Question

is the following relation a function?. {(0,5),(3,8),(5,9),(7,9)}
a.yes
b.no

Answer 1

No. Because for two values of x (5 and 7), it produces same value of y (9).

Answer 2

Yer but it's not one-to-one.

Answer 3

..I think I mean bijective.

Answer 4

its a many-to-one relation which is classified as a function
a one-to-many relation is not a function

Answer 5

Oops, I got mislead by the term "many-to-one function", sorry it isn't a function.

Answer 6

eh? - theres some confusion here - i'll check the literature

Answer 7

Nope I meant to say one to many.. sorry again.

Answer 8

right - for a relation to be a function an input x can have an output y but another input z can also have same output y.if any input has more than one output the relation is not a function
function can be one-to-one or many-to-one but cannot be one -to-many
so the above relation is a function

a) yes