Question

Which relations are functions and which are not functions?
Column A
Column B
1.{(3, 2), (6, 4), (9, 6),(12, 8)}
2.{(2, 3), (2, 5), (3, 6), 9, 4)}
3.{(4, 2), (6, 3), (4, 8),(6, 6)}
4.{(3, 4), (5, 2), (6, 8), (6, 4)}
A.function
B.not a function

Answer 1

in this form, if you have no repeated x values (with different y values), then it is a function.

Answer 2

so all of them are function @zzr0ck3r

Answer 3

Example,

2 is not a function because we have the ordered pairs (2,3) and (2,5)

Since we have x values repeating with different y values it is NOT a function.

Answer 4

im lost i dont understand

Answer 5

do you see that we have the ordered pairs (2,3) and (2,5) in #2?

Answer 6

@dan815

Answer 7

do you see that we have the ordered pairs (2,3) and (2,5) in #2?

Answer 8

this is really easy, if you just answer my questions...

Answer 9

yes

Answer 10

ok so we have an x value 2 that belongs to two y values 3 and 5.

Answer 11

so it is not a function

Answer 12

so you just need to make sure you don't have repeated x values

Answer 13

1.A
2.B
3.B
4.A

Answer 14

look at the last one again

Answer 15

4.B
3.A

Answer 16

does 1 have any repeated x values?

Answer 17

they all do except #1

Answer 18

so the only one that is a function is 1

Answer 19

repeated x values mean NOT a function

Answer 20

yes only number 1

Answer 21

You can have repeated x values but the y values must be the same

\(\{(2,3),(2,3),(4,5)\}\) is a function

Answer 22

but unless they are trying to trick you they wont give you examples like that.

Answer 23

okay i understand thank u

Answer 24

one more thing. you are allowed to have repeated y values

\(\{(2,3),(4,3),(5,5)\}\) is a function

Answer 25

ok no problem.