Apple Music & the Cloud ?

Wotchered

Well-known member
Oct 29, 2013
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As I understand it my purchased music is on my iphones' memory, and that Apple music transfers that music to iCloud. So if after the free/ probationary period I decide not to continue with the service, does iCloud relinquish control and return my music to my iphones' memory ?
Also , does my music existing only in the cloud mean that I cannot play it without using data, e.g offline ?