Find the value makes a piecewise function continuous with system of equations

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  • Опубликовано: 7 янв 2025
  • 👉 Learn how to find the value that makes a function continuos. A function is said to be continous if two conditions are met. They are: the limit of the function exist and that the value of the function at the point of continuity is defined and is equal to the limit of the function.
    To find the value that makes a function continous we evaluate the right limit, the left limit and the value of the function at the point of discontinuity and then equate the values. We then solve any resulting equation to obtain the desired value that makes the function continuos.
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Комментарии • 77

  • @starsick_
    @starsick_ 4 года назад +29

    it's literally 20 minutes from my ap calc test bless your soul for having the youtube-panic-search titles and then explaining it in the simplest way known to mankind

  • @waqasazmat81
    @waqasazmat81 7 лет назад +55

    Brian M, thank you so much for taking your time out and posting videos like these. I was struggling with my homework problem like this and you explained it very well! Once again thank you so much!

    • @brianmclogan
      @brianmclogan  7 лет назад +5

      you are very welcome! happy to be able to help you out!

  • @kazimtaqi
    @kazimtaqi 2 года назад +4

    Spent an hour on a hw problem and finally figured it out after you're incredible explanation. Thank you so much!

  • @sccm100
    @sccm100 7 лет назад +38

    This is the exact problem that I was struggling with doing my homework. Thank you!

    • @brianmclogan
      @brianmclogan  7 лет назад +4

      you are very welcome! happy to help

  • @caper833
    @caper833 11 месяцев назад

    I am watching this after 7 years and I’ve watched a couple of your other videos and I appreciate you dearly for uploading them!!! They have helped me a ton!

  • @sarabishop4958
    @sarabishop4958 5 лет назад +9

    I know this was posted about 3 years ago, but THANK YOU! You are gonna be the reason I am able to get my degree haha

  • @Amber-nf5gl
    @Amber-nf5gl 7 лет назад +186

    poor edward

  • @kaii4747
    @kaii4747 6 лет назад +86

    RIP Edward, but good job

  • @davidarden6942
    @davidarden6942 5 лет назад +4

    This is a awesome video, I had a calculus professor that explained this and he was great! but it didn’t click with me until now. Everyone hated piecewise functions in that class including myself, but looking at it now it’s a pretty simple concept. Thanks for explaining,

  • @gpetty599
    @gpetty599 4 года назад +3

    college student here struggling w calc. I just realized what I did wrong on my quiz lol, but thank you! I would’ve been lost had these videos never been here.

  • @ketofitforlife2917
    @ketofitforlife2917 4 года назад +1

    Shean here, Brian that explanation was PERFECT! Thanks. I just shared that with one of my students.

  • @raulsankhe9746
    @raulsankhe9746 4 года назад +3

    You are an amazing man! You've taught so many students and explained so many concepts! Keep doing what you are doing and inspiring others!

  • @no-maan1020
    @no-maan1020 5 лет назад +1

    First i th8 i am poor at mathematics .
    But now u r changing my mind.
    Good work!

  • @Amber-nf5gl
    @Amber-nf5gl 7 лет назад +54

    Stop randomly calling on kids. However, thank you for helping me.

  • @gyoseph8679
    @gyoseph8679 4 года назад +1

    Watching this 2020, thank you very much!

  • @안녕사랑해안녕
    @안녕사랑해안녕 4 года назад +1

    wow thank you your explanation makes everything so clear

  • @hudsonmueller3501
    @hudsonmueller3501 3 года назад

    I haven’t paid this guy a cent but he’s still far and away better than my tuition paid college professor

  • @josedomitilo805
    @josedomitilo805 7 лет назад +1

    Thank you Mr. McLogan. My teacher never went over this for HW.

  • @TyTheGuy115
    @TyTheGuy115 2 года назад

    Mr mclogan comes to the rescue again

  • @omprakashsen7208
    @omprakashsen7208 Год назад

    You're best teacher sir😊

  • @bosco3243
    @bosco3243 3 года назад

    UR A LEGEND!!!!! KEEP DOING WOT UR DOING!!!!!

  • @wexer82
    @wexer82 7 лет назад +5

    Thanks, this really helped me.

  • @icosmicv
    @icosmicv 3 года назад

    wish i wouldve watched this before my exam but at least now i know how to solve it with two variables

  • @minapoppas7431
    @minapoppas7431 6 лет назад

    you are a wonderful math teacher, Thankyou!

  • @Yoshokie
    @Yoshokie 7 лет назад

    Seriously, thank you so much! I was sooooo confused on how to workout problems like this and you helped me understand!

  • @jorgesolano-ramirez8687
    @jorgesolano-ramirez8687 7 лет назад

    I was confused on how to do these types of problems. Thanks for clearing it up!!! :D

    • @brianmclogan
      @brianmclogan  7 лет назад

      you are very welcome!

    • @JashXD
      @JashXD 2 года назад

      @@brianmclogan Can’t you just take the equation of the line that passes through (-1,2) and (3,-2) and you get y=1-x without doing all the limits and stuff

  • @arjansingh8289
    @arjansingh8289 4 года назад

    Thank you this helped a lot

  • @josecazares2191
    @josecazares2191 7 лет назад

    So clear and detailed! Thanks

  • @AJ-vj8pm
    @AJ-vj8pm 5 лет назад

    Hello Brian,
    Thank you so very much for these videos, they are a lifesaver. Can you please post a video about Theorem 1 for Continuous Functions?
    Also, this particular video has a very low volume.

  • @andrewdavis6687
    @andrewdavis6687 5 лет назад

    the hero we need

  • @AniRamadoss
    @AniRamadoss 6 лет назад

    thank you for your help!

  • @bufaresq8
    @bufaresq8 4 года назад

    Man I love you

  • @reubenwilliammpembe667
    @reubenwilliammpembe667 7 лет назад +1

    thank you Sir #Respect

  • @zacsisolak
    @zacsisolak 4 года назад

    appreciate it teach

  • @meganzhang9448
    @meganzhang9448 6 лет назад +2

    THANK YOU SO MUCH

  • @farhanalam7642
    @farhanalam7642 7 лет назад

    thanks

  • @nicolewade4253
    @nicolewade4253 2 года назад

    This is going to sound really stupid so I’m apologizing in advance… how did you choose to plug 2 into the X is less than or equal to -1? The way my mind is understands it is I need to plug in something that is approaching -1 from the left for it to fit in the X is less than or equal to -1

  • @kaileejanae8956
    @kaileejanae8956 6 лет назад

    This helped me soooo much, thank you! :)

  • @Orlando-vz2pe
    @Orlando-vz2pe 7 лет назад

    hi thank you! this video help for a similar problem, but im still stuck on another that is similar. can you please help on it? its almost the same but instead its f(x)={ tan(pix/4), lxl

    • @brianmclogan
      @brianmclogan  7 лет назад

      sorry I am only able to focus on what I am currently teaching

  • @tjizaurutoromba6750
    @tjizaurutoromba6750 7 лет назад

    Very clear and good explanation; but please verify that mistake a=2 and b=4... Thank You...

  • @PremiumHowTo
    @PremiumHowTo 4 года назад

    Can we get Fs in the chat for edward

  • @chasehughes3706
    @chasehughes3706 6 лет назад

    I was with you until you started subtracting equations

    • @brianmclogan
      @brianmclogan  6 лет назад

      if you want the function to be continuous you need to set the equations equal to one another

  • @anysianas5099
    @anysianas5099 5 лет назад

    Knowing that you’re going to record prepare in advance instead of showing signs of doubt it looks like you don’t know what you’re doing.

  • @EdomusVR
    @EdomusVR 6 лет назад +1

    Still lost ....

  • @vjvijander3130
    @vjvijander3130 6 лет назад +1

    Getting bore

  • @nolimitking972
    @nolimitking972 3 года назад

    Thank you so much