undertaking, project, task, labor -- (any piece of work that is undertaken or attempted; "he prepared for great undertakings")
job, task, chore -- (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")
Overview of verb task
The verb task has 2 senses
task -- (assign a task to; "I tasked him with looking after the children")
tax, task -- (use to the limit; "you are taxing my patience")