Make one giant leap forward accessibility and usability with adding the option to have text fields under the range slider to edit the values.
Example: Imagine you're looking for car and a house and you have a fixed budget. It would be nice if you could enter that directly under the range slider. The range slider actually doesn't "snap" into whole whole so you often have something like:
Price range
4.512 to 45.029
which doesn't make sense.
Everyone loves to set budgets like
Price range
4.500 to 45.000