Solving and Graphing Polynomial and Rational Inequalities

We've already introduced the concept of the inequality, but let's take it to the next level. We need to be able to solve and graph inequalities that involve rational functions, as well as functions with two variables. Check it out!
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Пікірлер: 25

  • @neurodivergentsophie8411
    @neurodivergentsophie84114 жыл бұрын

    I was so confused in class, but now it all makes sense, thanks professor Dave!

  • @maimunaalam3937
    @maimunaalam39375 жыл бұрын

    Your videos are amazing... I'm finally understanding maths... Your all videos helping me get through College.... Thank you so much.

  • @phirikangwa263
    @phirikangwa2633 жыл бұрын

    Am appriciating your help professor Dave you are lendering to me by posting these educative videos God bless and see you through 🙏

  • @DigitalLibraryofEducations
    @DigitalLibraryofEducations4 жыл бұрын

    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.❤

  • @edelynvalenzuela6854
    @edelynvalenzuela68543 жыл бұрын

    thank you souch professor Dave.. God bless you more🙏❤️

  • @ComputerCurry
    @ComputerCurry2 жыл бұрын

    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.

  • @NickHope
    @NickHope2 жыл бұрын

    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 KZread comment!

  • @n.v.n.prasad132

    @n.v.n.prasad132

    Жыл бұрын

    You can link your desmos project of the graph if you make one!

  • @n.v.n.prasad132

    @n.v.n.prasad132

    Жыл бұрын

    kzread.info/dash/bejne/ZJup2stqo9TPpdo.html kzread.info/dash/bejne/a3ls1Lekpa6paLQ.html kzread.info/dash/bejne/lqZ4mddmktvegbQ.html kzread.info/dash/bejne/qYmX26SIZd2sodo.html These videos might be useful if you never used desmos

  • @metayoutubeacademy
    @metayoutubeacademy2 жыл бұрын

    Professor Dave values our time while we are learning.

  • @aminnima6145
    @aminnima61453 жыл бұрын

    Is there a book you wrote professor that contains all the content of the playlist??? Please answer

  • @shoyammishra5986
    @shoyammishra5986 Жыл бұрын

    @Proffessor dave do you know abt wavy curve method?

  • @siavashdanai7814
    @siavashdanai78143 жыл бұрын

    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?

  • @siavashdanai7814

    @siavashdanai7814

    3 жыл бұрын

    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.

  • @ignacioleikis1784
    @ignacioleikis17842 жыл бұрын

    SPOILERS!!! Minor detail: shouldn't the second Checking Comprehension question be written as x : (-1,5)? Still watching, still learning. Thanks Prof Dave!

  • @cedric182

    @cedric182

    Жыл бұрын

    that's interval notation he has written. Not the zeros. Although in this case they're both.

  • @brenazelda224
    @brenazelda224 Жыл бұрын

    x + 5 x²-4 is (-♾,-5) U (-2, 2) and x + 1 x - 5 (-1,5)

  • @muhammadaunsiddiqui5933
    @muhammadaunsiddiqui593311 ай бұрын

    what does it mean when he says by multiplying the denominator on both sides ??? at 5:00

  • @camjack1221

    @camjack1221

    9 ай бұрын

    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

  • @tGoldenPhoenix
    @tGoldenPhoenix2 жыл бұрын

    Done.

  • @JfaJosephR9
    @JfaJosephR94 жыл бұрын

    Awesome explanation. What about if you can’t factor a rational polynomial?

  • @erikawimmer7908

    @erikawimmer7908

    3 жыл бұрын

    Then you use the quadratic formula

  • @Jojanimates
    @JojanimatesАй бұрын

    As a 13 year old why is this so easy

  • @MortalH

    @MortalH

    18 күн бұрын

    Keep on learning my friend! I remember also finishing up algebra II during your age. Also stay humble and good luck in you studies :)

  • @Jojanimates

    @Jojanimates

    17 күн бұрын

    @@MortalH Thank you! As of today, I have finished pre-calculus! I am going to start my journey in physics.