A 1929 paper of Chittenden contains the following sentence (about the derived set operator on a space $P$):
“Thus the relation $E' = K(E)$ defines a single-valued set-valued set-function, whose range is the class of all subsets of $P,$ and whose values are also subsets of $P.$”
Since he used range to mean domain (in current terminology), it made me wonder when the currently used terms became the norm. It evidently wasn't before 1929.