The unit step function u(t) is defined as 1 for t >= 0 and 0 otherwise, while u(-t) is defined as 1 for t <= 0 and 0 otherwise. The discussion clarifies that negative time is not being considered; instead, the argument of the function is negative. This means that u(-t) effectively represents a step function that activates at or before t = 0. Understanding these definitions is crucial in the context of signal processing and systems analysis. The distinction between the time variable and the function argument is key to interpreting the behavior of u(-t).