A graven image was a carved image or wooden household deity associated with idolatrous worship. The term refers to an object made or used as a representation of a false god or household tutelary deity.
The biblical references condemn the making or honoring of graven images. They are associated with idolaters and with the false worship forbidden to Israel.
The supplied material states that nations and cities had their own gods, while individual families could possess separate household or tutelary gods.