For multi-tenant SSAS solutions, see design patterns here.
Here you will find elastic jobs as a way to implement schema changes and run jobs across multi-tenant databases.
Scale up and down service tiers and compute power is done in minutes on Azure SQL database, and with elastic pools this is done even quicker. Although even the Basic tier has enough throughput for simple schema databases commonly found on microsservices, this Basic tier can be used on -pre-poduction environments.
Consider setting geo-replication on databases not only replicate data to other regions, but also to use replicas for read-only workloads.
Automatic tuning will help you creating missing indexes, dropping unneeded indexes and forcing query plans. You can set Automatic Tuning to apply recomendations automaticly and it would rollback them if it sees a regression.
A microservice architecture can mean a lot of separate data stores, databases need to be cheap but extremely performant and reliable. Azure SQL DB -- with its $5/month starting price, active geo-replication, point-in-time restore, elastic scaling, tools to support sharding (elastic database client library, query routing, elastic transactions, and elastic database tools, etc) is an excelent choice for microsservices.