Arbitrary Set A a Function??

Assume you have an arbitrary set A, let RA be the relation defined on A × Power Set(A) by,
for all a ∈ A and B ⊆ A,

“a RA B iff a ∈ B”

1.Let A = {0, 1}. Is RA a function? Justify?

2.Find a set A such that RA is a function.

does anybody have an idea of what to do? Im confused on trying to show its a function

The powerset(A) = {{0},{1},{EmptySet},{0,1}}

is RA a function then? because the X value is connected to a Y value?

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