Question

Set x={1,2,3,4}. Show whether each of the following relations, which define the set of ordered pairs represent a function from x to x
f: {(2,3),(1,4),(2,1),(3,2),(4,4)
@ganeshie8

Answer 1

recall the analogy we discussed yesterday(number of girl friends...)

Answer 2

are there any `x`(you) values that have more than one `y`(ur gf) value ?

Answer 3

rule:
y is function of x if x gt one gf only

Answer 4

yes, look at the rule :
f: {(2,3),(1,4),(2,1),(3,2),(4,4)
^ ^

Answer 5

yes

Answer 6

1,4 n 4,4

Answer 7

(1,4) and (4,4) are fine for a function

Answer 8

"gf" value.. what? :P

Answer 9

girl friend solver T_T

Answer 10

as it is clear that if you throw in 1 into the function, the function spits out an unique value 4

and if you throw in 4 into the function, the function spits out an unique value 4

Answer 11

x will get gf but x wont get x gf again

Answer 12

lol

Answer 13

(2,3), (2,1)

this is ambiguous cuz if you plugin 2 into the function, you're not sure what exactl it spits out

Answer 14

in short :
the x value : 2 is pointing to two different y values : 3 and 1. So the the relation is not qualified to be called a function

Answer 15

okay, understood
thanks @ganeshie8

Answer 16

np, you're welcome :)

Answer 17

abhi medal for the day joke T_T