Attached is a basic app made hastily in App Designer.
There are UI elements including a UIAxes for plotting, and callbacks attached to those elements. The startupFcn callback, triggered when the app is opened, plots the data. There are two main views in app designer: Design view, for defining UI elements, and Code view, for...code.
When you run the app, changing a value in one of the text boxes triggers its ValueChangedCallback, which changes the xlims of the plot. You can also change the limits using the interactive zoom control above the axes.
Hitting the save button triggers its ButtonPushedCallback, which saves the data between the axes xlims.
Designing a GUI is a goal with any number of valid solutions. Matlab's documentation is quite good, and you might start by poking around the App Designer Help, if this is what you're looking for.
