Question

Is the relation below also a function?
{(2, 3), (-2, 3), (3, 3), (-3, 5)}

Answer 1

some relation are function

Answer 2

i think it is a co-ordinate for a function ...right ?

Answer 3

all function are relation

Answer 4

it can be a piecewise function

Answer 5

all functions are relations, not all relations are functions....

Answer 6

for a relation to be a function, i think there must be a one-to-one relationship between the pairs...

Answer 7

yea i guess too........

Answer 8

that is, consider (x,y). Then y is assigned to x and this is unique, i.e. y cannot be assigned to any other x. In your case, that relation is not a function, because 3 is assigned to 2 -2 and 3.

Answer 9

ok ty

Answer 10

ok just a sec, I think I got that the other way around. If you want your relation to be a function, you cannot have (x,y_1) and (x,y_1) (or more) i.e. you cannot have x corresponding to two (or more) range values.

Answer 11

and because i got it the wrong way round the first time, I think your relation IS a function after all. Sorry for being confusing

Answer 12

you can tell the first thing I said was wrong because consider f(x) = x^2, this is clearly a function, and there are two domain elements to a range value...

Answer 13

there is not just a 'one to one' relationship between pairs, but there is also a 'one to many' relationship, but NOT a 'many to one'

Answer 14

ok ty