Based on the experiments conducted, here is a description of the function implemented by f(x):

[DESCRIPTION]: The function f(x) seems to measure the association of a word with the concept of "NBA". It returns higher values (closer to 1) for words that are closely related to the NBA, such as "NBA" itself, and lower values (closer to 0) for words that have little or no association with the NBA, such as "helmet", "news", "bus", "mourning", "Reddit", "humidity", "Nirvana", and "saddle". The word "queen" has a moderate association with the NBA, but it is not as high as the direct association with the word "NBA". Therefore, the function f(x) can be described as selective for the concept of "NBA".