Is there a way to run my .fs file with either a breakpoint or a command like System.Diagnostics.Debugger.Launch() in it so that I can use FSI to examine values, apply functions to them, plot them, etc.?
I know this question has been asked before but I tried the answers and could not make them work. Clear instructions or a link to a write-up explaining the process would be of great help not only to myself, but also, I believe, to all beginners.
Unfortunately, you cannot hit a breakpoint and jump into FSI. The context of a running .NET program is quite different to that of an interactive FSI session and they are not compatible enough to just switch between one or the other. I can understand an expectation of this kind of debugging when coming from other dynamic/interpreted languages such as JavaScript, Python etc. It is a really powerful feature.
As you have already noted, you can use the VS immediate window but you need to use its C#-like syntax and respect its limitations. Also, since it's not F#, you need to understand the F# to .NET conversion in order to make full use of it.
If you use Paket for dependency management in your project you have another option: Add generate_load_scripts: true to your paket.dependencies. This will give you a file like .paket\load\net452\main.group.fsx, which you can load into FSI to get all of the dependencies for your project. However, you are still responsible for loading in your own source files and building up some state similar to what is found at your desired breakpoint.