Topic: Discrete Mathematics and its Applications" Chapter 9: Equivalence Relations

Variation on 9.5#3]. Which of these relations on the set of all functions from Z to Z are equivalence relations? Determine the properties of an equivalence relation that the others lack. 2, (a) {(f,g) If(1)=g(10%)} (c) { (f, g)|3C E Z yz E Z(f(x) + g(x) = C) }