What functional groups are subsets of the Alkoxy group? In a quiz, I was asked to find all of the combinations of organic molecule of $\ce{C4H6O2}$. The combination excludes -COOH, -OH, double bonds and the alkoxy group. 

The only problem, as far as I am concerned, is the definition of the term "alkoxy group". According to this Wikipedia article, a Peroxy or Methelenedioxy should be one of the possible combinations allowed. However, the names do have the "-oxy" suffix in them. So I am uncertain whether to include Peroxy's and Methelenedioxy's in the list.

P.S. Below is a picture of the Methelenedioxy group and the peroxy group, respectively,  from the already mentioned Wikipedia article.
There is another Wkipedia article entitled "Alkoxy group".  In it they show the following molecules as containing alkoxy groups.



They include methylenedioxy, but not peroxide in their list.