Suppose that you are able to plot pixels as adjacent "classical" electrons -- 3*10^-15 meters.
Now ask to plot from negative infinity to positive infinity. How large would the plot be?
Well, after only 10^15 the plot would already be 3 metres wide. But 10^15 is a negligible fraction of infinity; there are physical quantities in the range of 10^88 so we should be expecting at least 10^73 meters. But even 10^88 is a negligible fraction of infinity.
If you use any finite size per pixel, then to plot an infinite range, you need an infinitely large physical plot. Even if the size per pixel were only the Planck distance (the distance below which the scale structure of the universe itself breaks down.)
