Because drivers have a spectrum over which they perform well, without damage. This spectrum does not cover the entire scope of our hearing however, so we need to use two or more, each covering a portion of the range of sound, hence Woofer / Mid / Tweeter. The Crossover sends the appropriate band of the spectrum to whichever driver has been designed to handle that band, Thereby reducing the potential for damage and or distortion to /from any of the drivers by trying to get them to work outside their comfort zone. Of course adding a crossover adds it's own problems such as insertion loss and phase issues. Often people (including myself) prefer the sound of a single wide range driver despite their inherent reduction in output at the frequency extremes because the sound that is produced is not subject to the bashing it gets in a crossover. Of course there are active crossovers too and these go someway to reducing phase issues associated with passive crossovers but require the use of extra amplification.
They swim... the mark of Satan is upon them. They must hang.
FLAC / WDTV Live / Cambridge Audio / Tannoy VX12