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)}

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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)}

Algebra
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Ok first do you know what the domain is?
nope
Ok the domain is a list of all x-values, so here what are they.

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I think I need to just youtube the session on this all together lol
ok this is easy just hang on
you can do this
{(1,2), (2,4), (3,6), (4,8)} {(x,y), (x,y), (x,y), (x,y)}
does that make sense?
kind of
do I add the x's together and the y's together?
so the first number in the coordinate is an x-value and the second number is a y-value. No we are not adding
We are first finding the domain: all x-values: {1,2,3,4} Do you see how I got this?
yes those are all of the xs
wait, so that's it? there is no more work to it?
ok, what do you do once you've found the domain and the y values?
awesome now the range: all the y-values: {2,4,6,8}
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
ok, so how do you do that? because for some reason I want to say it is a function...
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..
We look at the domain, are any of those numbers the same?
the numbers in the domain are not the same but the ones in the range are, right?
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?
I want to say 2 and 4 are but that's not right
lol are any of the numbers physically the same? it is simple 1, 2, 3, 4 are any of those numbers the same number?
oh lol im not smart. No, none of them are the same
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
thanks for putting up with me haha
lol no problem
every function is a relation, not every relation is a function So this is a function AND a relation.

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