Who was the fourteen year old boy and the old man in the forest in excalibur, from the tales of king arthur?

I believe that the fourteen-year-old boy and the old man was Merlin. Merlin was a wizard and he had an encounter with Arthur in the forest and disguised himself as a fourteen-year-old boy telling him that he is Uther's son by Igrayne. Arthur didn't believe Merlin because of his young disguise so Merlin left and returned as an old man.

. a function is a relation in which each input has only one output. in the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.