Formula to check if a date falls within a date range, then returns a corresponding cell

Hello,

I am trying to create a formula that will take a selected date, check to see which date range it falls in, and then have it return a cell that is the corresponding id number to the range. So for the file that I have attached, I want to take a specific date in the column "Date" check to see which range it falls in between the Start Date and End Date, and then have the ID that is associated with the date range put into column F, next to column E.