Question

What is the image (range) of the function that assigns the square of an integer to this integer

Answer 1

The function is: $f:\Z \to \Z$ defined by $f(n)=n^2, \forall n \in \Z$

Image(range)$:=\{n^2|n\in \Z\}=\{0,1,4,9,16,25,\ldots\}$