To determine the conditions for the function \( f(x) = a(b)^x \) to be a model for exponential growth, we need to consider the value of \( b \).
An exponential growth model occurs when the base \( b \) is greater than 1. Thus, as \( x \) increases, \( f(x) \) will grow rapidly.
Therefore, the correct statement to describe the conditions for \( f(x) \) to represent exponential growth is:
b > 1