Final answer:
The family of the equation y = [(1)/(2)]ˣ is the family of exponential functions with a base of 1/2.
Step-by-step explanation:
The family of the equation y = [(1)/(2)]ˣ is the family of exponential functions. Exponential functions have the general form y = a⋅bˣ, where a is a constant and b is the base of the exponent. In this case, a = 1/2, so the equation y = [(1)/(2)]ˣ represents a family of exponential functions with a base of 1/2.