Circuits help: how to use Transient Response to interpret bandwidth?

Question

So I'm trying to study for finals and I am stuck on a concept. Does anyone know how to relate a Transient Response of a first order system to the bandwidth of the filter?

Does the transient response fall faster for a higher bandwidth or something?

thanks

Answer 1

Bandwidth X Trise = .35

http://www.tek.com/Measurement/App_Notes/Technical_Briefs/bw_rt/55_18024_0.pdf