The table that shows values representing a cubic function is Table D.
Table D represents a cubic function, as the values of f(x) increase by a factor of 3 for each increment of x. A cubic function is characterized by the cubic term, x^3, and the given table exhibits this cubic growth. The relationship between x and f(x) demonstrates the cubic pattern of successive cubes, evident in the consistent tripling of values.
This aligns with the behavior of cubic functions, where the degree of the highest term is three. The values in Table D affirm the characteristic growth of a cubic function, setting it apart from the other tables.