Describe the equivalence classes

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Prove that these relations on the set of all functions from Z to Z are equivalence relations. Describe the equivalence classes.

1. {(f,g) | f(0)=g(0) and f(1)=g(1)}


2. {(f,g) | There exists a C \in Z, For all x \in Z, f(x)-g(x)=C}

 

 

Reference no: EM13167074

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