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Setting a bar graphs x axis width?


I’m trying to create a line graph that plots some values (y) against time (x).
There are a few possibilities I want to investigate, both involving toying with the x axis.

The main thing I’d like to do is set a dual label along the x axis. An example here:

My own preference would be to have days and weeks split into two.
And then, to take the further, possibly plot a secondary bar graph from the weeks cumulative value, with the line graph representing day by day data.

Any Help?