Function adverbs are provided in this article. The words listed here are commonly found along with the verb function in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb FUNCTION.
abnormally, actually, adequately, appropriately, automatically, autonomously, barely, competently
correctly, differently, effectively, efficiently, equally, essentially, exactly, fairly
freely, frequently, fully, generally, harmoniously, independently, largely, mainly
merely, normally, optimally, perfectly, poorly, primarily, probably, productively
properly, really, reasonably, relatively, satisfactorily, separately, similarly, simultaneously
smoothly, socially, solely, successfully, typically, ultimately, usually
Hope this word list had the function adverb you were looking for. In addition to adverbs used with function, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.