4:24 Great video, but you should've mentioned that the line for that parabola should actually be dotted since it's >0, not >=0. The Desmos graphing calculator confirms this.
Wow, I see our best explainer professor Dave here, I would like to say thank you our best professor in the world, just keep it up, and give our best new science and knowledge as you stated every subject.❤
The first comprehension is a bit difficult. The x-intercept is at -5. There are 2 asymptotes at x=-2 and x=2. The function curve is in 3 sections. I don't think there are any shortcuts to plotting a lot of values for x to be sure where the curves lie. I ended up plotting x = -10, -3, -2.1, -1.9, -1, 0, 1, 1.9, 2.1, 3 and 10. The 2nd comprehension is a bit easier. The x-intercept is at -1. Single asymptote at x=5. Function curve in 2 sections which you can estimate with a few points. I plotted x = -5, 0, 2, 4, 5, 6, 8 and 10. Wish I could draw graphs in a RUclips comment!
ruclips.net/video/2guxi1sqiuw/видео.html ruclips.net/video/9E8rUkuKC8Q/видео.html ruclips.net/video/drD7u-bxxQQ/видео.html ruclips.net/video/wUcyBO5zFqw/видео.html These videos might be useful if you never used desmos
So, with not giving up and repeating the clip, I finally figured it out. I know you might say it is actually pretty easy but for sure not until you know it. So, you have your example guys, keep it up and you'll get there.
SPOILERS!!! Minor detail: shouldn't the second Checking Comprehension question be written as x : (-1,5)? Still watching, still learning. Thanks Prof Dave!
a bit late but the equation is 2x + 2/x + 3 =0 "multiplying the denominator to both sides" means multiplying x + 3 (denominator) to the equation of 2x + 2/x + 3 and 0 so we get 2x + 2 *( x + 3)/x + 3 = 0 *(x + 3) which equals 2x + 2 = 0
![Seungmin "그렇게, 천천히, 우리(As we are)" | [Stray Kids : SKZ-PLAYER]](http://i.ytimg.com/vi/kAzmhLHePqU/mqdefault.jpg)
I was so confused in class, but now it all makes sense, thanks professor Dave!
Your videos are amazing... I'm finally understanding maths... Your all videos helping me get through College.... Thank you so much.
4:24 Great video, but you should've mentioned that the line for that parabola should actually be dotted since it's >0, not >=0. The Desmos graphing calculator confirms this.
Wow, I see our best explainer professor Dave here, I would like to say thank you our best professor in the world, just keep it up, and give our best new science and knowledge as you stated every subject.❤
Professor Dave values our time while we are learning.
Am appriciating your help professor Dave you are lendering to me by posting these educative videos God bless and see you through 🙏
The first comprehension is a bit difficult. The x-intercept is at -5. There are 2 asymptotes at x=-2 and x=2. The function curve is in 3 sections. I don't think there are any shortcuts to plotting a lot of values for x to be sure where the curves lie. I ended up plotting x = -10, -3, -2.1, -1.9, -1, 0, 1, 1.9, 2.1, 3 and 10. The 2nd comprehension is a bit easier. The x-intercept is at -1. Single asymptote at x=5. Function curve in 2 sections which you can estimate with a few points. I plotted x = -5, 0, 2, 4, 5, 6, 8 and 10. Wish I could draw graphs in a RUclips comment!
You can link your desmos project of the graph if you make one!
ruclips.net/video/2guxi1sqiuw/видео.html
ruclips.net/video/9E8rUkuKC8Q/видео.html
ruclips.net/video/drD7u-bxxQQ/видео.html
ruclips.net/video/wUcyBO5zFqw/видео.html
These videos might be useful if you never used desmos
thank you souch professor Dave..
God bless you more🙏❤️
Is there a book you wrote professor that contains all the content of the playlist??? Please answer
How do we simplify the sides at 2:47? Would you explain please? If we are simply subtracting here, how do we get signs like those at 2:47?
So, with not giving up and repeating the clip, I finally figured it out. I know you might say it is actually pretty easy but for sure not until you know it. So, you have your example guys, keep it up and you'll get there.
x + 5 x²-4 is (-♾,-5) U (-2, 2) and x + 1 x - 5 (-1,5)
SPOILERS!!!
Minor detail: shouldn't the second Checking Comprehension question be written as x : (-1,5)?
Still watching, still learning.
Thanks Prof Dave!
that's interval notation he has written. Not the zeros. Although in this case they're both.
@Proffessor dave do you know abt wavy curve method?
what does it mean when he says by multiplying the denominator on both sides ??? at 5:00
a bit late but the equation is 2x + 2/x + 3 =0
"multiplying the denominator to both sides" means multiplying x + 3 (denominator) to the equation of
2x + 2/x + 3 and 0
so we get 2x + 2 *( x + 3)/x + 3 = 0 *(x + 3)
which equals 2x + 2 = 0
Done.
Awesome explanation. What about if you can’t factor a rational polynomial?
Then you use the quadratic formula
❤❤❤
As a 13 year old why is this so easy
Keep on learning my friend! I remember also finishing up algebra II during your age. Also stay humble and good luck in you studies :)
@@MortalH Thank you! As of today, I have finished pre-calculus! I am going to start my journey in physics.