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

The **Answer to the Question**

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**Here's the Solution to this Question**

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

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