Doppelgangland 
Break Down
The most obvious thing about Faith in this episode is that she's had a makeover. Everything from hair to clothing has changed. Her inner makeover was meant to have happened in 
Consequences. The viewer can be forgiven for thinking that the two Watchers, Buffy and Willow are about as observant as lampposts. But they've noticed, they just haven't said anything. Buffy's attitude to Faith is odd. It's almost a warning to her. Faith has reason to be uncomfortable. Buffy doesn't. Indeed, if Buffy was to honestly follow her supposed 'caring' plan in Consequences of "not giving up on her", she's got a bizarre way of doing it! Because, frankly, she's given up on her already!
The most interesting part of this episode (Faith-wise) is obviously the start of the father/daughter relationship between herself and the Mayor. Faith's off to a bad start as it is, as she's mistaking material things for love. Although, it must be said, as the arc progresses, the Mayor does genuinely care for Faith and vice-versa.
Faith's apparent total lack of caring for Willow's imminent death is obviously the biggest leap post-Bad Girls. Although, it must be noted that even though she overcame it quickly, she was concerned.
What people must remember from here on is that Faith has given up on herself. She's chosen a road that she honestly believes others believe she should be going down. It's the cruelest irony of all that, while traveling this road, Faith finally finds her confidence. Thanks to constant compliments on not only her looks (which she never really buys), but also her talents and abilities, the Mayor instills in Faith the very things she's been craving. Attention, love and approval.