Question

How do I list the elements of the domain as a set and the elements of the range as a set? Also, is it a relation or a function?

{(1,2), (2,4), (3,6), (4,8)}

Answer 1

Ok first do you know what the domain is?

Answer 2

nope

Answer 3

Ok the domain is a list of all x-values, so here what are they.

Answer 4

I think I need to just youtube the session on this all together lol

Answer 5

ok this is easy just hang on

Answer 6

you can do this

Answer 7

{(1,2), (2,4), (3,6), (4,8)}
{(x,y), (x,y), (x,y), (x,y)}

Answer 8

does that make sense?

Answer 9

kind of

Answer 10

do I add the x's together and the y's together?

Answer 11

so the first number in the coordinate is an x-value and the second number is a y-value.
No we are not adding

Answer 12

We are first finding the domain: all x-values:
{1,2,3,4}
Do you see how I got this?

Answer 13

yes those are all of the xs

Answer 14

wait, so that's it? there is no more work to it?

Answer 15

ok, what do you do once you've found the domain and the y values?

Answer 16

awesome now the range: all the y-values:
{2,4,6,8}

Answer 17

ok so so far we have:
domain: {1,2,3,4,}
range: {2,4,6,8}
Now we need to determine whether it is a relation or a function

Answer 18

ok, so how do you do that? because for some reason I want to say it is a function...

Answer 19

A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it. So none of the x-values can be the same. So is this a function? Let's see if you can figure this out..

Answer 20

We look at the domain, are any of those numbers the same?

Answer 21

the numbers in the domain are not the same but the ones in the range are, right?

Answer 22

ok, no that is not what we are looking for. to determine if it is a function, all we have to do is see if any of the x-values are the same, here are the x-values {1,2,3,4,} are any of them the same?

Answer 23

I want to say 2 and 4 are but that's not right

Answer 24

lol are any of the numbers physically the same? it is simple 1, 2, 3, 4 are any of those numbers the same number?

Answer 25

oh lol im not smart. No, none of them are the same

Answer 26

awesome so that means that this is a function: so this is what we have-
domain: {1,2,3,4}
range: {2,4,6,8}
relation or function: function

Answer 27

thanks for putting up with me haha

Answer 28

lol no problem

Answer 29

every function is a relation, not every relation is a function

So this is a function AND a relation.