how would you explain search operator to a client?

the little commands you can add to a google search. site:client.com shows what google has indexed of their site. "their brand name" -site:client.com finds every mention of them that isn't on their own site. intitle:keyword shows who's targeting a phrase. for the client i'd just show them the site: one, it's the fastest way to see if pages are missing from google. nothing to maintain, they're just things you type.