Who came here because theres a test tommorow and your teacher doesnt know how to teach

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.

My teacher: 复制和粘贴 This guy: 1+1=2

"If you're watching this video, you're probably in Algebra 1" Me taking Algebra 2: 👁️👄👁️

why cant youtube teachers come and teach at schools 😭 scl teachers are shiiiitttt . this video is soo goood ughh.

Came here because I don't understand my teacher. :/

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!

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!!!!!

Excellent explanation. Thank you for it. Million times clearer than my son's math textbook!

Thank you very much. I've been trying to understand this for sometime now but once I watched this video, all question were answered.

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

Thank you. This is the most helpful, basic video on this subject I have found.

Set playback speed to 1.25. You can thank me later

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❤️❤️

First 4 minutes and I finally understood it. You made it too easy to understand. Thank you.

** 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.

When u couldnt get into zoom but u have a test and didnt learn this 😄✌

Thanks to you I passed my math GED!!! All i did is followed your lessons on you website! Thank you so much!!!!!! Great teacher!!

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!

Thankyou for your videos man! About to take my exam one, and you have helped alot!

hi, that was an excellent way to explain it, it even helps to understand some precalc material, thanks very much.

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.

Thanks so much, I was struggling with this

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"?

Thank you, very well explained :)

Great explanation. thank you so much for uploading this video

i need explanation about interval notation based on domain and range.

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?

An excellent explanation 👍 Give us an explanation on the range as well.

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

Thanks alot! It was really easy to understand.

thanks a lot! my teacher didn't explain this well so I'm glad I found this video

Wow, what a great lesson! really thank you. I have never been as happy about a video on KZfaq for a while. You deserve a big subscribe !

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

I am so excited to reach you on this page , KZfaq videos helped me alot

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

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

Crystal clear 👌.. thank you so much sir..❤

Hi. How can i draw a graph for a cube surface 6s and what is domain and range

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!

Thanks. You made this easy to understand.

Thank you Tablet Class, Very Cool!

You saved me my teacher is so terrible and you just made it so easy to understand thank you so much

Really helpfull, hundred times easier than what my teacher explainded

In the example before last the range should be just the potive numbers, yes?

Thank you, Thank you, Thank you. Fantastic way to make a old man like me understand.

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

I like your way of teaching thank you so much for your help ❤ 😊 🙏

So, you just put any number u want, as long as it is appropriate in the situation?

may i ask what platform application you are using? just want to try it on my online class, thanks!

I think I understand domain and range now..thank you so much

this helps us a lot, thank you.

This is so helpful more than what my teacher is teaching in class i really understand better here ...thank you sir

Domain and Range for whatever reason is the bane of my mathematical knowledge.

thanks for this! i had a hard time solving my assignment

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

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 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!!!

I came here one hour before my math test after my friend sent screenshots of the actual test.

I don’t understand is the number to the Y intercept the domain or the range?

I honestly thank you for all this because I absolutely cannot do this myself

How did you get that 16? And +4 and -4

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.

Your speaking style dude 👌 awesome 👌 you are dude bro 😎

Always get confused between both of them Domain & range thanks a lot Pal

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💙

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.

This was so helpful thank you!!!

great video, tho all I could think "what is a 'tackulator'" but I heard 'calculator' wrong lol

Wow ,that's a great explanation. I like it.

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.

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

Can you explain more about me?non- uniform function

Excellent Sir good explanation to understand differences between domain and range

You saved me.thankyou.

Thank you so much for the simplified and Explicit explanations. Keep making Learning Fun.

Not sure if someone already asked this bc i don't want to scroll through all of them, but i got to the second "machine" example and got very confused bc the square root of -9 is 3i. How is that not an answer? Maybe i need to finish the video first, sorry.

why is f(x) = √x a function when it produces 2 ranges? I thought domains that produces two answers aren't considered a function

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😭

Sir In which cases domains and ranges are same

Great teaching!

Very helpful in trying to assist my son. Thanks

is anyone here because your teacher did not teach you your homework

So we can replace the value of x with any number that can be real number ??

Thank u sooo much it was soo easy to understand

At 12:59 wouldnt the range be all POSITIVE real values and not all real values since it is squared with a plus answer wil always be positive

i’m taking a pretest for algebra 2 and completely forgot all this stuff💀

thanks a lot i have enjoyed the lesson for real

thank you very much bro it helped me so much

taking my hiset in 4 days, wish me luck (will report back with results)

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.

So much better explained than my teacher

The best teacher thanks for sharing

realy good examples and very clear

what software do you use for this presentation?

What do you mean that you get a a +4 -4 answer

This is one of the basic of math which I'm going crazy till now. I do understand most of the succeeding topics but but..not this one.

Wtf this dude makes me laugh on his machine jokes

This is so fascinating

Thanks for your help sir 👍👍👍