Multiple overlapping plots

1. I need to produce a plot with x and y axis fixed but multiple curves overlapped.
   (A family of up to 8 curves from a curve tracer where each represents a step in transistor base current. Each digitized sequentially. They are usually displayed sequentially on a CRT so the eye sees one picture)
   Will Matplotlib do this or should I be looking at other software?
2. I also need to display two curves, magnitude and phase, where the left axis would be labeled in impedance and the right axis labeled in phase.
   Will Matplotlib do this or should I be looking at other software?
3. I need to plot data live as it arrives over many seconds. The x and y scale can be known before starting. The dots need to be joined.
   Will Matplotlib do this or should I be looking at other software?
   

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