Question

Which point could be removed in order to make the relation a function?

{(0, 2), (3, 8), (-4, -2), (3, -6), (-1, 8), (8, 3)}

(8, 3)
(3, -6)
(-1, 8)
(-4, -2)

Answer 1

what do you think?

Answer 2

any idea?

Answer 3

well let's start with the definition of a function shall we

Answer 4

in order for a relation to be a function x an element of the domain has to have
exactly one coresponding y in the range
if one x has more than one it cannot be a function that is what this is saying
so if we have for example say (3, 4) (3, -2) as two points of a relation
this sort of a relation cannot be a function since 3 is assigned two distinct values 4 and -2

Answer 5

knowing this, can you tell out of the choices you given which one need to remove to
make that relation a function?

Answer 6

hey! say something....

Answer 7

sorry! I got distracted @xapproachesinfinity

Answer 8

well read what i wrote

Answer 9

A and C aren't it, right?

Answer 10

@xapproachesinfinity

Answer 11

well this is not a guess and find
you have the definition use it
think and get the answer

Answer 12

now tell what points does x repeat
like (4, 5) (4, -1)

Answer 13

D

Answer 14

forgot about the option my friend
focus on the set {(0, 2), (3, 8), (-4, -2), (3, -6), (-1, 8), (8, 3)}

Answer 15

detect two points where same x is repeated

Answer 16

8,3 and 3,8

Answer 17

that's not same x
the x is the first one
you 8 and 3 those are the x coordinates

Answer 18

same x would be like (9, 1) (9, 0)

Answer 19

3,8 and 1,8

Answer 20

see 9 is in the x's place

Answer 21

man i said same x look at my example (9,1 ) (9,0)

Answer 22

but none of them are in that place

Answer 23

(place of x , place of y)
do you got it always the first part is for x and the second for y
that's why they are called (x,y) ordered pairs

Answer 24

wait nevermind 3,8 and 3,-6

Answer 25

finally! you opened your eyes

Answer 26

yes
not we need to take out one of those so that we have a function not just a relation

Answer 27

see your options now and figure out which one we need to get rid of

Answer 28

it's B

Answer 29

yes!
if there is no (3,-6)
the set will be a function

Answer 30

thank you

Answer 31

welcome!