Range hoods fix this issue by eliminating the polluted air to the outside (ducted installation) or cleansing it with a series of filters (ductless/ recirculating setup). Besides the obvious benefit of maintaining the kitchen air odorless, array hoods supply numerous other, much more subtle, benefits.
The hot, moist, greasy effluent stream created by food preparation is sucked in and also tired outside, rather than letting it blow right in your face. Any type of cook that spends a significant quantity of time in the kitchen environment will attest to the difference between food preparation in comfort, and needing to sustain a steam bath for several hrs.
Whether the kitchen design calls for a big angular "pro-style" hood, or a smooth Italian charm with rounded glass, or a timeless hood with wood trim, there is a perfect layout out there to match any kind of kitchen.