Examples: Focus RS, Subaru WRX, most AWD or 4wd cars with decent engine power
Function: Deliver people or supplies in a hurry over bad roads or very gentle offroading at good speeds, (mostly) regardless of conditions. Get someone to the hospital, deliver something important. Also probably able to get other cars unstuck from minor issues like snow/ice thanks to AWD, and maybe tow the smallest of trailers. Better than most cars, but mostly just fun to drive.
JeepsVehicle archtype: SUV
Examples: Jeep Wrangler/unlimited, Suzuki Samurai/Jimny, Hummer H1
Function: Go places, move stuff. Able to climb rough stuff, it's unlikely to get stuck and good at doing such things as dragging trees out of the road, hauling vehicles from ditches or clear of where they're stuck, and moving people and things through sometimes awful terrain. Usually able to haul at least medium trailers. Some larger models overlap with trucks in places, and certain exceptionally c-capable vans may be considered in this region
TrucksVehicle Archtype: Pickup Truck
Examples: Ford F series, Ram trucks, toyota... seriously, fullsize and larger trucks
Function: As SUV, but with less people space (usually) and a lot more hauling capacity, both internally and externally. Larger footprint is harder to manage off road, but the power is retained for such things as hauling debris out of the way and freeing trapped vehicles. Occasionally more capable examples will show up in the news following disasters doing such things as fording floodwaters and such with a load of supplies from nearby towns. Larger examples can excel in towing enormous loads, which are often used as an advertising factor. Curiously, often get better fuel economy than
Compounding the problem are not always classified vehicles;
Questionable UtilityVehicle examples: Light Trucks, Crossovers
Problems: Both are lesser versions of above classes, smaller, sometimes cheaper, and lacking most of the actual capabilities. Crossovers tend to be functionally minivans with a facelift, while light trucks are analogous to things like the el camino and el ranchero of old, with sport versions attempting to gain the capabilities of a full truck but usually failing fairly miserably (ex, sport versions of light trucks have no fuel savings over there larger counterparts, precious little cost savings, and far less room). OTOH, there's basically no light trucks left in the states new production, if you're looking at that.