Get line chart showing minute data between time thresholds

Hi all! 

I have some 1-minute data values that I want to show in a line chart. For example, some stock data between 8am to 4:30pm, and I would like to show this for an entire week, or month, or year, whatever the user requires. This should look like this:

Its a messy graph, don't mind that please, but it has what I want. A nice and clean x and y axis, data filtered between 8am to 4:30pm. This graph is made in Python with the broken axes library. 

If I try to do something similar in Power BI, I get to this:

It does filter out the data I don't want to show, but it keeps the x-axis running. If I change the graph to Categorical, it does filter the x-axis, but then it tries to show every single x-axis timestamp which also makes for an ugly graph. 

I probably could make the Categorical graph work for 1 example, but the problem is that my users might want to see 1 day, then switch to 5 days, then 1 month, then 1 year. I doubt I can create a solution that's flexible enough to keep the x-axis neatly organised. 

I have a data example file ready but don't see a way to attach it to this post, am I allowed to share files here? 

If any other info is needed, please don't hesitate to ask!