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November 28th, 2017, 03:10 PM  #1 
Member Joined: Oct 2017 From: Rumba Posts: 39 Thanks: 0  Question about my image dealing with domain
Z > R where f(x) = x^2 Domain is Z Codomain is R Image i'm not entirely sure about, I got {0,1,4,9...} Am i correct to say this? Last edited by greg1313; November 28th, 2017 at 04:35 PM. 
November 28th, 2017, 03:17 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,424 Thanks: 1311 
domain is $\mathbb{Z}$ codomain is $\mathbb{R}$ range is $\{0\}\cup \{n^2: ~ n\in \mathbb{N}\}$ 
November 28th, 2017, 03:27 PM  #3 
Member Joined: Oct 2017 From: Rumba Posts: 39 Thanks: 0  
November 28th, 2017, 03:32 PM  #4 
Senior Member Joined: Sep 2015 From: USA Posts: 2,424 Thanks: 1311 
the range is the image of the entire domain

November 28th, 2017, 03:41 PM  #5 
Member Joined: Oct 2017 From: Rumba Posts: 39 Thanks: 0  
November 28th, 2017, 04:30 PM  #6 
Senior Member Joined: Sep 2015 From: USA Posts: 2,424 Thanks: 1311  

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