To reflect a function across the x-axis, you need to negate the value of the function. In this case, if we start with the function f(x) = 508x, the reflection across the x-axis can be represented by the function:
g(x) = -f(x) = -508x
This transformation results in the same input values for x but changes the output sign. As a result, for any positive value of x in the original function, the reflected function will yield a negative value, and vice versa. Thus, the correct representation of the reflection of f(x) across the x-axis is g(x) = -508x.