to make something available to someone: to furnish, provide, offer, or bring it about
The verb pictures holding something out at another person's side, where they can reach it. From that single image the New Testament draws a wide fan of uses, all held together by the idea of putting something at someone's disposal.
Most often it means to supply or grant. A fortune-telling slave girl "brought" her owners a large profit, God "richly provides" everything for us to enjoy, and masters are told to give their servants what is fair. It overlaps with the ordinary verb for giving (δίδωμι), but it leans toward furnishing something from one's own resources rather than simply handing it over. It can also mean to hold something out in the plain, physical sense, as when Jesus tells a person struck on one cheek to offer the other.
The same verb has a negative side in a fixed expression that means, literally, to furnish someone with trouble, which English simply renders "to bother" or "to trouble." When the disciples scold the woman with the costly perfume, when a persistent widow wears down a judge, and when Paul writes "let no one trouble me," this is the word at work. It can also produce something less concrete, such as the endless disputes that certain teachers "give rise to."
Used of oneself, it means to present or show oneself as something, as when Titus is told to make himself a model of good works.