No, “my” is not a preposition. It is a possessive pronoun (or possessive determiner).

Function of “My” as a Possessive Determiner:

  1. Indicates Possession or Ownership
    • My restaurant is doing well this season.
    • She forgot my order.
  2. Used Before a Noun (Modifies a noun by showing ownership)
    • I updated my POS system.
    • My customers love the new menu.

Why “My” Is Not a Preposition

  • Prepositions (e.g., in, on, under, about) show relationships between words.
  • “My” does not establish relationships; it indicates possession, making it a possessive pronoun/determiner.

Thus, “my” is a possessive determiner, not a preposition.