Final answer:
The function of a lymphocyte's coreceptors is to recognize particular antigens, contributing to the immune response by binding to specific molecules on pathogens.
Step-by-step explanation:
The function of a lymphocyte's coreceptors is A) to recognize particular antigens. Coreceptors are proteins found on the surface of lymphocytes, including B cells and T cells, and help in the immune response. B cells, or B lymphocytes, are responsible for producing antibodies as part of the body's humoral immunity. They bind specifically to antigens, which are unique molecules on pathogens, and once activated, B cells differentiate into plasma cells that secrete antibodies. T cells, or T lymphocytes, are involved in cellular immunity by directly attacking infected or diseased cells. Both types of cells have coreceptors that assist in recognizing antigens and initiating appropriate immune responses.