Query for MAX/MIN of non-clustered index field for partitioned table

We have a table partitioned on a two-year based hash function from the system date at the insertion time (let's call it PartitionKey). It also has a non-clustered index on a single field (Key). We insert millions of rows a day. If I run the below query, will it be resolved solely based on the non-clustered index on Key?

SELECT MAX(Key), MIN (Key) FROM MyTable