Question

Let D = {x| x is a student} be the domain, and let ƒ(x) = “date of birth” be the possible function. Determine if the relation is an example of a function.

Answer 1

It is.

The function is just another way of saying to transfer something from domain A to domain B.

$f(x)=y:A\longrightarrow B; x\in A, y\in B$

Now your function states:

$D=\{x\} \\f(x)=y: D\longrightarrow E; x\in D, y\in E$