Graphing Piecewise Functions, Domain & Range - Limits, Continuity, & Absolute Value ,

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This math video tutorial focuses on graphing piecewise functions as well determining points of discontinuity, limits, domain and range.
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

Опубликовано:

21 авг 2016

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Комментарии : 218

@TheOrganicChemistryTutor 5 месяцев назад

Final Exams and Video Playlists: www.video-tutor.net/

@xClicKx 2 года назад

Instead of reviewing my notes, im watching every video for every section im gonna be tested on lol. Your explanation is so easy to understand.

@LeithB 2 года назад

You are carrying me through college-level algebra. Thank you very much

@tzuyu8788 Год назад

this is college level?? im learning this shit in 11th grade

@LeithB Год назад

@@tzuyu8788 Well I was doing this while in dual credit in the 11th grade, so meh. Last semester i was an 11th grader.

@zfox5004 Год назад

I'm doing this in grade 9

@priscillaz4108 Год назад

@@tzuyu8788 its reoccurring topic, I first learned it in 7th grade when taking alg 1 then alg 2 in 9th and now I’m in 10th doing college precalc and reviewing it

@kaleblee1167 Год назад

@@tzuyu8788 IM IN 8TH

@ICWWSoccer 4 года назад

If I was a millionaire, I'd hire you as my private tutor.

@vishgonur6570 3 года назад

Lol

@simphiwebling9092 3 года назад

Lol 😹 I'd also hire him. This guy literally knows everything After Eminem obviously 🤧

@personalaccount163 2 года назад

Probably YOU r

@emothough4475 2 года назад

@@simphiwebling9092 what do you need Eminem for anyways

@simphiwebling9092 2 года назад

@@emothough4475 Raps

@zunairahislam390 6 месяцев назад

THE FACT THAT THIS MAN MADE A VIDEO 7 YEARS AGO N IS HELPING ME IN 8TH GRADE RN TYSM

@miahayes8985 3 месяца назад

I used this video when I was in 8th grade too and now I'm using it again when I'm a junior in college so it's crazy how he has helped so many people throughout time and continues to!

@Frost-em1vb 5 лет назад

Your explanation was great and helped me significantly. Thank you.

@lioraisrael7231 4 года назад

Your video really helped me get through this lesson. I believe it had something to do with the way that you broke up the solution process. Thank you so much.

@vordivask4059 6 лет назад

Really helpful and figured out exactly what I needed to know, thanks!

@abdullahe3674 4 года назад

truly wonderful, i can imagine how much effort it take to make these videos . thank you :)

@brendenlang9593 3 года назад

Bruh literally first 4 min did better than a weeks worth of my teachers teaching

@uznaimat7072 2 года назад

Thank you. This is going to help me so much for my math college courses. Thanks a bunch.

@emmanuelrodriguez7022 5 лет назад

taking calc over the summer so trying to get a head start thank you for your videos :D

@gadgettrek Год назад

Studying for my high school math cert. You are a lifesaver.❤❤

@Bkboy911 10 месяцев назад

2 weeks of learning done in 30 minutes, sweet.

@originalgrandslam 5 лет назад

My 8th grade algebra teacher was teaching this and I have mid terms coming up so I had to review this topic because it confused me so much, so far this is helping a bunch.

@yabaz800 3 года назад

yo what I know now you are at your 9th grade but how come you studying this at year 8, anyway gg

@kristelburog6665 2 года назад

bruh your school's lesson is so adv, where's that??

@justinekoip9676 Год назад

All your tutorial videos have helped me a lot. May the good lord bless your work.🙏💯

@dishsoap5317 Год назад

you are such a g i think imma pass my exam bc of you!!

@emilyzhou5541 3 года назад

Thank you so much! This helped immensely :)

@seonhuidu1501 2 года назад

hi, for the domain of the third graph, shouldn't it be 4 instead of -4?

@user-se1ne1xm9n Год назад

나도 이게 이해가 안되네

@noboniahasan8213 Год назад

I have the same question😐

@itsmebymyself8033 9 месяцев назад

It should be D (- infinity,4) U (4, infinity)

@MoherZO 8 месяцев назад

I had same problem

@simthandileqhunyana1798 2 года назад

its 2022 and your videos are still useful

@azizpatel4907 3 года назад

you are a life saver...

@sabrina.pianist 2 года назад

You make my professor look bad, I’m actually learning and I haven’t recalled a moment in life where I actually learned since I took geometry in my sophomore year of highschool so thank you

@georgesadler7830 2 года назад

MR. Organic Chemistry Tutor, thank you for another off the mathematical charts video on Graphing Piecewise Functions, Finding Domain ,Range ,Limits, Continuity and Absolute Value. There is a possible error on the range where you have [-3,-3], please check video.

@eshkolali6078 5 лет назад

big respect

@kotosqoposrly 6 лет назад

When I learned about Limits last week on college, I went full Cady Heron in my mind =]

@mamoonamahmood2912 3 года назад

Always appreciate a mean girls reference 😌

@krkmjr8429 2 года назад

u study this in college???

@kotosqoposrly 2 года назад

@@krkmjr8429 it was university to be exact.

@nandolance91 2 года назад

@@krkmjr8429 you have to know how to graph piecewise functions to evaluate limits in college

@krkmjr8429 2 года назад

@@nandolance91 yea im learning graph rn on high school

@BEXIVLOGS 7 лет назад

At 23:10 shouldn't the domain be (-infinity,4)union(4,infinity)instead of -4?

@sleepyhead785 7 лет назад

i think so should be +4

@sawakokuronuma8689 6 лет назад

i was bout to comment that...

@DK_75 6 лет назад

It should be +4

@RahulRathi_Multimedia 6 лет назад

yeah I stopped at 23:10 to read comments. I knew someone intelligent would comment :)

@abbasuddintasin5244 3 года назад

How about this if I say Domain =(-infinity,-1)u[-1,4)u(4,infinitey) Is that right or wrong?

@theunseen6935 2 года назад

the domain for the last example is from negative infinity to 4 and from 4 to positive infinity. you said it was up to -4 which is wrong

@therickestpicklerick 2 месяца назад

Glad you learned!

@yabaz800 3 года назад

champ you are the best

@mazharabbasbukhari7390 5 лет назад

oh god,thatswhy this topic was so tuff,i never attempted this part in exam.and still mind become mouf.

@kapundapanduhi7259 2 года назад

THANKS ALOT BOSS!

@rubystars1919 4 года назад

why can't I understand this WTF

@imdonelol4495 3 года назад

Same. 😔🤜🤛

@fphrogz7261 3 года назад

omg Kageyama LMAODKD but SAME OML

@luigiman64 3 года назад

Well I'm dead

@alphakennybody70 3 года назад

Yo bro this is hard asf my nigga

@waynenayem1957 3 года назад

Learn functions, finding domain and range, graphing functions first

@YoungVinny 6 лет назад

23:10 hmm should be +4 not -4

@famfam7266 4 года назад

Oh thnak you thought i was wrong

@shaziedalam4074 3 года назад

Yes

@thedajamari3828 3 года назад

Yooo, I was thinking the same thing

@stefanpetrovski5793 3 года назад

OMG THIS VIDEO HAS EVERYTHING I NEEDED. THANK GOD I WILL PASS MY CALCULUS 1

@btslover2.048 3 года назад

calculus 1 I’m learning this in algebra 😭😭

@erickreyes7547 3 года назад

@@btslover2.048 same alg 2

@purrpcaine211 7 лет назад

My question refers to the 2nd problem. Now im fully aware that you can't have a negative under a radical but hypothethically speaking what it you had a function of -x under a radical for x less than 0, how would you solve that?

@nuggetx4086 Год назад

It isn't possible unless you use complex numbers

@somethingonboard5364 3 года назад

Is it true that if you take MJ it would be easier for you to memorize readings? dos it also apply to mathematical formulas?

@mazharabbasbukhari7390 5 лет назад

sir u r great

@nubianchick3667 3 года назад

Can I hire your brain for like every second that Im alive?

@bhekidlamini51 2 года назад

Thanks!

@PHILLYMEDIC69 5 лет назад

thanks julio

@hayleywilliams7346 6 лет назад

thanks

@mrmathcambodia2451 3 года назад

ok , I like this solution in this video .

@dayakarejnavarzala6746 6 лет назад

I'm a little confused...Shouldn't the first problem's range include the discontinuity on the y-axis?

@nametsogoitseonemoatshe1633 5 лет назад

@23:52 WHY IS -3 included and not excluded?

@BWG05 10 месяцев назад

23:00 domain would be from negative infinity to 4 union 4 to +inifinity right; not negative 4?

@luluangas5290 2 года назад

At 21:31 why did you plug in 6 if you can do 5? please enlighten me, thanks in advance :)

@candicaswanapole8539 7 лет назад

shouldn't the x asix of radical function start from 4 because we cant take 1 as it is stated in question x>1 ( not equal to 1 )

@TheMostHigh13 4 года назад

At 23:00 there is a mistake. We're only human. Could you put something in the video description to correct that? Thanks.

@kamwendomusonda Месяц назад

The organic chemistry tutor saved my life🥲

@neffinsanchez4049 Год назад

21:31 why did he plug in the 6 was just random or did he have something else done before hand. thank you in advance

@candicaswanapole8539 7 лет назад

iam talking about question 2

@Fortunate_crown 8 месяцев назад

Wooa! I just hit on it now! Do not bother. I just thought better of it. For the first case, y = - 3; so, it is not dependant on x. Hence, we are safe to say the range of values starts from - 3 since y is - 3.

@omnivack9198 4 года назад

At 23:50 isn't the "-3" supposed to be in parentheses() rather than brackets [ ] because technically it doesn't include -3...??

@farnazkhan9267 4 года назад

Yes exactly

@gabebaste2550 4 года назад

If you look at the graphI -3 is still included because the domain goes to the left continuously

@NineONI 4 года назад

Gabe Baste But it’s in regards to range not domain, therefore shouldn’t it exclude the -3?

@cryptowithdaxza Год назад

tnx bro

@haelraph 9 месяцев назад

Can someone explain 4:01 ? Why did he start with y intercept? Why doesnt both ends go infinite and only one has the arrow?

@dwiaustralia4920 3 месяца назад

Do you have video about piecewise function for wind direction with angle please

@MzwandileHarmans 3 года назад

What is the value of f(x) if the corresponding y-value is neither a hole nor a solid hole but just a line. Do you read off the graph ?

@mappuhhstudioofficial 2 года назад

I would say you would have a horizontal asymptote giving a domain of (-infinity, infinity) and the Range is [1], the limit as x approaches -infinity is -infinity, and as x approaches +infinity is infinity.

@kimutaikelvinboen9073 2 года назад

At(- infinity,4)U(4,+infinity)

@Buddhabebop 3 месяца назад

if 1/x only allows negative numbers according to its instructions how is it its range includes negative infinity?

@arinzeanthony7447 10 месяцев назад

Is it even possible to find the range of such piecewise functions without plotting graphs?

@rowanmutwanamba5127 3 месяца назад

The guy is dangerous

@c4ne 4 месяца назад

tysm

@juliannakatelig-ang2793 Год назад

If doesn't have any equal sign means open circle?pls enlighten me

@alfonsobusa9921 4 года назад

For the last one, the range should be [-3,0] U [0,3) U (3,infinity)

@kienfattyam6195 3 года назад

there's nothing there between -3 and 0

@enriquezmatheorainiellen.8155 6 месяцев назад

question, can't I directly answer [-3,3)U(3,+∞)?

@ilyasnur8704 9 месяцев назад

o chem broski I love you

@AmmarAlKhatib581 3 месяца назад

hello, how did he find f(4)=6 in the end?

@bolinozenonsantiago8968 2 года назад

te amo

@jaskaranshekhon9990 4 года назад

Why do we need those red statements?

@toxicmaniax5719 2 года назад

At 21:18 why would you plug in four when it not x is greater than or equal to four it just x is greater than four, wouldn't that mean that four is not included in domain, why not use five? I just realized that four is included, I was only thinking of 2x-5 as an individual function, 4 is included because of the second rule in the piece wise function my bad.

@winglessbling1499 10 месяцев назад

same question

@Fortunate_crown 8 месяцев назад

For the range of the last question, shouldn't it be : R(-3, - 3) U [0, 3) U (3, infinity)? Pls, respond to this; so I can get it clarified. Thank you very much! Love from 🇳🇬.

@faithatienza615 2 года назад

So glad your here hahahaha

@nilaysingh9252 7 лет назад

how do you know when to put an open or closed circle when graphing?

@TheOrganicChemistryTutor 7 лет назад

let's say if x is equal to or greater than 2, a closed circle should be used. If x is simply greater than or less than 2 but not equal to 2, then an open circle should be used.

@nilaysingh9252 7 лет назад

oh ok thanks man

@krkmjr8429 2 года назад

4 years :(

@dereksavauge6613 3 месяца назад

At 24 minutes you said that it doesn’t include -4 but I think you meant it doesn’t include positive 4

@nurazmina1237 2 года назад

Hanani tngok ni , aku kt comment

@hananiradif1995 2 года назад

Ya sayaaaaaaaa

@nurazmina1237 2 года назад

Abg kt video tu beleter ape , tam pamham amkum

@FLICITY 2 года назад

I just came to know that his name is Julio Gonzalez

@cherlielynvalino8708 5 лет назад

why was x-1 equal to 0 became 1/4 x?

@krkmjr8429 2 года назад

fr he should say every step so we can learn

@anthonyviana7913 3 года назад

isnt the domain suppose to exclude 4 not negative 4??

@heechul-elf-2696 2 года назад

yeah i was wondering the same this

@juheongbae5219 Год назад

basic high school level !

@zeinabebron4849 10 месяцев назад

The domain for the last piecewise function should be 4 instead of -4.

@MoherZO 8 месяцев назад

Yes

@SheikhAlviraihan-fo5nc 10 месяцев назад

In 23:02 why did you take negative 4 in the interval of domain? Can somebody please clear this doubt?

@hasanal-dhubaibi1507 8 месяцев назад

I guess that was a mistake, also I guess the range should be from [-3,3) union (3,+infinity) not [-3 to -3).

@kimutaikelvinboen9073 2 года назад

In domain +4 is not included not -4 ,,point of correction

@sitinurlisabtizwani2408 3 года назад

hi.. can i ask one question?

@anthonyroberson5199 2 года назад

I can do the math is anybody else getting confused on the graphing part

@jennifergunter4575 5 лет назад

Number one thing is these videos don't explain how they get the answer they just know so they write it on the graph but never explain how they got it

@cyabits1 5 лет назад

i am confused with the use of ( ) and [ ] or [ )

@diggittydoodoo 5 лет назад

You use "(" when the inequality uses less/greater than, while you use "[" when the inequality uses less/greater than OR EQUAL TO. Examples: x < 2 = D(-∞, 2) x ≥ 3 = D[3, ∞) 3 < x ≤ 8 = D(3, 8] 2 ≤ x ≤ 6 = D[2, 6]

@Bahenyi 5 лет назад

F of 4 is equal to 6...is this correct?

@lanaichild926 3 года назад

No, it should have been 3. Using either the absolute value equation or the linear equation you get 3.

@AmmarAlKhatib581 3 месяца назад

@@lanaichild926 im confused because of this as well, how did he get 6??

@Dappa-fv7zg 3 года назад

good video but just not as long tho👍

@haiter347 3 года назад

as you can tell id rather be around loved ones and not associate with people i have no clue about. It was a mistake, a massive one to be frank

@haiter347 3 года назад

different values and different aqpproach to business and frankly life. this is the end to whomever is inside my business

@haiter347 3 года назад

y do u feel entitled to me? ask yourselves that.

@haiter347 3 года назад

ik watever i say doesnt matter cuz im a 2d caricature and have been for a long time to many of u

@PaisPokopi Месяц назад

Are you an AI?! Cos you're so cool.❤

@baltimore21 4 месяца назад

22:51 sec the domain will be R - {4} not -4

@naimatullahkhanitistruth5062 4 года назад

Before to solve the question plz sir define the topic first.

@DragonKidPlaysMC 4 года назад

Naimatullah Khan it is truth he has other videos on this mate...

@naimatullahkhanitistruth5062 4 года назад

@@DragonKidPlaysMC send a link plz

@kristinemarcelino6805 3 года назад

can I ask for help?

@kitcatangames9045 5 лет назад

Isn’t 3 not included

@raisasultana2077 4 месяца назад

In last example the domain is wrong. It is 4 not negative 4

@jalynsequen5543 2 года назад

Can someone tell me where did he got 6 from at 21:33 I am so confused :(

@CriVal4 2 года назад

you can use any number, as long as it's greater than 4, hence the x > 4.

@August00098 8 месяцев назад

@@CriVal4 so if it any number greater than 4, will it still be an open circle or will it be closed??

@CriVal4 8 месяцев назад

@@August00098 hmm, it's been so long I have forgotten T-T, but my assumption is put open circle only if you've reached the limit given on the condition, on the video it was 4 and -1

@muaazkhan5388 10 месяцев назад

i still dont get domain and range its so confusing

@cyborg9232 3 месяца назад

22:50

@jaimelynn6464 4 года назад

THE LIMIT DOES NOT EXIST!

@rafidshafiq494 Год назад

why is the domain -4 in the last question

@aaron9262 11 месяцев назад

its an error. I hate it when he does it and not correct it.

@nicholasjohnson4894 4 месяца назад

How come he uses y intercept and then sometimes says fuck it

@ashnabeechook2829 5 лет назад

x --> + infintity, means x aproaches infinity from the right !!!!! not from the left !!! this is completely wrong

@frost.707 5 лет назад

What? no. It means x is approaching positive infinite.

@hunterknutson2665 4 года назад

bahahahah, no. how could a value approach positive infinity from the right? that would mean X is greater than infinity, i.e. not possible. Think about that for a second...