Final answer:
The function f(x) = 8x - 4 is continuous for all real numbers x.
Step-by-step explanation:
To determine where the function f(x) = 8x - 4 is continuous, we need to find the values of x where the function is defined and has no discontinuities. The function is a linear equation, which means it is continuous everywhere. In other words, there are no restrictions on the domain of the function. Therefore, the function f(x) = 8x - 4 is continuous for all real numbers x.