To propose or express one's willingness (to do something).

“She offered to help with her homework.”

To present in words; to proffer; to make a proposal of; to suggest.

“Everybody offered an opinion.”

To place at someone’s disposal; to present (something) to be either accepted or turned down.

“He offered use of his car for the week.  He offered his good will for the Councilman's vote.”

The act by which something is offered.

That which has been offered; a sacrifice.

An oblation or presentation made as a religious act.