Which statements accurately describe the function f(x) = 3√18^x? check all that apply.
a. the domain is all real numbers.
b. the range is y > 3.
c. the initial value is 3.
d. the initial value is 9.
e. the simplified base is √2.
f. the simplified base is 3√2.

Option A is correct: the domain is all real numbers for there is no real value of x for which f(x) does not have a value.

Option B is incorrect: the range is not y > 3, because, for negative values of x, f(x) < 3, e.g. for x = -1, f(x) = 3 * sqrt(18^(-1)) = 3*sqrt(1/18) = 3*0.2357 = 0.7071 < 3.

Option C is correct: f(0) = 3*sqrt(18^0) = 3*sqrt(1) = 3 * 1 = 3

Option D is incorrest: (see working for option C)