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Mathematics 14 Online
OpenStudy (anonymous):

WILL GIVE MEDAL IF CORRECT. Determine which relation is a function. A. {(–3, 2), (–2, 3), (–1, 1), (0, 4), (0, 1)} B. {(–3, 3), (–2, 3), (–1, 1), (0, 4), (0, 1)} C. {(–3, 2), (–1, 3), (–1, 2), (0, 4), (1, 1)} D. {(–3, 2), (–2, 3), (–1, 2), (0, 4), (1, 1)}

OpenStudy (mathmale):

You'll need to understand what distinguishes "functions" from "non-functions." Can you do that? Important to kinow, if you have to identify functions.

OpenStudy (anonymous):

no, i'm not sure how to do that. can u explain it?

OpenStudy (anonymous):

@adamfolt can u help please?

OpenStudy (anonymous):

I think so one minute

OpenStudy (anonymous):

ok thx

OpenStudy (solomonzelman):

By "function" they mean that relation has no more than one y per every x.

OpenStudy (anonymous):

okay, so can u help with the question asked?

OpenStudy (solomonzelman):

that is what I am going to attempt. 9(But as you probably know, I am not allowed to just handle answers according to the site's policy))

OpenStudy (anonymous):

would the answer be A? since, every other group has 2 of the same y values?

OpenStudy (anonymous):

yes I understand that.

OpenStudy (solomonzelman):

So if you had, FOR INSTANCE, (2,3), (2,4) somewhere in your relation. Then for x=2, you have y=3 and y=4. And that means that your relation would NOT be a "function".

OpenStudy (mathmale):

When you're trying to identify functions, the important thing is that no x-value has more than one y-value associated with it. Solomon's example is very accurate.

OpenStudy (solomonzelman):

HOWEVER, if your relation involved (again FOR INSTANCE) the following points: (4,5) and (6,5) ... then your relation is a function, because you have x=4 and x=6 for y=5. And that doesn't transgress the requirement; "no more than one y-value per every x" (Saying that you can have multiple x's that correspond to a single y, but NOT the other way around)

OpenStudy (anonymous):

so is the answer A or not??

OpenStudy (solomonzelman):

{(–3, 2), (–2, 3), (–1, 1), (0, 4), (0, 1)} A has points; (0,4) and (0,1) so for x=0 you have multiple y-values - y=4 and 1.

OpenStudy (solomonzelman):

Are you allowed to have more than one y-coordinate correspond to a single x-coordinate?

OpenStudy (anonymous):

yes, i think so,

OpenStudy (solomonzelman):

I explained that not...

OpenStudy (anonymous):

oh yea sorry. its one y coordinate per ever x coordinate

OpenStudy (solomonzelman):

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OpenStudy (solomonzelman):

therefore, it is NOT a...

OpenStudy (anonymous):

it's not a function.

OpenStudy (solomonzelman):

yes it is not "function"

OpenStudy (anonymous):

and there's only allowed one point per vertical line?

OpenStudy (solomonzelman):

yes, one point per vertical line. (same as "no more than one y-value per a single x-value)

OpenStudy (solomonzelman):

but, on horizontal line, you can have multiply points.

OpenStudy (anonymous):

okay so then would the answer be A??

OpenStudy (solomonzelman):

I thought we just agree that ....

OpenStudy (solomonzelman):

agreed*

OpenStudy (anonymous):

so yea?

OpenStudy (anonymous):

because that's what I thought too, just making sure though.

OpenStudy (solomonzelman):

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