions, and rational functions. This video contains plenty examples and practice problems on how to graph piecewise functions.
Introduction to Functions:
• Functions - Vertical L...
Evaluating Functions:
• Evaluating Functions -...
Function Operations:
• Function Operations
Increasing and Decreasing Functions:
• Increasing and Decreas...
Relative Maximum & Minimum Values:
• Identifying The Relati...
_____________________________________
Relations and Functions:
• Relations and Function...
Domain and Range From a Graph:
• Domain and Range of a ...
How To Find The Domain of a Function:
• How To Find The Domain...
Average Rate of Change of a Function:
• Average Rate of Change...
The Difference Quotient of a Function:
• Difference Quotient
_____________________________________
Evaluating Piecewise Functions:
• Evaluating Piecewise F...
Graphing Piecewise Functions:
• Graphing Piecewise Fun...
Composite Functions:
• Composite Functions
How To Evaluate Composite Functions:
• How To Evaluate Compos...
Composite Functions - Data Table:
• How To Evaluate Compos...
Comp. of 3 Functions - Data Table:
• Composition of Three F...
Decomposing Functions:
• Decomposing Functions ...
_________________________________
Introduction to Inverse Functions:
• Introduction to Invers...
How To Find The Inverse of a Function:
• How To Find The Invers...
Verifying Inverse Functions:
• Verifying Inverse Func...
Horizontal Line Test - 1 to 1 Functions:
• Horizontal Line Test a...
Vertical Line Test:
• Vertical Line Test
Graphing Inverse Functions:
• Graphing Inverse Funct...
Composite and Inverse Functions:
• Composite Functions an...
__________________________________
Even and Odd Functions:
• Even, Odd, or Neither ...
Transformations of Functions:
• Transformations of Fun...
Linear Functions:
• Linear Functions
Functions and Graphs - Problems:
• Functions and Graphs |...
Functions - Test Review:
• Functions
______________________________________
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections
Пікірлер: 706
Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Functions and Graphs: kzread.info/dash/bejne/jIh52JqInqrHqNI.html Transformations of Functions: kzread.info/dash/bejne/pq2FrtJvqJCtn7g.html Graphing Polynomial Functions: kzread.info/dash/bejne/pIODx8idobDcpKQ.html
@lucasisasi9759
10 ай бұрын
3:16 why he choose number (y: 5),somebody can help me please
@hbrymiri8301
2 ай бұрын
@@lucasisasi9759 he added 2 to x because 3 is greater than 2 we replace x with 2 giving us 5 in total.
His voice always calms me down during my pre-rest panic attack
i feel like im getting it at the same time not
@dionel1388
3 жыл бұрын
Oof
@abicados2386
3 жыл бұрын
One year later and I still don’t really get it :DD
@icesnowflake5510
3 жыл бұрын
@@abicados2386 lmao, I never got this eithet
@frankg2579
3 жыл бұрын
tmr test, plz pray for me....organic chemistry tutor my last hope....
@dionel1388
3 жыл бұрын
@@frankg2579 Good luck and God bless! You can do it! 🧡
After 2 weeks of struggling with this, I am watching this the night before my test...and in just 11 minutes, everything made sense to me
@deffokay5879
Жыл бұрын
2 weeks?? Bro my freaking teacher got through this in 4 days. Day 1 is learning it. Day 2 is a worksheet. Day 3 is review for test (on your own) and day 4 is test. This is so unfair
@slugsarecrunchy
Жыл бұрын
@@deffokay5879 well, we had multiple lessons on limits. I was basically behind on everything and my calc teacher loves to ramble on and on and get all theoretical, and my level of conscientiousness in extremely low 😖, that's why. Thankfully he's teaching it much better now. It all makes sense during class 🙂
@CourseIsaacDoesIt
Жыл бұрын
@@deffokay5879 my teacher gives the homework, then explains the lesson the next day, then test the next. She is probably the worst teacher I’ve ever had but this video is the most helpful thing ever
@perrycrotty7624
Жыл бұрын
@@deffokay5879 bro we had half a 50 minute period on it i am so fucked
@heyitskara3292
Жыл бұрын
Ha I wish mine was this way. We just learnt this a day ago and she’s already putting a test on it in front of us. She does this everytime we learn something. One day to learn it, one day to study, and then a test on something we barely understand.
I feel like 90% of the math I learn, I will never use other than to show people I failed at it
@imgonnasneezeachoo
4 жыл бұрын
I have a friend studying aerospace engineering and she's studying certain physics and calculus she knows she's never going to use. Its everywhere man Like hell i wanna be a nurse,other than half lives, when am I gonna use quadratics lol
@nnnn50001
3 жыл бұрын
+ - • / is all the math you’ll need
@user-oo5xy3ee8o
3 жыл бұрын
right i feel like all we really need to learn is the stuff in elementary. Addition, Subtraction, Multiplication, Division. But after that i feel like people just got bored and said “Well we have to teach them something lol” and just threw some stuff in there. The stuff they have us learn isn’t able to be used. You’re not gonna put on your resume “I can do piecewise functions 😀” after elementary, you should have some time to figure out what you want to be when you grow up, and dabble in a few things. Then you should go to school for the thing you want to be. Like if you wanna be an accountant, then you’d go to school for that, a doctor, a painter, a photographer, etc. and learn the stuff you need for THAT thing. _okay that’s the end of my Ted Talk thank you_
@jimmys7705
3 жыл бұрын
@@user-oo5xy3ee8o posted this 10 months ago and I still dont know how the fuck to do it
@natnaelgirma2071
3 жыл бұрын
True dat
For the people who are still lost, what he is trying to do is combine the functions with the given parameters/limiters, whatever you want to call it. He is taking part of a function and graphing it on the same graph with each rule, and the first example itself explains it very well. Basically he graphs both graphs, but uses the x value limiters (x>/=0 and x
@manveersingh9490
9 ай бұрын
noob
i literally never talk in class and i pay attention but i still dont understand lmaoo
@cesarnavarro6915
4 жыл бұрын
Matthew Field yooo same lmfaooo
@amberh7171
4 жыл бұрын
Same, and I have a test on it tomorrow and literally no one in my class gets it
@tennellcolbert8859
4 жыл бұрын
Matthew Field same
@connor12912
4 жыл бұрын
this shit makes zero sense
@victorlikescosmicbrownies
4 жыл бұрын
Same this is the one thing I don't understand
I'm still lost lol
@filobatirsarkis646
5 жыл бұрын
do you know the way
@eymme5571
5 жыл бұрын
Lol same
@monkeyman2432
5 жыл бұрын
Here
@lexiesmiski
4 жыл бұрын
Same wth
@windygraphics6131
4 жыл бұрын
he explains pretty bad its easier than that
You’re the best tutor on KZread God bless you and keep up the good work
@bobbrock4221
Жыл бұрын
I really like the Khan Academy as well. To be honest I think TOCT does a better job of really breaking it down into a way that I can understand. Except for this section, I'm not grasping it
@carreeeck4384
Жыл бұрын
Agreed
tutor: take your time graphing step by step and you should be fine. It's not that difficult me: still gets it wrong
@CarlosCooksChi
4 жыл бұрын
sarai mejia lmao
@roshrosh8991
4 жыл бұрын
Relate🤣🤣
That moment when you understand it just fine but still can't do it for some reason...
@idenafshar3451
3 жыл бұрын
Me right now
@daftspect
2 жыл бұрын
literally!!! it's so annoying. like i get it in class but when i do seatworks im so lost
@autumn5108
2 жыл бұрын
me rn
@rafaellamalca5629
2 жыл бұрын
RIGHT!
That's it. I'm failing math and I'm a piece of disappointing trash.
@alilnobody5672
4 жыл бұрын
Goodluck haha
@anthonyw6895
4 жыл бұрын
Sir Sykes don’t give up, keep going
@darkside-tr2gj
4 жыл бұрын
no ur not lol, literally everyone is bad at math. my mom, who is a pharmacist, is bad at math. you will get it eventually. its easy but has many factors
@sageofintellect6437
4 жыл бұрын
I used to say that i was bad at math. I used to fail tests like a champ and offer petty excuses. Until one year I made a commitment to myself that i would try to get an A. It was hard and the grading policies were tough but I realized that the only reason why i was bad at math was because I simply did not care at all about the class. I was lazy and did not want to try. I always believed i could not do good and that was the problem. I didn't pay attention in class or even care to listen to the teacher so I was constantly confused about the homework. It didn't help that i had not been paying proper attention in math for the past couple years as well. When i finally realized that this was the reason why i was bad at math and i began to understand how school worked then my test scores skyrocketed. Of course having a good teacher and you tube videos like this helped a lot but i was the one who was paying attention in class and doing the HW. I ended up with a B overall in the class and was very close to an A. So never say that you are bad at math or that you are garbage because i can assure you that you aren't. You simply need to get in the mindset to succeed and then work your butt off. You will face many difficulties as you try to improve in math but these difficulties will teach you many things and give you the skills that you need to succeed in other subjects . trust me. All you need to do is put forth the effort, start paying attention, and stop making excuses/being lazy. this was my experience. I hope you learned something.
@youngstarsgrinding
4 жыл бұрын
Bro this school stuff doesn’t define you. You don’t need to get good grades to be successful. Keep ya grinding and keep ya head up
me crying cause i still don’t know how to graph piecewise functions
@honestyisthebestpolicy6408
Жыл бұрын
hi Emily
piecewise functions are the death of me😭😭 i asked my teacher for help after class today and he was like range is very difficult to find💀💀 so i had my twin brother who’s in calculus to help me. But this video helped me understand even more so thank you!
@mohamedalzedawi141
Жыл бұрын
gave you the 69th like, congrats😃
pov: you have a test in 2 hours and you're just now studying for it
@masonharvey6149
2 жыл бұрын
I’m in a study hall without headphones rn so I’m studying with subtitles
@donthaveausernameonmind7450
2 жыл бұрын
@@masonharvey6149 not same externally but same internally if that makes sense ,Iam also using the subtitles
@emmagraceberardelli5057
2 жыл бұрын
Yup
@emilymurphy1084
2 жыл бұрын
the night before but yes
@j0ker_Editor_Channel
2 жыл бұрын
ME RN
For the people who are still confused after this video. I suggest watching other (youtube channel)videos related to this topic. Based on my experience i watch 10 youtube vids (different youtubers) in order to grasp the concept and every youtuber explain their idea about the concept of piecewise function graphing. For me after watching different vids. I come to conclusion that there is different ways to graph this piecewise function and our tutor in this channel use different method in every problem (thats the confusion comes)but if you can find a comfortable way to graph, stick to it.
@eymme5571
5 жыл бұрын
Ok, imma do it
@revoltanimation8957
3 жыл бұрын
thank u broskie
@anonymous-nu9vs
2 жыл бұрын
Basically.. you'll need to know graphs of different functions, inequalities and set theory and
@Lou_Mals_San
2 жыл бұрын
ahhhckk thank u for ur comment, that's whyyyyy
wow this is so helpful, much more than my college preCal's textbook. Textbooks are written professionally and they don't include tips or easy-to-follow steps, but you make learning math really interesting! thanks so much and i'm also looking forward to purchasing some of your merchandises!
I cannot thank you enough for these incredible tutorials I just started pre calc and you are a life saver
My teacher could’ve just played this video LMAO
@nabihah2674
4 жыл бұрын
then your teacher isn't doing their job
One again Thank you very much. Math is a practical thing to me ,like cooking ,you really help simplify the 2 page notes they give us in class, and just simply show us "which is what" and what is being requested❤😊
Love this! Great intro. Guys if your still confused, just do a ton of practice problems and have Photomath show you how to get the answers when you’re stuck.
@mohammadaljarwan719
2 жыл бұрын
It’s complicated f*s💔
Why do I have to know this!
@newsterkun1336
3 жыл бұрын
Best question
@sageofintellect6437
3 жыл бұрын
@StevenMora you don't It just teaches you the type of critical thinking you need to learn actual math that you do need to know
@j.s.2958
3 жыл бұрын
@@sageofintellect6437 I learned that kind of critical thinking a million times before in middle school. I don't need to learn how to do critical thinking over and over and over and over again.
@DanaLea57
3 жыл бұрын
@@j.s.2958 Yes you do.
@marvin-cw4tw
2 жыл бұрын
@@DanaLea57 no da fuk u dont, this is a pointless waste of time
Finally! I’ve been struggling with this since our school uses Aleks, but it doesn’t explain this well enough.
This was so helpful, I learned this months ago but this was the perfect way to refresh my memory.
taking math classes online that barely give detailed help or explanation and the teachers almost always on break is recipe for disaster...until organic chemistry tutor videos exists you fr carried me in my online chem and pre calc classes thank you :)
THANKYOU. MY TEACHER WASNT EXPLAINING IT AT ALL. YOURE A LIFESAVER
MR. organic Chemistry Tutor, thank you for Graphing Piecewise Functions. These functions are linear, quadratic, rational, radical and constants. The TI-83/84 Calculator is also helpful for Graphing Piecewise Functions.
Professor's voice calms me down and opens my brain to understand. The best therapy ever for my math trauma experience.😂😂😂❤
you're an amazing tutor btw! You made math a little easier for me... Just hope our teacher will too >~
This videos makes sense for me, i even can understand what he said, incredible.
I watched only a min of this video and got it right away. MANY THANKS!!
This helped me a lot on todays pre-calc quiz, I missed the first lecture and missed out on this, but thanks to your video I was able to understand the concept and solve the problems in my quiz. I am genuinely grateful. Thank you very much.
@RuthM1611
8 ай бұрын
you doin this in pre calc! 😭Why I have to do this in Algebra 1
Thank you so much I've learn weeks worth of work in 12 min
Thank you I’m in an accelerated class we go over the concept once and test at the end of the week. Big help. 🙌😌
Can you please give reasons as to why you take certain steps? Like why you picked the the positive side for when y=5
Your lecture feels like your re walking along with me in my brains!!! Thank you so so so so much😢
My homework is like this but 10x more complicated
omg this was so helpful!! exactly what i needed!!
I'm so surprised that I understood any of this. Thank a lot!
Good luck to everyone in finals!!!!
@dionel1388
3 жыл бұрын
Thanks! :)
A math tutorial with a clear voiceover!
thank you so much i literally had no clue what was happening in class, and you just helped me so much because i have a quiz tm
idk what id do without these videos
Thanks. This video really helped me learning Algebra 2.
BRO, YOU ARE A LEGEND, KEEP UP :)))
Thank you for this. It’s helped me a lot
how is it that you explain it so much better than my dc college algebra teacher ever does.
literally the best channel
Man this guy's a Multi talented he knows every single subject 🔥
Thank you this really helped clear things up for me
I understand it better now! You’re a life saver TwT
I have a quiz on this stupid tmr and I'm still lost lmao EDIT: I got 48% on the quiz lmao my friend got 16% and that’s what I have in class rn 😢
@sarafield6079
4 жыл бұрын
Same, I already know I'm going to fail it. I missed the lesson in class and the other kids said that the notes wouldn't help anyway when I asked if they knew how to do it😰😢
@Yuumii101
4 жыл бұрын
Sara Field I failed it lmao and my test is coming up next week so rip🌚
@caleblopez9970
3 жыл бұрын
ppp.ingping_ and what did you get on the test??
@emma-ou8de
3 жыл бұрын
@@caleblopez9970 yo their test was 8 months ago I don't think they remember LMAO
@joshuamichel4135
3 жыл бұрын
@@caleblopez9970 Aye bro I have a test tomorrow I'll let you know how that goes if that'll make you feel any better haha.
Wow, thanks a lot bro u made things easier with that hyperbola example in between. Daya dankie ones again and keep up the good work hey
You, sir, are a life saver 🙌 ❤
This was so helpful Thank you very much😭❣
Thank you from the bottom of my soul for this fast video!!!! Geesh
THANK YOU SO MUCH WITHIN 1:47 YOU TAUGHT ME MORE THAN MY TEACHER
srsly, thank you i might be able to answer smth at our test tomorrow
Me at 0:00: I'm ready to learn!! Me at 11:58: whaaaa????
You need to compare all the math equations he did so you can understand how he did it. That’s how I somehow managed to understand his lesson.
It all makes sense now even after 1:30 in I was gone when my teacher was teaching this so I needed to see this❤
very helpful! thank you
Thanks for the wonderful explanation! :)
You have saved me from a great deal of pain , thank you sir
THIS IS JUST AWESOME
Super helpful!!
this just saved my booty, thanks man you the best
Literally watched this for 2 hours straight, I finally get it lads🎉
this was really helpful
Thanks, brother!
Thanks man. Keep it up
Tnx so much Understanding this has never been easy
wait why -2 squared is -4??? Its actually positive right????
@xmascarol3962
5 жыл бұрын
bilah These two are different -(2)^2 and (-2)^2 since it didn’t include a parenthesis im pretty sure he assumed it was -(2)^2
@isabellawilson3948
4 жыл бұрын
XmasCarol true that
@coolaverage2017
4 жыл бұрын
He correct
@jacobrye3949
4 жыл бұрын
-2 squared is 4 not -4
@ehhhhh596
3 жыл бұрын
Wait where did that -2 come from???? Pls help me
Watching this 2 hours before my test and hopefully I'll do good 👍
helped me a lot especially under isolation
Don’t know where to put it . I really appreciate your playlists . If you’d drop a linear algebra ting would be gass .
I dont get it👳
@roseashley8602
4 жыл бұрын
Ok piecewise functions are functions that consist of multiple functions on a graph and you will be given an inequality and you graph or subtitute
Thank you very much mr.... I've really been helped..🙏🙏
This was so helpful
shouldn't the x value of the square root function be at y=0 instead of 1 , like the parabola in the question before ?
I like how in depth you go, dipping into pre-calc to make sure everybody can follow. Even though most of these early videos are a review for me they help a ton reinforcing the ideas as I continue with my studies. Great work, I find your content more helpful than Kahn (not hating his style just doesn't jive with me very well)
KZread videos teach me betters than my teachers/math tutors XD
You are a bloody legend
thank you very much for this lesson, your explanations are very helpful!
Yur videos areso helpful to somone like me who's just starting calculas 101
@fanwee5048
5 жыл бұрын
Kurtisha Charlery this is alg. 2 dipdick
@l0lgirl675
5 жыл бұрын
u wish it comes back to haunt u in pre calc
@kurtishacharlery
5 жыл бұрын
@@fanwee5048 didn't say it wasn't . Just saying that this is the one of the first things you do in calculas 101 n this a helpful video. Smh
@kurtishacharlery
5 жыл бұрын
@@l0lgirl675 yep😭
@lolzxl9184
5 жыл бұрын
Dafuq what do you mean, I’m doing this in 7th grade
Can I use a Ti-36X pro to graph piecewise functions? This is what my college algebra teacher requested we get.
dam i had no clue but NOW i can do it. so that pretty POG thanks mate very god vid keep it up
Please tell me how to express squre root of (2y-x) squared as a piecewise function
“Graph it step-by-step, it’s not that difficult.” Me, repeating PreCalc 1 and feeling attacked: 🥴 lmao
thank youuuuu!!!!❤
Thank you so much
Very helpful video
i finally get it ,thx sir
👏🔥thank you so much, now I can go n face fourier series
very much helpful.
Youve been my savior for yrs but for the first time im lost 😭
how is a guy on youtube teaching better than my 9th grade math teacher
Using this for my pre-calc course and I like his voice, he reminds me so much of Mark Walberg talking. Same accent maybe? But its a good tutorial, Thanks!
At 4:39 you plugged in 1 in x, but it is stated there x is less than 1. Can you please explain? I'm confused right now.
You save my life! Thanks for your awesome videos. You explain better than my professor!