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Mathematics 20 Online
OpenStudy (twizttiez):

What is the range of Variable A for the cluster? ??? to ??? http://static.k12.com/calms_media/media/1549000_1549500/1549023/1/3f26799d6c095052e3eb7012278b03a602b5946c/MS_IMC-141015-108156.jpg

OpenStudy (twizttiez):

@Data_LG2

OpenStudy (twizttiez):

@mathmate

OpenStudy (anonymous):

hello

OpenStudy (twizttiez):

Hello i think i would take 6 to 2 am i correct?

OpenStudy (anonymous):

if i was doing this i would play connect the dots w/ it

OpenStudy (twizttiez):

Mathmate!

OpenStudy (anonymous):

hold on ill think

OpenStudy (anonymous):

i got the same thing

OpenStudy (mathmate):

Remember that this is a discrete function, meaning that the values between the dots are not part of the function. Range is the set of all possible y-values of the function. The range will therefore be a set of points, in this case, integer values, such as range={2,4,5,....} I'll let you finish the job.

OpenStudy (anonymous):

i think 6 to 2

OpenStudy (twizttiez):

Uhhhhh so it wouldn't be 6 to 2?

OpenStudy (twizttiez):

Okay then

OpenStudy (mathmate):

not exactly, try to write your answer in interval form or set notation.

OpenStudy (twizttiez):

Sorry i may sound like an idiot but idk what either of those two things mean xD

OpenStudy (anonymous):

lol

OpenStudy (mathmate):

You need these "tools" to answer your questions correctly. If there is a list of 4 integers, in set notation, it would be: solution = {2,4,5,8} in interval notation, for ALL real numbers between between 4 and 6 it would be solution = [4,6] which includes 4, 4.01, 4.001, 4.1,4.2.....5.9999999,6. In the case of discrete variables, the interval notation may not be needed.

OpenStudy (twizttiez):

Oh my this is confusing o.o

OpenStudy (twizttiez):

Uhmmmm let my try to figure this out

OpenStudy (mathmate):

How many different y-values can you spot from all the given dots?

OpenStudy (twizttiez):

11?

OpenStudy (mathmate):

\(different\) y-values, give it another try, please!

OpenStudy (mathmate):

Sorry, I should have said B-values!

OpenStudy (twizttiez):

ughhhhhhh omg this is mind numbing o.o

OpenStudy (twizttiez):

One second I'll get this

OpenStudy (mathmate):

Actually, to save you time, you need a list of all the \(different\) B-values corresponding to the dots.

OpenStudy (twizttiez):

8? idk how am i supposed to find them?

OpenStudy (mathmate):

Can you post a list of all the B-values that correspond to the dots?

OpenStudy (twizttiez):

Idk how to find them

OpenStudy (mathmate):

Can you give me the coordinates of the bottom dot?

OpenStudy (twizttiez):

Oh 6

OpenStudy (mathmate):

It's an ordered pair consisting of two numbers, like (6,2) 6 is the A-value (horizontal axis), and 2 is the B-value (vertical axis).

OpenStudy (twizttiez):

Omg i get it I'm sorry :\

OpenStudy (twizttiez):

So 6 to 4?

OpenStudy (mathmate):

What is 6 to 4? I am not sure I understand what you mean?

OpenStudy (twizttiez):

My range for variable A

OpenStudy (mathmate):

No, we have found ONE B-value, which is 2 for the bottom dot. You need ALL the B-values for all the dots.

OpenStudy (twizttiez):

I don't get this like at all and i feel like I'm wasting your time :\

OpenStudy (mathmate):

Can you give the ordered pairs of all the dots? THe bottom dot is (6,2), because it is 6 along the A-axis, and 2 along the B-axis. The next dot is (5,4). I would like you to continue listing all the dots.

OpenStudy (twizttiez):

(4,5) (3,8) (2,8) (3,9) (2,9) (1,9) (1,10) (3,10) (4,10)???

OpenStudy (mathmate):

Good! You're now ready to answer the question.

OpenStudy (twizttiez):

what do i do now?

OpenStudy (mathmate):

Sorry, you need to correct some error first. I don't see the bottom dot!

OpenStudy (twizttiez):

GAHHHHH! (6,2)

OpenStudy (mathmate):

I don't see the next one either. Remember, the horizontal axis first, vertical axis second. Order is important in ordered pairs!

OpenStudy (twizttiez):

Well i didn't list them because you already did

OpenStudy (mathmate):

You need a list of ALL the points, please!

OpenStudy (mathmate):

You're welcome to copy and paste!

OpenStudy (twizttiez):

Can i apologize for yelling at you I'm a tad bit frustrated

OpenStudy (mathmate):

That's ok, I know you're probably frustrated even earlier on, but you're very close to solving the problem. Just keep it up.

OpenStudy (twizttiez):

Okay phew xD

OpenStudy (twizttiez):

(5,4) (6,2) (4,5) (3,8) (2,8) (3,9) (2,9) (1,9) (1,10) (3,10) (4,10)

OpenStudy (mathmate):

The domain for this function is the set of the first number in all the ordered pairs, which is: domain = {5,6,4,3,2,1} Can you see how it was done?

OpenStudy (twizttiez):

Yes so do i take the highest and the lowest numbers from that?

OpenStudy (mathmate):

Notice that I took 5 from the first number from the first ordered pair, 6 from the second, 4 from the third, 3 from the fourth, 2 from the fifth, I skip 3 because we alread had it, and same for 2, then added 1 and so on.

OpenStudy (twizttiez):

Okay i see

OpenStudy (mathmate):

The range is the set of the second number of the ordered pair. But do CHECK that your ordered pairs are correct.

OpenStudy (twizttiez):

So (6,2)?

OpenStudy (mathmate):

You need to make a set of the second number of EACH ordered pair, similar to the way I did it for domain.

OpenStudy (twizttiez):

o_o

OpenStudy (mathmate):

It starts like this: range={4,2,5....} I'll let you continue because I've got to go. I might be able to check your answer if you can post it soon.

OpenStudy (twizttiez):

Oh okay well I'm still kinda lost but I'll make sure i solve this!

OpenStudy (mathmate):

Can you try picking the \(second\) number from each ordered pair and put them together in braces {... } Range is the list of the "second" number of all possible ordered pairs!

OpenStudy (twizttiez):

So (4,2,5,8,8,9,9,9,10,10,10)

OpenStudy (mathmate):

Use braces { }, not (). But the list is good. All you need to do now is to eliminate the duplicate numbers.

OpenStudy (mathmate):

@twiztTiez

OpenStudy (mathmate):

Oh well, good night!

OpenStudy (twizttiez):

Sorry i had to do something and i forgot all about this I'm sorry :\

OpenStudy (mathmate):

If you removed the duplications from the following, you've got the range of the function. {4,2,5,8,8,9,9,9,10,10,10}

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