Let A be the set of functions that map real numbers to real numbers. Prove that the relation S on the A given by f S g if f (5) - f (3) = g (5) - g (3) is an equivalence relation.
a) Reflexivity, Symmetry, Transitivity
b) Reflexivity, Anti-symmetry, Transitivity
c) Symmetry, Anti-reflexivity, Transitivity
d) Reflexivity, Symmetry, Anti-transitivity