Domain and Range of Relations from a Graph
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- เผยแพร่เมื่อ 22 ธ.ค. 2024
- We discuss how to identify and write the domain and range of relations from a graph. Follow Mr. Howard on twitter @MrHowardMath.
***NOTE Example 1 is x greater than -5 for domain and not x greater than 5 as listed. I said negative 5 which is correct but wrote positive 5 :)****
Below are a few other videos that are related.
Inequality Basics (watch this if you are confused on what the inequality symbols mean)
• Inequality Basics Part 1
Domain Range Discrete Continuous Basics (This video discusses basics of domain and range including differences between continuous and discrete data)
• Algebra 1 Domain Range...
Domain and Range Changes after Transformations (This video discusses domain and range of various parent functions and how the domain and range are affected by shifts)
• Domain and Range Chang...
Anyone else here because your teacher isn't doing their job ? :/
me
I sped him up to 1.5 and it still sounded normal
the domain for graph 1 is x is greater than -5, not 5
How do u know which way the symbol goes
this has honestly been more helpful than my algebra teacher.
Isn't the first one x>-5 for the domain.
Yeah that’s what is correct I guess. It’s like a small error there.
Wendy Wang yes it is
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
This video was so helpful, thank you for making it it tought me what the book was overcomplicating
please explain the "" signs im used to writing domain as (-5,infinity) and range as (8, negative infinity)
Great examples, but could you use larger graph paper with numbers on the x and y axis?
mr math can you upload more videos on graphs with total explanation.plz
It's such a greatest video about Domain and Range ! It's help me a lots. Thanks for posting this :)
For the graphs which has an arrow, how to decide which sign to use? A greater than or a less than?
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.
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...
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
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?
Very good video....I was able to help my son with his homework after watching.
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.
First graph x > -5
Of course
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!
I loved your starting drawing. It could be used to make a mini-crossword puzzle. Thanks for sharing.
Thanks!
I have a question, if when finding the range it stops on the 4 on both sides would the solution be:
{y| yER} ?
Please provide some additional information so that I can help answer your question.
I figured it out, thanks anyways though x3
That is awesome! Great to hear you figured it out.
For a linear graph... Can the domain and range have a resriction??
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
Mr.Howard
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.
+MrHowardMath thank u that did a lot
+MrHowardMath Are you a math teacher
Yes I am.
What if there is a line with both sides with arrows would the:
D: {xeR}
R: {yeR}
?
At 4:50 can't I put Y E R or Y is equal to all real numbers
Hey Mr.Howard, just wondering how you would find two points that would go on to infinite that is a straight line
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.
Now I remember
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?
+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.
th-cam.com/video/oEP6g2l93Lg/w-d-xo.html
th-cam.com/video/ZjOJQ_oHU5w/w-d-xo.html
th-cam.com/video/4Byt-3nvPAo/w-d-xo.html
+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! ^-^
+Ruben Rivera Excellent Ruben! Keep up the good work.
MrHowardMath I will sir! Thank you very much for your content!
I need to find out what is the range or image of a domain and what letter is used to represant the domain
Thank you so much for this video. Now I understand :) How do I go about looking for your other math videos?
I am happy it helped you! Thank you for the comment.
Do you know how to find the domain and range of a shape on a graph? im having trouble with that..
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?
In your 1st graph how would we write it in the form of x belongs to then minus plus infinity etc
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.
Is that the first graph Domain is greater than negative -5 ?
Thx My teacher was really lazy and she gave this as homework.Great Video
Tainted Birdeoz mine too
Thank you! This video will greatly help me on my mid-term!
How to determine the interval notation from those graph?
How do you know which way the inequality faces?
Thank you so much I had been struggeling so much with this and now I get it
Thank you for the comment. I am happy to hear the video helped.
How do you know if the x or y is greater or lesser?
Why is the first one < or equal to 6 when the graph terminates at 6. Shouldnt it be greater than or equal to 6
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.
for the 4th problem what would it be if the circles were open instead of closed?
+deathxdestroyer This would only change the symbols so Domain -7
If the line contains one open hole and one closed hole, is it still a function?
+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.
I don't get how to write domain and range
thank you sooo Much mr. howard this will help me on our test
Best video tutorial ever. Thank you.
Thank you for the comment. I am happy the video helped.
If both ends are arrows, wont it go on forever as the domain? But, what would be the range?
Maybe -infinity to +infinity?
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
I was taking Algebra I in 7th grade and I was just confused. Thank you though!
Jade SmashU Yw :)
the domain of the first gragh is x>-5
Thank you! I was stuck on a question like this during a test and you explained that well! ^^
why do you put greater than and not less than since it's a negative coordinate
The sign of the coordinate involved does not affect the inequality symbol that you use. Hope that helps.
I dont understand can someone please explain?
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?
+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.
Um wouldn't the first one be -5?
You are correct. Note is in description of video.
No problem. Just list the individual x-coordinates for the domain and the individual y-coordinates for the range.
This video was absolutely phenomenal! Thank you so much!
+Daakid Man Thank you for the comment. I am happy the video was helpful.
I don't get the first answer. Wouldn't the domain be x > -5? Reply.
I have a test tomorrow but my graphs don't have open or closed circles at the end ????
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.
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
+Abhishek Tripathi Thank you for the comment. I cover this topic in the following video th-cam.com/video/3mkSYyb9oIA/w-d-xo.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.
+MrHowardMath thank you sir.
I wish you were my math teacher thank you this is sooooooooo easy
+KillerBirdGaming Thank you for those kind words. I am happy the video helped.
what if there is no end points?
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.
Wow I finally get this!! Thank you! But what's the difference when there's a lot more lines I guess in the graph
Isn't it supposed to be x>-5
gohan wanabe that's what I was thinking too 🤔💗
this was actually very helpful to me. thank you
Excellent! Thank you for the comment.
Isn't the first one x>-5 instead of x>5?
+Juliana Araque You are correct. Video has a caption correcting this and I added an update to the description as well. Thanks for watching.
I know right?
Thank You Mr. HowardMath
For the first graph, why isn't it -5?
thanks Mr Howard, this was a great explanation!
Y'all in 8th?
Sub to Pewdiepie I’m in my freshman year
6th
Yeah :)
@@katelynnmorris5119 freshmen
Can't you write the answer with brackets or parentheses instead of the inequality signs
Thank you very much! Your explanation is super clear!!
Thank you for the comment. I am happy the video was helpful.
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?
Thanks, this was really helpful.
Excellent. I am happy the video helped.
I wish there was a example with a never ending amount for either because that is what I'm having problems with.
You will just list the x-coordinates of each point for the domain and list the y-coordinates for the range.
Great video.Thanks.Helped me a lot.
Excellent! Thank you for the comment.
Excellent!!. Thanks for your time.
Thanks from Washington
thank you very much helped me with my homework
Helped so much thank you
it really helped me, Thank you so much
Let me know exactly which part you are still having trouble with and I will try to help.
Youre amazing thank you for saving my marks
+Reena Ram Happy to hear the video helped. Thank you for the comment.
confusing but good work
Thank you very much it helped me a lot.
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.
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.
Did you make a mistake in the second problem?
X>5? Why is it not x> -5?
+Taylor Parks You are correct. Video has a caption correcting this and I added an update to the description as well. Thanks for watching.
vidoe real helped me understand
Excellent. Thank you for the comment.
I still don't get how you know when to use either greater then or less then.😩
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.
MrHowardMath Thanks man, much appreciated with the quick response. Test is tomorrow :)
Happy to help. I'm sure you will do great on your test.
Good, very good ,very good video
Sir, u forgot to put a negative on five?
You are correct. Note is in description of video.
i just seen half video and i got it good haa
Now i get it!!!thank you!!!
Thanks helped me Alot!!!!!!!!!!!!
Happy the video helped! Thank you for the comment.
dude, thank you so much, i cannot tell you how thankful i am.
good!,..nice explanation!,.,.. MrHowardMath :D
good video
For the first one ... Shouldn't it be x>-5
I'M SO CONFUSED!!! D;