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.
Sometimes your prejudice for your teachers affects your attitude and attention inside the class. RU-vidrs 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.
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!!!!!
** 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.
@@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 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 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!
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
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❤️❤️
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
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
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
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.
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 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
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 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
sqrt(16) = + 4, period. If f(x) = sqrt(x) then sqrt(x) can only have one value! That's the whole point of calling f(x) a function. If you have x^2 = 16 then x could be +/- 4 (which is equal to +/- sqrt(16) ). The range of f(x) = sqrt[x] is [0, infinity) and it's domain is likewise, [0, infinity). The domain of g(x) = sqrt[x^2] is ( - infinity, infinity) but it's range is restricted, [0, infinity). The distinction is subtle but important. You'll never get a negative number by taking the square root of a positive number; and you'll also never get a real number by taking the square root of a negative number.
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
The Domain is the set of all possible input values. The Range is the set of output values. That is it! Understand that and you understand the terms Domain and Range.
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😭
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.
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
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?
I am afraid under root of 16 is not +4 and -4 as you have explained. It will just be +4. It is a different matter that if a square of a variable is 16, then the variable can be 4 or -4. The two concepts are different. The under root of no number in the realm of real numbers can be negative ... May kindly take note
