Understand Domain and Range
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- čas přidán 10. 06. 2024
- Understand the domain and range of a function. The domain is the set of all values that can be input into a function and the respective output values are the range. There are restriction to the domain in terms of the real number system which the video will explain.
Who came here because theres a test tommorow and your teacher doesnt know how to teach
I'm in the same predicament!
Me
If it's tomorrow, why study last minute?
damn it... u r not a human :D
i came here on my own interest
I wanted to first give God the praise for allowing me to find you on youtube. I am 44 yrs old and have not been in school in over 20 yrs. I was having trouble trying to get my high school diploma at the beginning of the year and could NOT pass geometry. I decided to go for my GED instead at the end of last month. Math was my biggest obstacle until I found your channel. You take the time to breakdown every step of the equations no matter what lesson it was. I took my math GED test today and passed after studying and practicing with your videos and website for the last 10 days. THANK YOU, THANK YOU, THANK YOU.
Congrats man haha
Wow Congratulations!!!!!
👏👏👏
If you liked this guy. You would also like the CZcams Channel, Mathantics. Which you probably already know
congrats!
My teacher:
复制和粘贴
This guy: 1+1=2
Teaching face to face Vs. Teaching in youtube in a nutshell
He still saying moon runes to me
HAHAHAHAHA
I understand ：）
哈哈
lmfao the fact that your pfp fits your comment
Set playback speed to 1.25. You can thank me later
Bruhh😂😂❤️
2x for me
Thank you nick
You will be my dad now
actual g
Came here because I don't understand my teacher. :/
Minhee 😍😍😍😍
Preach!
Same
Same lmao
Stan alert
"If you're watching this video, you're probably in Algebra 1"
Me taking Algebra 2: 👁️👄👁️
same 😂🖐️
Sometimes you just have that lesson and after a Week or 2 I'll suddenly fall out
me taking pre calculus in college, already after taking college algebra T_T
@@stinkbug4449 god i can't wait for pre calc :')))))
why cant youtube teachers come and teach at schools 😭 scl teachers are shiiiitttt .
this video is soo goood ughh.
Cuz there isn’t enough
I have to do this in 7th grade
This video has a couple of errors. Check some other sources such as Purplemath.com and PatrickJMT on youtube.
@@kindbarcid8195 me too .
Sometimes your prejudice for your teachers affects your attitude and attention inside the class.
CZcamsrs give you directly the information that you need while classroom teachers ideally "facilitates" learner centered activities to help you learn the skill on your own. In that way whatever you learn will have a higher possibility of being retained. However, these kinds of videos are really helpful especially for students who need more time understanding a concept that cannot be given enough attention inside normal classroom setting where students mathematical abilities and pace vary. I hope you will still see the efforts your teachers put into their work to not just earn money but to help young ones develop holistically.
Excellent explanation. Thank you for it. Million times clearer than my son's math textbook!
I was scrolling around when I found this video, which seemed to be about the part of math I needed to study for. It was and even as a not native English speaker I understood it and it helped me greatly, thanks!
is anyone here because your teacher did not teach you your homework
Very easy to follow. I like how its simplified. I don’t speak math so this language lesson helped me to understand. Stick with the lay terms concept. It worked great for me. Thank you. The whole machine and breaking it just really helped Thank you!!!!!
❤
First 4 minutes and I finally understood it. You made it too easy to understand. Thank you.
Thank you very much. I've been trying to understand this for sometime now but once I watched this video, all question were answered.
When u couldnt get into zoom but u have a test and didnt learn this 😄✌
i procrastinated learning this and now it’s the summer before 9th grade and i feel the need to finally learn this because i’m stressed that imma need this
you needed it didnt u
did you need it
@@paweld5953 yes veeeeeeeery much
** VIEWER BE WARNED: Overall, useful video. There are some errors that need correction. First, for y= sqrt(x). Mathematical notation has the rule (i.e. writing convention used in mathematics) that the radicand itself represents the POSITIVE square root of your domain element; NOT both roots. If you mean both roots, your equation would have the "plus or minus" symbols preceding the radicand, (and as described in a later sentence, would violate the definition of function altogether.) Therefore, the range of y = sqrt (x) is the set of all numbers greater than or equal to zero. A graph of the basic function corresponding to your equation will confirm this. Another thing to note is that IF you mean the radical function with index 2 that actually WOULD include both roots, the graph of that shows that the graph fails the Vertical Line Test AND the relation format shows that this gives you TWO distinct ordered pairs with the same first element. So, including BOTH roots in what was written says that the example used would not even satisfy the definition TO BE a function. Yes, there is still a "domain" in the sense of input; however, it is not the domain of a FUNCTION. Second, for x squared +2; the range is NOT all real numbers; rather, it is the set of all real numbers greater than or equal to 2. The function is that of a parabola with vertex at the point (0,2) i.e. the "basic" or "parent" quadratic function with a vertical shift up 2 units. (Review linear transformations of functions.) y=2 is the minimum y value because this parabola opens up. Again, this can be verified with the graphing calculator. These facts that I have stated can also be shown in any textbook covering Algebra I (Math I ), as that course covers both of these relatively simple functions. I had planned to send the link for this video to my College Precalc students for review purposes. Luckily, I previewed the entire video before doing so. And those of you who come here because your "teacher doesn't know how to teach" need to be aware that videos such as these are quite useful; sometimes your teacher DOES know what s/he is talking about. Take ownership of your learning so that you don't need to rely solely on an instructor. And remember that not everything you find online is necessarily accurate. You should use videos such as these as reviews, and understand that if anything disagrees with what your instructor and textbook say, you need to do additional research and verify what is actually correct. (And, yes, I am absolutely correct on what I have pointed out, so I will not be engaging in any argument on this.) I do hope the author of this video will make corrections (just as Sal Khan has had to do for some of HIS videos), and post a comment on my comment that corrections have been made.
Marilyn Miller the fuck ur a nerd😂😂😂
TLDR
@@olliew2932 But she is correct. If you are making the effort to go to the internet to learn something, don't you want to be learning it correctly? She didn't say it was a horrible video. She just pointed out a couple of things to make it an even better video. What's wrong with that?
I just saw this video in 2024 but it really helped me I now see what’s happening after watching many videos this one is the best
Thank you. This is the most helpful, basic video on this subject I have found.
Thanks to you I passed my math GED!!! All i did is followed your lessons on you website! Thank you so much!!!!!! Great teacher!!
Rocio Aviles great man any tips???
Im tryin to take mine
thank q sir
Sana ol
My true humility to your explanations that are broken down and gentle to be able to comprehend. I am in the midst of learning this topic over the weekend to finish it fully. Thank you❤️❤️
Thank you for explaining it in a simple way. The virus has made school hard especially the fact that I’m a 7th grader taking high school algebra. Thank you!
Doesn’t everyone learn algebra in 7th?
@@JustCaden it depends whether or not you are in accelerated classes or not (they teach you different things)
Same but i missed 6th 7th and pre alg cuz of covid but i take alg so i study a lot i have an 86% and it should be like an 87 within the hour i need to get a 100% on my finals
Thankyou for your videos man! About to take my exam one, and you have helped alot!
Thank you so much for this very helpful content. I am helping my 9th grader with math, so this really does help me out a lot.
I paused this video to say Thank you!
You are the first one, who mentioned imaginary numbers while talking about square roots of negative numbers. Everybody else just say "there is no sqr roots of negative numbers" and go on...
Again thank you
Thank you, Thank you, Thank you. Fantastic way to make a old man like me understand.
You saved me my teacher is so terrible and you just made it so easy to understand thank you so much
thanks a lot! my teacher didn't explain this well so I'm glad I found this video
hi, that was an excellent way to explain it, it even helps to understand some precalc material, thanks very much.
Wow, what a great lesson! really thank you. I have never been as happy about a video on CZcams for a while. You deserve a big subscribe !
Failed math 101 twice finally up in me arse trying to do something on my own.. i sometimes feel super dumb but i somewhat understood this i guess thank you very much for expecting that some of us might not get this so that you explain it deeper thank you
This was so helpful thank you!!!
Great explanation. thank you so much for uploading this video
Thanks so much, I was struggling with this
Domain and Range for whatever reason is the bane of my mathematical knowledge.
kindly watch this video on youtube -(examination in life and never give up mufti menk by merciful servant )
Thank you, very well explained :)
I am so excited to reach you on this page , CZcams videos helped me alot
please dude i subbed 2 you can you sub to criticalizor gaming it 's my channel
Really helpfull, hundred times easier than what my teacher explainded
Crystal clear 👌.. thank you so much sir..❤
Thank you so much for this video! It completely helped me to understand the concept better, and I appreciate that you used common terms and didn't hit us over the head with a bunch of crazy math mumbo-jumbo. I will probably be using your videos in the future for more math help!
I think I understand domain and range now..thank you so much
I appreciate your lessons on math and algebra, even if I am not a native language speaker. So my school results on these subjects were good. Excellent explanation keep it doing thank you
Thanks. You made this easy to understand.
This is so helpful more than what my teacher is teaching in class i really understand better here ...thank you sir
An excellent explanation 👍
Give us an explanation on the range as well.
thank you very much This video was very helpful and informative for me. I still didn't know what domain and range mean, but today after watching this video it became very easy to me
i need explanation about interval notation based on domain and range.
Thank you so much for the simplified and Explicit explanations.
Keep making Learning Fun.
Is the range for x^2 + 2 really "all real numbers" (as you state at 12:58) or is it "all real numbers greater than or equal to 2"?
Thanks alot! It was really easy to understand.
I like your way of teaching thank you so much for your help ❤ 😊 🙏
Thank you Tablet Class, Very Cool!
this helps us a lot, thank you.
In the second example of x^2+2, why is the range the set of all real number if we can get only positive answers? It is because in the domain we could put a complex number (x= (-3^(1/2))? If we define the domain as the set of all real numbers, then is the range still all the real numbers or just the positive ones?
The most simplified explanation
I honestly thank you for all this because I absolutely cannot do this myself
thanks for this! i had a hard time solving my assignment
So much better explained than my teacher
Always get confused between both of them Domain & range thanks a lot Pal
I am in school right now earning my last 60 credits in my Major Mathematics. My question is what books would you recommend to help me dive further into this field? I want to learn about fractal geometry and incompleteness theorems
Did you get any 😉😉
I came here one hour before my math test after my friend sent screenshots of the actual test.
Your friend is a real one
@@BeNothingg facts
Your speaking style dude 👌 awesome 👌 you are dude bro 😎
I appreciate this video so much and it is exactly how I like to teach domain, however, if you can please correct the fact that the range of the square root of x is all numbers greater than or equal to zero. If your function is the square root of x, it is asking for the principal root of x which is only positive outputs or zero. Great video though!!!
Thank you for this comment. I was confused by there being more than one possible outcome- I thought that was breaking the definition of a function- but now I understand.
There is an error in this video - the range of y=sqrt (x) is not all real numbers, it is only >=0. You are restricted to positive or 0 x-values and so you can only get positive or 0 y-values out of that. Looking at the graph of y=sqrt (x), you can also see that the range of great than or equal to 0.
yeah this is a very rude mistake, people are just praising him for the explanation, but he made a serious mistake which leaded me to misunderstandinig. He really sucks for this mistake. He need to delete this video assfuck
Wow ,that's a great explanation. I like it.
Great teaching!
great video, tho all I could think "what is a 'tackulator'" but I heard 'calculator' wrong lol
i’m taking a pretest for algebra 2 and completely forgot all this stuff💀
same, but I got algebra 2 honors
Very helpful in trying to assist my son. Thanks
Smart mom
realy good examples and very clear
Thank u sooo much it was soo easy to understand
thanks a lot i have enjoyed the lesson for real
Thank you so much for going over this. Very well explained. Quick question, why the range of X^2 + 2 is not equal to the set of real numbers greater or equal than 2? Since the square root of a real number will always be at least zero? zero +2 = 2.
Wtf this dude makes me laugh on his machine jokes
The best teacher thanks for sharing
You saved me.thankyou.
Can you explain more about me?non- uniform function
Excellent Sir good explanation to understand differences between domain and range
This video from 2006 is helping
Ya if. F(x) you should set it like this f (2) is representing the x in the parenthesis. Domine is a set of all numbers that you can input into your Data or machine. Nice explanation.
Thanks for your help sir 👍👍👍
Bro really saving lives for free
Very helpful video.
In the example before last the range should be just the potive numbers, yes?
thank you very much bro it helped me so much
for the example in 5:20, we were given 2 outputs. but from my understanding, there must always be 1 output only per input
can someone please explain? kinda confused right now
Hi. How can i draw a graph for a cube surface 6s and what is domain and range
I think you said the range of x squared + 2 is all real numbers but I don't think that's true. But I want to be sure because I've spent so much time on finding the range. It can't be all real numbers, right? Because -1 squared is 1. And so forth. So the lowest your range could possibly be is zero. Does that sound right or am I just misinterpreting something? Thank you for your help.
I have finals today, im cramming right now
may i ask what platform application you are using? just want to try it on my online class, thanks!
So, you just put any number u want, as long as it is appropriate in the situation?
I don’t understand is the number to the Y intercept the domain or the range?
I got a question can u make a video about all the definitions bc I'm trying to study for my GED I wrote everything u said down so I can use it to study your video helped me more then anything else did so thanks💙
Great video but I spot two mistakes let me know if you think I am wrong -- 12:59. T he range of f(x) = x^2 +2 is all real numbers? How would you ever get a negative value for Y? Also, the range of y = sqrt(x) which you mentioned earlier in the video is not all real numbers either. its all POSITIVE real numbers. II don't quite understand this myself. But just take a look at the graph of y = sqrt(x). You can see that the range is definitely only the positive real numbers. Good teaching style. I came to watch this to give me an idea of how I was going to teach domain and range to a student of mine and you definitely gave me some good ideas
AHh a commenter below totally said all this already albeit in much more concrete terms
Nice video. I dozed off 3 times
This is so fascinating
who's here because you googled it and the algorithm of CZcams gave you this video
I didn't do maths in high school..now I'm studying Information Technology at Varsity and I have no clue of functions ..infact anything to do with maths😭
Try Purplemath.com and Patrick JMT youtube videos
Jesus lol, I thought I was going to study Law now i'm studying International Business. This mathematics ting is beyond me lol
@@uruonyemaobi1950 how’s international business going for ya?
I subscribed your channel and i liked it
taking my hiset in 4 days, wish me luck (will report back with results)
I PASSED 13/20 1 week of study with this channel only.
Anyone reading this, you can do it! Just study grind 2-3 weeks before and you'll score high.
I'm 19yrs old, left HS as soon as a turned 16 because social anxiety and my area sucks
Bagsak yan haha
@@Griimnak congrats bruh
Thank you for the video! but I have one question. You said that square root of 16 is +4 and -4. But isn't it only +4?? How can it be also -4? 10:57