The __correct options__ are:

A) The domain is all real numbers;

C) The initial value is 3; and

F) The simplified base is 3√2.

**Explanation**:

A) The domain is the set of numbers that can be use for x. In this function, there are no domain restrictions; this means there are no values for x that will not give you a value for y. This means that all numbers work, which we say is "the set of all real numbers."

C) To find the initial value (starting point), substitute 0 for x:

f(x) = 3(√18)ˣ

f(0) = 3(√18)⁰

f(0) = 3(1) = 3

Thus the initial value is 3.

F) The base of the current function is √18; this is because that is what is raised to a power. If we simplify this, we find the prime factorization of 18, looking for pairs of factors to take out.

The prime factorization of 18:

18 = 2*9

9 = 3*3

This means 18 = 2*3*3; it gives us √18 = √(2*3*3). We have a pair of 3's under the radical, so we take a 3 out; this leaves a 2 under the radical:

√18 = √(2*3*3) = 3√2.