A full-range speaker is nothing more than several part-range speakers packaged together, as no single driver can effectively cover the entire range of human hearing while allowing good volume, power-handling, and efficiency. The three-way speaker design has historically been most successful at dividing the spectrum optimally. Two-way designs tend to sacrifice mid-range or bass, or sometimes the extreme top end, depending on the design. The ported Rogers Studio 1 and Spendor BC-1/SP1/2 are very highly evolved two-ways, and in respects come very close to the ideal speaker. I owned the Rogers Studio 1 for 20 years, but ultimately I became dissatisfied with the coloration of the mid-band caused by using the 8" woofer/mid-range at such high frequencies. The mid-range always seemed 'slow'. This design used a tweeter and super-tweeter, along with a driver that covered the bass and a large part of the mid-range. The port allowed a deep bass, but it was 'boomy' at times. I sold those in 2002 and went to the true three-way Ymaha NS-1000M, with which I am supremely happy. The bass may not go down quite as deep as the Rogers, but the difference is hardly noticeable. I think some of the "deep bass" iwa shearing from the Rogers was in fact just distortion.
A few full-range speakers may have built-in subwoofers, but in fact very little programme material is found below 50Hz. Reproducing sound below that frequency is very difficult and expensive. I would not demand that a full-range speaker do that, but instead suggest that you consider a sub-woofer. Since bass below abot 200Hz is non-directional, it does not matter that the box is separate.
A few full-range speakers may have built-in subwoofers, but in fact very little programme material is found below 50Hz. Reproducing sound below that frequency is very difficult and expensive. I would not demand that a full-range speaker do that, but instead suggest that you consider a sub-woofer. Since bass below abot 200Hz is non-directional, it does not matter that the box is separate.