Question

Examine the following relation and state if it is a function \(R = \{(2,1),(3,1), (4,2)\}\)

Answer 1

Only scenario when it's not a function is when a point has two different images like (2,1),(2,3).

Answer 2

so it is a function .

Answer 3

Yeah

Answer 4

:)

Answer 5

=)

Answer 6

technically there is one more property needed to be a function, it is called the "everywhere defined" This just says that everything in the domain must have an associated range value. But you will always have this property if you list the entire relation as ordered pairs.

Answer 7

Yes, but we don't need to mention that since we're talking about a relation.

P.S: A relation is always defined by a set of ordered pairs, even when it's not explicitly.
Example: the relation > for natural numbers
can still be written as (1,0) (2,0) (2,1) (3,0) (3,1) (3,2)....