dependency preserving

Question

Let R (X, Y, Z, W) be a relational schema with the following functional dependencies:
X → Y, Y → Z, Z → W and W → Y.
The decomposition of R into (X, Y), (Y, Z), (Y, W) ___

Plz tell whether lossy/lossless and FD preserving or not

Answer 1

 

Hence Function is Lossless and FD preserving.

Answer 2

It is lossless as well dependency preserving