How many functions f: Z \to Z are there such that f( x + y) = f(x) + f(y ) for all x,y \in Z?

Correct Answer is : Infinitely many

AP EAMCET Engineering 17 Sep 2020 Shift 2 Paper

Section: Mathematics

Question : 27 of 160

Marks: +1, -0

How many functions f: Z→Z are there such that f(x+y)=f(x)+f(y) for all x,y∈Z?

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