underlay vs cater

underlay is a noun but cater is not a noun.

Word	Noun	Adjective	Verb	Adverb
underlay	Yes	No	Yes	No
cater	No	No	Yes	No

As verbs, cater is a hypernym of underlay; that is, cater is a word with a broader meaning than underlay:

underlay: provide with a base, support, lining, or backing
cater: give what is desired or needed, especially support, food or sustenance

Other hypernyms of underlay include ply, provide, supply.

underlay (noun)	cater (noun)
a pad placed under a carpet

underlay (verb)	cater (verb)
provide with a base, support, lining, or backing	give what is desired or needed, especially support, food or sustenance
put (something) under or beneath	supply food ready to eat; for parties and banquets
raise or support (the level of printing) by inserting a piece of paper or cardboard under the type