Final answer:
The y-intercept of the function f(x) = 2(4)^x is 2. Hence, C) is correct.
Step-by-step explanation:
The y-intercept (initial value) of the function f(x) = 2(4)x is 2.
The y-intercept represents the value of the function when x is equal to zero. In this case, when x is zero, the function becomes f(0) = 2(4)0 = 2.
Therefore, the y-intercept is 2.