task

nouns

any piece of work that is undertaken or attempted
"he prepared for great undertakings"
a specific piece of work required to be done as a duty or for a specific fee
"estimates of the city's loss on that job ranged as high as a million dollars"; "the job of repairing the engine took several hours"; "the endless task of classifying the samples"; "the farmer's morning chores"

verbs

assign a task to
"I tasked him with looking after the children"
is a type of (narrower)
give an assignment to (a person) to a post, or assign a task to (a person)
use to the limit
"you are taxing my patience"