We are creating Sql Server Views as a basis for Power BI Chart on a webpage. This works perfect!
However, I was wondering if there was the functionality (or a way) to add two text box on the web page, and let one be start date and one be end date, and once the user has input both dates they hit a submit button, which would in turn update the view that the Power BI chart is based on and update it to only show the date range that was input.
But what you can do is connect to your data source via DirectQuery feature and include data column in that dataset. Then in power bi desktop create a table manually containing StartDate and EndDate columns with date (or you can create this table in your data source and connect to it). In power bi desktop relationship editor create relationship between two date tables. Create slicers for both start and end date columns. Then when published to power bi service and shared with your users. When they select values in start and end date slicers data they see on visual will be filtered.
So not exactly the way you wanted which is to pass values entered in power bi back to your data source. That is currently not possible.