An amplifier's "bandwidth" is often specified at the -3dB points, so there might be plenty of interesting things going on outside the spec sheet bandwidth.
In general, one might wish to explore around a bit. Set the initial sweep to 'DC to Daylight' just to confirm that nothing funny is going on. And then narrow in on whatever it is that you're specifically interested in.
Worth mentioning that there's a trade-off with resolution bandwidth, in that a scan might take longer. Not a big deal if everything is steady state, but when trying to capture transient activity it becomes an explicit trade-off.
It's worthwhile to connect an antenna to a spectrum analyzer, and explore the effect of the various settings while viewing (for example) the FM Broadcast band.