Final answer:
To plot the given singularity function, identify the intervals and their corresponding values. Use the unit step function and plot the values for each time interval.
Step-by-step explanation:
To plot the singularity function, we need to identify the intervals and their corresponding values. The function is given as i(t) = 6u(t−3)−8u(t−6)+2u(t−8), where u(t) is the unit step function. Let's break it down:
From 0 to 3 seconds, the function is 0 since u(t-3) is 0.
From 3 to 6 seconds, the function is 6 since u(t-3) is 1 (turns on at t=3).
From 6 to 8 seconds, the function is -2 since u(t-6) is 1 (turns on at t=6) and u(t-8) is 0.
After 8 seconds, the function is 0 since both u(t-6) and u(t-8) are 0.
By plotting these values for the corresponding time intervals, you can label the graph accordingly.