What Are the Functional Groups in Alantolactone?

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Homework Statement


Given the structure of Alantolactone, find two functional groups.

2. The attempt at a solution
This was a question that was on my exam recently. I answered Ester and Ether, however Ether was marked incorrect. Instead, only the answers Ester and Alkene were accepted.

How is Ether incorrect if R-O-R' found in the structure?
 

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-O- is accompanied by carbonyl, so it is no longer an ether.

It is like calling a carboxylic acid an alcohol, just because carboxylic group contains -OH.