I know a similar question has been asked before, but I don't get what a relation on a set of functions means exactly...
The problem is determine if the relation $R=\{(f,g)|f(0)=g(0)\text{ or }f(1)=g(1)\}$ on the set of all functions from $\mathbb Z$ to $\mathbb Z$ is an equivalence relation...
But the confusing part is that the ordered pair contains $f$ and $g$, not $f(x)$ or $g(x)$.