Domain and Range of Relations from a Graph

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  • Опубликовано: 12 дек 2024

Комментарии • 201

  • @DiegoGonzalez-jo2tw
    @DiegoGonzalez-jo2tw 8 лет назад +257

    Anyone else here because your teacher isn't doing their job ? :/

  • @tigolbiddies2088
    @tigolbiddies2088 6 лет назад +418

    I sped him up to 1.5 and it still sounded normal

  • @mauriciobeltre14
    @mauriciobeltre14 5 лет назад +218

    the domain for graph 1 is x is greater than -5, not 5

  • @arbazshakeel7381
    @arbazshakeel7381 5 лет назад +137

    How do u know which way the symbol goes

  • @arlethtorres7
    @arlethtorres7 10 лет назад +2

    this has honestly been more helpful than my algebra teacher.

  • @wendy2887
    @wendy2887 7 лет назад +31

    Isn't the first one x>-5 for the domain.

  • @flashmelody6920
    @flashmelody6920 8 лет назад +5

    Wow. I can't believe I made a 38 in Algebra a few years ago. It's actually surprisingly easy when you study lol I went back to college and I have a A in the class now

  • @Luckyheraclius89
    @Luckyheraclius89 6 лет назад +55

    First graph x > -5

  • @michaelstaschke9022
    @michaelstaschke9022 7 лет назад +10

    This video was so helpful, thank you for making it it tought me what the book was overcomplicating

  • @RealSlopeDude
    @RealSlopeDude 10 лет назад +1

    I loved your starting drawing. It could be used to make a mini-crossword puzzle. Thanks for sharing.

  • @amwin7
    @amwin7 9 лет назад +1

    please explain the "" signs im used to writing domain as (-5,infinity) and range as (8, negative infinity)

  • @MrHowardMath
    @MrHowardMath  11 лет назад

    For domain, if you have a LEFT end point meaning an open or closed circle your domain values (x-values) will be greater (open circle) or greater = (closed circle) the x-coordinate of the circle. If you have a RIGHT end point the domain values (x-values) will be less or less = that x-coord. For range, an end point at the BOTTOM/LOWER part of the graph your range y will be greater or greater = to that y-coord. An end point at the TOP means your range will be less or less= that y-coord. Make sense?

  • @pearlwatson3283
    @pearlwatson3283 6 лет назад +13

    Great examples, but could you use larger graph paper with numbers on the x and y axis?

  • @ivanrubiomorales1818
    @ivanrubiomorales1818 5 лет назад +72

    Now I remember

  • @MrHowardMath
    @MrHowardMath  11 лет назад

    No problem. Just list the individual x-coordinates for the domain and the individual y-coordinates for the range.

  • @allfatherodinsonthor6352
    @allfatherodinsonthor6352 7 лет назад +10

    can you please make a video to find out the domain and range of a function when the function is given and you first have to sketch the graph and then find the D And R using that graph...?
    please in great need...

  • @unhc2002
    @unhc2002 7 лет назад +5

    Very good video....I was able to help my son with his homework after watching.

  • @tracymai8918
    @tracymai8918 10 лет назад

    It's such a greatest video about Domain and Range ! It's help me a lots. Thanks for posting this :)

  • @smolderonscoop4490
    @smolderonscoop4490 10 лет назад

    Thank you! This video will greatly help me on my mid-term!

  • @saurav2563
    @saurav2563 8 лет назад +2

    mr math can you upload more videos on graphs with total explanation.plz

  • @MrHowardMath
    @MrHowardMath  11 лет назад

    Thank you for the question. It is possible. It looks like you would have a solid (filled in circle) at the point (3,-2) and an open circle at the point (-2,5). Let me know if you have any additional questions or need clarification on this answer.

  • @taintedbirdeoz3483
    @taintedbirdeoz3483 7 лет назад +15

    Thx My teacher was really lazy and she gave this as homework.Great Video

  • @alizehtaylor3031
    @alizehtaylor3031 8 лет назад +2

    For the graphs which has an arrow, how to decide which sign to use? A greater than or a less than?

    • @MrHowardMath
      @MrHowardMath  8 лет назад +3

      For range use > for values above and < for values below. For domain use > for values to the right and < for values to the left. Hope that helps.

  • @anunbajalan7605
    @anunbajalan7605 7 лет назад +10

    the domain of the first gragh is x>-5

  • @viancamedina4543
    @viancamedina4543 8 лет назад +2

    Thank you so much I had been struggeling so much with this and now I get it

    • @MrHowardMath
      @MrHowardMath  8 лет назад

      Thank you for the comment. I am happy to hear the video helped.

  • @hamishbryan5361
    @hamishbryan5361 10 лет назад

    Thank you so much for making this video. I haven't really checked yet, but do you have any videos on square roots and perfect squares? If so, that would be extremely helpful!

  • @kevinguzman5587
    @kevinguzman5587 7 лет назад +6

    At 4:50 can't I put Y E R or Y is equal to all real numbers

  • @MrHowardMath
    @MrHowardMath  11 лет назад

    I am happy it helped you! Thank you for the comment.

  • @mathematics4973
    @mathematics4973 8 лет назад +1

    Best video tutorial ever. Thank you.

    • @MrHowardMath
      @MrHowardMath  8 лет назад +1

      Thank you for the comment. I am happy the video helped.

  • @daltonmiller5590
    @daltonmiller5590 9 лет назад

    When do you use the inequality signs, I don't understand when you're supposed to use the inequality signs or how they work for functions on a graph.

  • @justinmiller3144
    @justinmiller3144 11 лет назад

    is it possible to have something like -2 < x _< 3 and -2 _< y < 5 ? if so, what would the circles look like?
    * _< indicates greater/less than or equal to

  • @RecoveringWeeb
    @RecoveringWeeb 8 лет назад +1

    Thanks!
    I have a question, if when finding the range it stops on the 4 on both sides would the solution be:
    {y| yER} ?

    • @MrHowardMath
      @MrHowardMath  8 лет назад

      Please provide some additional information so that I can help answer your question.

    • @RecoveringWeeb
      @RecoveringWeeb 8 лет назад

      I figured it out, thanks anyways though x3

    • @MrHowardMath
      @MrHowardMath  8 лет назад

      That is awesome! Great to hear you figured it out.

  • @yolandamiller1541
    @yolandamiller1541 9 лет назад

    Thank you so much for this video. Now I understand :) How do I go about looking for your other math videos?

  • @jportillo.3224
    @jportillo.3224 8 лет назад +1

    thanks Mr.Howard only one more question how do u get the least X or Y domain/range if it goes on for ever btw im in algebra 1

    • @jportillo.3224
      @jportillo.3224 8 лет назад

      Mr.Howard

    • @MrHowardMath
      @MrHowardMath  8 лет назад +1

      If it goes on forever in one direction you would x > than the left most x-coordinate or x < the right most x-coordinate depending on if it goes to positive or negative infinity. For range you use y > the lowest y-coordinate (going to positive infinity) or y < the highest y-coordinate if going to negative infinity. Hope that helps.

    • @jportillo.3224
      @jportillo.3224 8 лет назад

      +MrHowardMath thank u that did a lot

    • @jportillo.3224
      @jportillo.3224 8 лет назад

      +MrHowardMath Are you a math teacher

    • @MrHowardMath
      @MrHowardMath  8 лет назад

      Yes I am.

  • @giomendoza6906
    @giomendoza6906 8 лет назад +1

    thank you sooo Much mr. howard this will help me on our test

  • @ryn2924
    @ryn2924 9 лет назад

    Thank you! I was stuck on a question like this during a test and you explained that well! ^^

  • @zorro1o1MC
    @zorro1o1MC 11 лет назад

    What if there is a line with both sides with arrows would the:
    D: {xeR}
    R: {yeR}
    ?

  • @killerbirdgaming5203
    @killerbirdgaming5203 8 лет назад

    I wish you were my math teacher thank you this is sooooooooo easy

    • @MrHowardMath
      @MrHowardMath  8 лет назад

      +KillerBirdGaming Thank you for those kind words. I am happy the video helped.

  • @Daaakid
    @Daaakid 8 лет назад

    This video was absolutely phenomenal! Thank you so much!

    • @MrHowardMath
      @MrHowardMath  8 лет назад

      +Daakid Man Thank you for the comment. I am happy the video was helpful.

  • @SuperParadise21
    @SuperParadise21 9 лет назад

    Thank You Mr. HowardMath

  • @linty9498
    @linty9498 8 лет назад

    Hey Mr.Howard, just wondering how you would find two points that would go on to infinite that is a straight line

    • @MrHowardMath
      @MrHowardMath  8 лет назад

      Than you for asking a question. A line has a domain of all real numbers. The one exception would be a vertical line which has a domain only equal to the x-value of the vertical line itself. Lines have a range of all real numbers as well with the one exception being a horizontal line which has a range only equal to the y-value of the horizontal line itself. Hope that helps and let me know if you need more clarification.

  • @MrHowardMath
    @MrHowardMath  11 лет назад

    You will just list the x-coordinates of each point for the domain and list the y-coordinates for the range.

  • @pkroxs1
    @pkroxs1 10 лет назад

    For a linear graph... Can the domain and range have a resriction??

  • @christinaelder6655
    @christinaelder6655 11 лет назад

    What if you have a graph that has just points instead of a continous graph its a discrete graph? How do you find the domain and range for those types of graphs?

  • @shflycloud7838
    @shflycloud7838 9 лет назад +1

    How can I find out the range for a polynomial if I only have the function it selfor if they give me the domain of a function , how to calculate the Range?

    • @MrHowardMath
      @MrHowardMath  9 лет назад

      +Shfly cloud When working with the range of polynomials you will usually be focused on the end behavior. I have 3 videos discussing end behavior of polynomials and you can find those below.
      ruclips.net/video/oEP6g2l93Lg/видео.html
      ruclips.net/video/ZjOJQ_oHU5w/видео.html
      ruclips.net/video/4Byt-3nvPAo/видео.html

    • @rubenrivera681
      @rubenrivera681 9 лет назад

      +MrHowardMath Thank you very much sir! I got 100% plus 10 points extra credit as we weren't taught this yet, but I knew the course material and came here for help! :D Thank you! I'll be sure to help you in return by telling my classmates all about your channel if they need any help! Thank you! ^-^

    • @MrHowardMath
      @MrHowardMath  9 лет назад +1

      +Ruben Rivera Excellent Ruben! Keep up the good work.

    • @rubenrivera681
      @rubenrivera681 9 лет назад

      MrHowardMath I will sir! Thank you very much for your content!

  • @mulugetatsedal609
    @mulugetatsedal609 10 лет назад

    Is that the first graph Domain is greater than negative -5 ?

  • @MrHowardMath
    @MrHowardMath  11 лет назад

    Let me know exactly which part you are still having trouble with and I will try to help.

  • @noobCoder0909
    @noobCoder0909 8 лет назад

    sir please make a video to solve functions using graph....your videos are to much easy and pellucid to understand the concepts...plz reply sir

    • @MrHowardMath
      @MrHowardMath  8 лет назад +1

      +Abhishek Tripathi Thank you for the comment. I cover this topic in the following video ruclips.net/video/3mkSYyb9oIA/видео.html and the topic you are looking for starts around 13:40 in.
      Let me know if that helps or if you were looking for something different.

    • @noobCoder0909
      @noobCoder0909 8 лет назад

      +MrHowardMath thank you sir.

  • @wendyking6919
    @wendyking6919 9 лет назад

    I need to find out what is the range or image of a domain and what letter is used to represant the domain

  • @missinginaction7155
    @missinginaction7155 6 лет назад +7

    How to determine the interval notation from those graph?

  • @khayliahmorgan5286
    @khayliahmorgan5286 8 лет назад +1

    this was actually very helpful to me. thank you

    • @MrHowardMath
      @MrHowardMath  8 лет назад

      Excellent! Thank you for the comment.

  • @wystrix439
    @wystrix439 6 лет назад +86

    Y'all in 8th?

  • @skylan1000
    @skylan1000 11 лет назад

    Do you know how to find the domain and range of a shape on a graph? im having trouble with that..

  • @davidhuynh3393
    @davidhuynh3393 9 лет назад

    WOW! GREAT VIDEO AND THANKS FOR THE LIFE-SAVER TOPIC FOR MY DAY! I have one question; when do you ever use this sign: > or even a line underneath the sign?

    • @MrHowardMath
      @MrHowardMath  9 лет назад

      +David Huynh Thank you for the comment. You use the > sign if the values are to the right for domain or above for range. You put the line underneath the symbol when you have a filled dot at that coordinate as opposed to an open dot where you would not put the line underneath the symbol. I hope that helps.

  • @luisdisla2038
    @luisdisla2038 10 лет назад

    thank you very much helped me with my homework

  • @XtacoproblemsX
    @XtacoproblemsX 11 лет назад

    thanks Mr Howard, this was a great explanation!

  • @TheUlquiorra444
    @TheUlquiorra444 8 лет назад

    Why is the first one < or equal to 6 when the graph terminates at 6. Shouldnt it be greater than or equal to 6

  • @akshatbedekar778
    @akshatbedekar778 8 лет назад

    In your 1st graph how would we write it in the form of x belongs to then minus plus infinity etc

    • @MrHowardMath
      @MrHowardMath  8 лет назад

      Sorry for the delay. I just saw your comment. If you are referring to interval notation you could write the domain as (-5, infinity). Let me know if that does not answer your question.

  • @rotsenpuriran778
    @rotsenpuriran778 11 лет назад

    How do you know if the x or y is greater or lesser?

  • @iftekmahmud
    @iftekmahmud 10 лет назад

    I don't get the first answer. Wouldn't the domain be x > -5? Reply.

  • @JadeSmashU
    @JadeSmashU 10 лет назад

    If both ends are arrows, wont it go on forever as the domain? But, what would be the range?

    • @rubenrivera681
      @rubenrivera681 9 лет назад

      Maybe -infinity to +infinity?

    • @rubenrivera681
      @rubenrivera681 9 лет назад

      I think it would be, but I'm only in 6th grade... so yeah, I think I'm pretty over accelerated in math for someone at my age though :P

    • @JadeSmashU
      @JadeSmashU 9 лет назад

      I was taking Algebra I in 7th grade and I was just confused. Thank you though!

    • @rubenrivera681
      @rubenrivera681 9 лет назад

      Jade SmashU Yw :)

  • @mosses570
    @mosses570 9 лет назад

    Excellent!!. Thanks for your time.

  • @GatorSSB
    @GatorSSB 8 лет назад +3

    Thanks, this was really helpful.

    • @MrHowardMath
      @MrHowardMath  8 лет назад +1

      Excellent. I am happy the video helped.

  • @NikeWarrior23
    @NikeWarrior23 7 лет назад +2

    Wow I finally get this!! Thank you! But what's the difference when there's a lot more lines I guess in the graph

  • @nadamenos32
    @nadamenos32 8 лет назад +1

    why do you put greater than and not less than since it's a negative coordinate

    • @MrHowardMath
      @MrHowardMath  8 лет назад +1

      The sign of the coordinate involved does not affect the inequality symbol that you use. Hope that helps.

  • @deathxdestroyer
    @deathxdestroyer 9 лет назад

    for the 4th problem what would it be if the circles were open instead of closed?

    • @MrHowardMath
      @MrHowardMath  9 лет назад

      +deathxdestroyer This would only change the symbols so Domain -7

  • @Moofsterr
    @Moofsterr 7 лет назад +10

    I dont understand can someone please explain?

  • @Ra-tu8rj
    @Ra-tu8rj 8 лет назад +1

    Thank you very much! Your explanation is super clear!!

    • @MrHowardMath
      @MrHowardMath  8 лет назад

      Thank you for the comment. I am happy the video was helpful.

    • @kennedysmith8570
      @kennedysmith8570 8 лет назад

      MrHowardMath okay i have a question. what do i do when the line on the graph is in a v pointing downwards but the ends of the lines are infinite?

  • @samheeta
    @samheeta 9 лет назад

    If the line contains one open hole and one closed hole, is it still a function?

    • @MrHowardMath
      @MrHowardMath  9 лет назад

      +Samheeta Mistry Yes. If it is a line then it is a function as long as it isn't a vertical line. As long as any relation passes the vertical line test then it is a function. Another way to say this is that as long as no x-coordinates repeat with different y-coordinates then it is a function. Hope that helps.

  • @shaktidart2666
    @shaktidart2666 9 лет назад

    How do you know which way the inequality faces?

  • @iamowifejosh179
    @iamowifejosh179 8 лет назад +4

    I don't get how to write domain and range

  • @irem-td9op
    @irem-td9op 8 лет назад +3

    Um wouldn't the first one be -5?

    • @MrHowardMath
      @MrHowardMath  8 лет назад +2

      You are correct. Note is in description of video.

  • @mustafarashad7353
    @mustafarashad7353 9 лет назад

    Thank you very much it helped me a lot.

  • @fahad5998
    @fahad5998 8 лет назад

    Great video.Thanks.Helped me a lot.

    • @MrHowardMath
      @MrHowardMath  8 лет назад

      Excellent! Thank you for the comment.

  • @caalincade3010
    @caalincade3010 10 лет назад

    it really helped me, Thank you so much

  • @rcpanda343
    @rcpanda343 9 лет назад

    I wish there was a example with a never ending amount for either because that is what I'm having problems with.

  • @weyheys
    @weyheys 8 лет назад

    Youre amazing thank you for saving my marks

    • @MrHowardMath
      @MrHowardMath  8 лет назад

      +Reena Ram Happy to hear the video helped. Thank you for the comment.

  • @gohanwanabe
    @gohanwanabe 8 лет назад +5

    Isn't it supposed to be x>-5

    • @paulinaestrada3034
      @paulinaestrada3034 8 лет назад +1

      gohan wanabe that's what I was thinking too 🤔💗

  • @speny3091
    @speny3091 6 лет назад +27

    confusing but good work

  • @simran_kaur963
    @simran_kaur963 8 лет назад +1

    i just seen half video and i got it good haa

  • @bridgetjimenez5920
    @bridgetjimenez5920 8 лет назад

    I have a test tomorrow but my graphs don't have open or closed circles at the end ????

    • @MrHowardMath
      @MrHowardMath  8 лет назад

      If the graph stops at a specific point then that is the same as a filled in circle at that point. If the graph has arrow heads then it goes to either positive or negative infinity in the direction the arrow head points. Hope that helps.

  • @wentwxrthh_
    @wentwxrthh_ 6 лет назад +13

    Helped so much thank you

  • @anakatrina3691
    @anakatrina3691 10 лет назад +1

    good!,..nice explanation!,.,.. MrHowardMath :D

  • @crazyasiandyo
    @crazyasiandyo 10 лет назад

    For the first graph, why isn't it -5?

  • @MrBulat1990
    @MrBulat1990 10 лет назад

    Can't you write the answer with brackets or parentheses instead of the inequality signs

  • @jacobgivens6690
    @jacobgivens6690 7 лет назад +2

    Thanks from Washington

  • @cacheada8
    @cacheada8 8 лет назад

    Hi Mr. Math! I would like to know the purpose to know this stuff? I meant... I am over 40 years old and never ever saw anyone applying this in real life. I am learning this because I am living in Canada and I need to know this to take a Practical Nurse program.

    • @MrHowardMath
      @MrHowardMath  8 лет назад +1

      That is a complex question and I will do my best to answer honestly. 1) Domain and range are basic building blocks of functions which are used constantly in our world even though we may not recognize or realize it. The amazing technological advances and medical breakthroughs of our lifetime would not have been possible without those responsible for these breakthroughs learning to apply mathematics in school. 2) Math helps build our brains ability to solve problems like lifting weights helps build our muscles. 3) Math in general is part of a well rounded education. My opinion is that a well rounded education allows us all to go into many different and diverse careers. Some of my students may have jobs in their future that are heavily math based while others may need to rely heavily on the communication skills learned in a language class. Others may become nurses where biology might be the most relevant high school subject for them. We need to prepare students for a wide variety of topics and challenges they may face. I am confident that while you may not have to identify domain and range values directly as a nurse you will certainly use math (determining dosages, IV drip ratios etc.). I hope that is a reasonable answer and thank you for the question. Best of luck to you as you continue your Practical Nurse Program and thank you for watching my videos.

  • @daltonmiller5590
    @daltonmiller5590 9 лет назад +2

    I'M SO CONFUSED!!! D;

  • @michaelstaschke9022
    @michaelstaschke9022 7 лет назад +5

    Good, very good ,very good video

  • @MrJuliana1097
    @MrJuliana1097 9 лет назад +1

    Isn't the first one x>-5 instead of x>5?

    • @MrHowardMath
      @MrHowardMath  9 лет назад +1

      +Juliana Araque You are correct. Video has a caption correcting this and I added an update to the description as well. Thanks for watching.

    • @rubenrivera681
      @rubenrivera681 9 лет назад

      I know right?

  • @nugusukasa734
    @nugusukasa734 7 лет назад +3

    vidoe real helped me understand

    • @MrHowardMath
      @MrHowardMath  7 лет назад +3

      Excellent. Thank you for the comment.

  • @daniahabo8878
    @daniahabo8878 10 лет назад

    Now i get it!!!thank you!!!

  • @shifatmahmud7996
    @shifatmahmud7996 9 лет назад

    lol he forgot to add x > -5 instead he put x > 5 XD but anyways nice video its kinda helped me out because i have a test on friday and i dont wanna fail

    • @MrHowardMath
      @MrHowardMath  9 лет назад

      +Shifat Mahmud It is great that the video helped and great that you noticed the mistake. That means you know the material. Awesome!

  • @Erw1n
    @Erw1n 8 лет назад +1

    what if there is no end points?

    • @MrHowardMath
      @MrHowardMath  8 лет назад +1

      If the graph stops at a specific point then that is the same as a filled in circle at that point. If the graph has arrow heads then it goes to either positive or negative infinity in the direction the arrow head points. Hope that helps.

  • @pino_559
    @pino_559 8 лет назад +1

    Thanks helped me Alot!!!!!!!!!!!!

    • @MrHowardMath
      @MrHowardMath  8 лет назад

      Happy the video helped! Thank you for the comment.

    • @19Dimensions
      @19Dimensions 8 лет назад

      dude, thank you so much, i cannot tell you how thankful i am.

  • @gameshelpmeescapelife8445
    @gameshelpmeescapelife8445 7 лет назад +3

    good video

  • @islamispeace366
    @islamispeace366 8 лет назад +1

    Sir, u forgot to put a negative on five?

    • @MrHowardMath
      @MrHowardMath  8 лет назад +1

      You are correct. Note is in description of video.

  • @jonathanbecerra1853
    @jonathanbecerra1853 8 лет назад

    Who's here for ms monge????

  • @MrHowardMath
    @MrHowardMath  11 лет назад

    Excellent!

  • @DestinyD
    @DestinyD 9 лет назад

    Did you make a mistake in the second problem?