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Mathematics 20 Online
Joemama24:

Ortencia made the following grades on her tests: test #1, 90; test #2, 80; test #3, 95; test #4, 90; test #5, 85. She wants to plot her progress on a coordinate plane where the test number is on the x-axis and the test grade is on the y-axis. Question: a) Write this relation as a set of ordered pairs. b) What is the domain? c) What is the range?

Gdeinward:

Hello and Welcome to QC. Here you will find a great community of people always willing to help and always ready to chat.

Gdeinward:

Hello and Welcome to QC. Here you will find a great community of people always willing to help and always ready to chat! Can you please post the correct question?

Joemama24:

What? the questions are under the thing that says Question:

Gdeinward:

Oh excuse me, when I looked at the question b4 I dint see any choices. Excuse my mistake.

Joemama24:

Oh sorry... that's my fault I didn't know

Gdeinward:

Are you having trouble with it as a whole, or are there some things you know and have any ideas on?

Joemama24:

To be honest the whole thing is just confusing...

Gdeinward:

Thats okay, I understand. So you do have experience with coordinate plains, and working with points right?

Joemama24:

Yes

Joemama24:

Do you know the answer?

Gdeinward:

I dont have the answer, but I do know how to find it.

Gdeinward:

I can help you along the way, but by no means can I give direct answers

Gdeinward:

Its one of the rules of the site.

Joemama24:

Okay

Gdeinward:

So lets start with a. Its wants you to put the test number and scores into ordered pairs. Or X,Y.

Gdeinward:

Do you know what to do next?

Joemama24:

Make them like (1,90) and (2,80) (3,95) Right?

Gdeinward:

that is correct. Good Job!

Gdeinward:

So you know how to answer part A

Joemama24:

Hooray!

Gdeinward:

now, lets move on to part b: If you recall, Domain is just the possible x values for the graph. Do you know how to create that?

Joemama24:

mmmmm not really

Gdeinward:

well, the form domain is often presented in is the lowest x value the variable x, then the high variable. So for some random graph not his one, you could have 5<x<10 where the possible x values must be bigger than 5, but less than 10.

Gdeinward:

that would be the domain.

Joemama24:

so it would be 80 to 95?

Gdeinward:

well ur on the right track, but those are the y values. Try the x ones.

Joemama24:

oooooo okay then it would be 1 to 5

Gdeinward:

that is correct. So how would you put that into the form mentioned earlier?

Joemama24:

1<x<5

Gdeinward:

that is close, but you must remeber, by these rules x would equal 2-4 not 1 thru 5. You must use the greater than or equal to/ less than or equal tot

Joemama24:

so uh it would be uh 1>x>5? I don't think that's right

Joemama24:

I'm sorry I don't understand

Gdeinward:

\[\le \ge \]

Gdeinward:

these are th signs. Whenever it is equal to it means this number AND the numbers after it or before it, so \[1\le x \le 5\]

Gdeinward:

that is the domain

Joemama24:

ohhhhhhhhhhhhhhhhhhhh

justjm:

Domain isn't 1≤x≤5 actually, because by saying 1≤x≤5, you are saying that the infinitely smallest number is included as well, which isn't the case. Simply said, there can't be 1.5 of a test. Instead, the domain would rather be something like this: {x | x = 1, 2, 3, 4, 5}

Joemama24:

woah

Gdeinward:

This isnt advanced mathematics. that is much too technical.

Gdeinward:

whats ur grade Joemama?

justjm:

Uh it isn't advanced mathematics, that's just an appropriate set builder notation for defining the domain. But in layman's, the domain is x=1, 2, 3, 4, 5.

Joemama24:

9 thats the only section I found related to math

Gdeinward:

Not advanced, but this is the way I was taught in the younger grades I didnt get it that refined till later

Joemama24:

so which one is it?

Gdeinward:

well, what did you encounter in the lessons of yours?

Gdeinward:

how did they show domain?

Joemama24:

I'm in algebra but I don't what it looks that way I'm trying to help......

Joemama24:

to get

justjm:

It's not about representing the domain. You can also use interval notation. That's not what I'm talking about. By using an inequality, you are implying that there is an infinite set of numbers that can be defined as x, as long as it is between 1 and 5. That would not be correct in this scenario. Note that they stated it is a relation which is to be defined as a set of ordered pairs.

justjm:

You can just say the domain is the set of whole numbers from 1 through 5, inclusive

Gdeinward:

ight, go with justjm.

Joemama24:

ahh thank you alright time for the next part

Gdeinward:

the next part indeed.

Gdeinward:

to find range you must order al lof the x values from least to greatest then subtract the smallest value from the largest value in the set.

Joemama24:

okay so 15

Gdeinward:

well show the whole thing not just the answer.

Gdeinward:

so 95-80= 15 is the range.

Joemama24:

hooray

Gdeinward:

whats the real answer Justjm? Lets hear it

Joemama24:

dont be rude to mr justin

Gdeinward:

Im not , looking at it that does seem rude, that was not my intention

justjm:

I think it is asking for the range with respect to the relation, not the statistical range. Remember that the relation is discrete, not continuous. The range would be the set of y values, or { y | y = 90, 80, 95, 85}

Joemama24:

well stop being rude to mr justin hes right and youre not

justjm:

Chill he's helping out as well. and how do you know my name?

justjm:

and no, he wasn't rude. calm down

Gdeinward:

I see what you mean, I had considered that, bt was trying to think from a 9th-grade perspective.

justjm:

hm maybe you found out from my username I suppose. Well that was a correct guess ¯\_(ヅ)_/¯

Gdeinward:

Just go with justjm, his mathematical skills are respectable.

Joemama24:

sorry that was my friend i walked across the room so yall sayin the answer would be y = 90, 80, 95, 85?

Gdeinward:

yes, but ensure to order form least to greatest, for simplicity

justjm:

^ correct good job

Joemama24:

so it would be 80 85 90 95

Joemama24:

sorry I keep asking I just wanna make sure its right

Gdeinward:

correct

Joemama24:

and what was the domain again ?

Gdeinward:

x=1, 2, 3, 4, 5.

Joemama24:

okay thank you for the help

Gdeinward:

It was my pleasure. Let me know whenever you need assistance.

Joemama24:

thx! ill make sure to whenever I can

Gdeinward:

ANd ur welcome to chat in the main chat down below on the bottom right of the page where it says, all subjects. And if you dont mid further, please slect the best response button on the right

Gdeinward:

of your posts

Joemama24:

I will

Joemama24:

Again thank you for all the help

Gdeinward:

your welcome, and thank you

Joemama24:

See you on the flip side

Gdeinward:

diddo

Gdeinward:

also if you are done with the question, please close the thread.

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