Final answer:
To find f(0) for the function f(x) = -8(2)^3x^3, we substitute x with 0 and simplify to find that f(0) equals 0.
Step-by-step explanation:
The function given is f(x) = -8(2)^3x^3. To evaluate f(0), we substitute x with 0. So the function becomes f(0) = -8(2)^3(0)^3. Since any number to the power of zero is 1, we have (0)^3 = 0. Therefore, f(0) = -8(2)^3(0) = -8(8)(0) = -64(0) = 0. Hence, f(0) equals 0.