Frequency response (FR) in this context generally refers to the range of sound frequencies your equipment is capable of reproducing.
Human hearing is generally regarded to have a threshold of 20 Hz (low frequencies - usually needs a subwoofer to be properly reproduced) to 20 kHz (ear piercingly high - if I am not mistaken anything above 2 to 3 kHz is reproduced by a tweeter).
From what I understand, you'd have to be pretty lucky to have full range hearing, and unfortunately the older you get the more likely the frequencies you are able to perceive diminishes.
Most, if not all amps / receivers nowadays can truthfully reproduce full range FR. The main area to pay attention to when purchasing equipment if you wish to be served full range audio is your speaker selection.
Not all subs go down to 20 Hz. Most speakers typically will approximately cover about 60 Hz to 20 kHz.
When you shop for speakers, hopefully you will see a rated frequency response looking generally like this:
65 Hz to 20 kHz +- 3dB
This means this particular speaker has been tuned to reproduce audible frequencies from 65 Hz to 20 kHz with no more than a 3 dB variance in output from one end of that spectrum to the other... That particular speaker may have the ability to reproduce slightly lower frequencies, but it will roll off quite sharply after the stated FR low end... say -6 dB or possibly worse.
You want to make sure that your speakers' FR does not leave any gaps in between the audible spectrum... for example where your sub rolls off and your mains pick up... say if your sub is crossed over at 80 Hz but your mains can only reproduce 90 or 100 Hz and above that's not optimal.
All this being said, most music only has an audible range of approximately 40 Hz to 20 kHz... and you more than likely won't have a subwoofer outside so my recommendations are to get a set of speakers that can authoritatively reproduce low end as close to 40 Hz as possible. (That probably will cost you more $$$, of course.)