The carrot (Daucus carota) is a plant which is part of the Apiaceae family (umbellifers), which is being planted for its thick root. It is a biennial plant: in the first year the thick root grows, where the plant stores all the backup substances.
The cauliflower (Brassica oleracea var. botrytis) is being used for its hypertrophic inflorescences, which can be consumed in various different ways, in the canned goods and pickles industries. This is an annual plant from the cabbage family, which originated from the Mediterranean part of Europe.