My favorite American funk rock band is the Red Hot Chili Peppers! Have you heard of them?
I think so, they had some hits back in the day
Yes, they've been around for quite some time. They formed in 1983 in Los Angeles.
are they still together or did they break up? 
They're still together! Although only vocalist Anthony Kiedis and bassist Flea were the only original members of the group.