In many places around the world diners consider roasted insects a delicacy what is the function of the underlined phrase in the sentence

You forgot to mention which is the underline phrase in the sentence. However I dug up on other sources and I believe the correct underline phrase is:

“In many places around the world”

Now the function of this underlined phrase is called as “adjective prepositional phrase”. A preposition is something which connects a word in a sentence to the other words. In this case, the underlined phrase connects diners to the rest of the words to give meaning to the sentence. See, if we remove the underlined phrase, it would become “Diners consider roasted insects a delicacy” which does not really make sense since we do not know which diner the sentence is referring to. Since the underlined phrase also describes the word diner, hence it is also an adjective and therefore an “adjective prepositional phrase”.

adjective prepositional phrase

he agrees with the monk's positions.

word count 168

serve the people! ,” smoothly translated by julia lovell, offers an initial sample of yan lianke’s writing to an english-speaking audience. a bluntly drawn, mildly erotic fable, it teases mao zedong by poking fun at a true believer who obeys the chairman’s precepts too literally. to a western sensibility, the broad strokes of yan lianke’s humor would seem to pose little risk of inciting rebellion, whether of the flesh or of the body politic. but then, part of the book’s attraction is that it doesn’t have a western sensibility. it lets the reader see — or rather, intuit — what jokes chinese officials don’t consider funny, and how very little it takes for a writer to be branded an incendiary in 21st-century china, more than three decades after the death of mao, a decade after the death of deng xiaoping and seven years since china entered the world trade organization, a move that would seem to signal a willingness (however wary) to mingle with the rest of the world.