Modal verbs are used to express functions like obligation, permission, advice, possibility and necessity. Common modal verbs include can, could, shall, should, may, might, must, ought to. They are used with other verbs to express things like obligation (must, have to), permission (can, may), advice (should, ought to), deduction (must, can't) and past possibility (could, might). The document provides examples of using different modal verbs in sentences to convey obligation, permission, advice and other meanings.