Hey can someone help me out here: \"Define a function which has the name P such

Question

Hey can someone help me out here: "Define a function which has the name P such that its domainis the set of Integers, such that its co-domain is the set of realnumbers, and such that every image under P is exactly 2 greaterthan its pre-image. Use the convention involving a colon and anarrow to specify which particular set the domain is and whichparticular set the co-domain is. " Thanks a lot. Hey can someone help me out here: "Define a function which has the name P such that its domainis the set of Integers, such that its co-domain is the set of realnumbers, and such that every image under P is exactly 2 greaterthan its pre-image. Use the convention involving a colon and anarrow to specify which particular set the domain is and whichparticular set the co-domain is. " Thanks a lot.

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QuestionDetails: Hey can someone help me out here: "Define a function which has the name P such that its domainis the set of Integers, such that its co-domain is the set of realnumbers, and such that every image under P is exactly 2 greaterthan its pre-image. Use the convention involving a colon and anarrow to specify which particular set the domain is and whichparticular set the co-domain is. "
Y=P(X)=X+2
WHERE {X|X IS AN ELEMENT OF Z THE SET INTEGERS}
AND {Y| Y IS AN ELEMENT OF R THE SET OF REAL NUMBERS}
NOTE THAT CODOMAIN AUTOMATICALLY GETS DEFINED BY THEFUNCTIONAL RELATION AND DOMAIN

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