Question

Please help! *WILL MEDAL* Thanks ^-^

Which relation is a function?

Answer 1

Read what is inside of the boxes first:
http://www.regentsprep.org/regents/math/algebra/ap3/lfunction.htm

Answer 2

Ok.

Answer 3

But isn't this for a graph, or this can also go with a chart too?

Answer 4

This applies to what a function is. It will work for both graph and charts.
What does it say about X?

Answer 5

"x-element has only ONE y-element associated with it." ?

Answer 6

Yes. What does that mean?

Answer 7

That the x element can only be paired with one y element?

Answer 8

Correct. So if X says that y=2, that is the only thing y can be.
If your chart shows that x=2 and x=3 then it is not a function

Answer 9

Okay, I see the x=2 part, but why not x=3?

Answer 10

Because then the x would be paired with both 2 and 3.

Answer 11

You could say that x=3, but you cannot say that x=3 and x=2 at the same time and have a function

Answer 12

the x element can only be paired with one y element

Answer 13

So, look at your charts and see which ones are saying that x is more than one specific y value. Which chart only has x equaling one y value?

Answer 14

A

Answer 15

What values does -2 equal?

Answer 16

x?

Answer 17

Yes, in chart A when x is -2 it says that y=3 and y=6. Do you see that?

Answer 18

Yes.

Answer 19

Look at chart B. Does it have any x that says y= more than one number?

Answer 20

Yes, 14

Answer 21

Correct. when x=14 it says that y=1 and y=2, therefore it is not a function.
What about chart C?

Answer 22

well, x doesn't have any repeating numbers, but for y it does. which is -9

Answer 23

it is ok for y to have repeating values. Remember we are only concerned with what x says. the x element can only be paired with one y element. So if the x in chart three don't have more that one y value then is it a function?

Answer 24

Oh, okay. C is okay. It's function is -3?

Answer 25

C is ok. it is a function.
What about D? is D a function?

Answer 26

D is a possible function.

Answer 27

\large\frak\color{lime}{Perfect!~\bigstar}?

Answer 28

Look at chart D, if x only = one y then it is a function, but if x = two or more y's then it is not a function

Answer 29

oh... nvm D isnt a function.

Answer 30

Good job. You correctly identified that D is not a function. You got it.

Answer 31

:D \large\frak\color{lime}{yay!~\bigstar}

Answer 32

my latex skills are pretty bad.
So, just to be clear A is the function?

Answer 33

Well, ask yourself does x identify one or more y's?

Answer 34

x

Answer 35

does x repeat itself?

Answer 36

in chart A when x is -2 it says that y=3 and y=6
remember?

Answer 37

reread our conversation and what we covered.

Answer 38

Okay, I will.