Final answer:
The time-domain behavior of the LTI system with the given output y[n] = e^(-2k) is exponential decay.
Step-by-step explanation:
The time-domain behavior of the LTI system with the given output y[n] = e^(-2k) is exponential decay.
Exponential decay refers to a decrease in the output signal over time. In this case, the output decreases exponentially with a rate constant of 2k. For example, if k = 1, the output decreases by a factor of e (approximately 2.718) every unit of time.
This behavior is commonly observed in systems where the output signal loses energy or dissipates over time, such as a decaying electrical signal or radioactive decay.