Final answer:
The statement that the domain of the function y=3(0.5)^x+2 is all real numbers is true, as the exponentiation of any real number is defined.
Step-by-step explanation:
The statement is true. The function given is y=3(0.5)^x+2. The domain of a function is the set of all possible input values (values of x) to the function, which produce valid output values. This function has an exponent of x applied to a base of 0.5, a form which is defined for all real numbers. Therefore, no matter what real number is substituted for x, the function will yield a valid real number result. Thus, the domain of this function is indeed all real numbers.