Why The time domain view plots how a signal's instantaneous amplitude (voltage or current) varies as time advances, which is exactly what an oscilloscope shows with time on the horizontal axis and amplitude on the vertical axis. Fourier analysis is the mathematical bridge that converts that amplitude-versus-time record into the frequency domain, where amplitude is plotted against frequency instead, as a spectrum analyzer does.
Watch out Plotting frequency against time describes a spectrogram or waterfall display, not the basic time domain representation; a series of discrete impulses is just one particular waveform, not a general definition of the domain.
Time domain = scope: amplitude vs time. Frequency domain = analyzer: amplitude vs frequency.