They have broad ranges where I'm from, and are somewhat territorial in that they don't tend to live in groups. They don't come too much into conflict if territories overlap unless food is scarce, though.
Their primary use is mounted battle, yes, although obviously people use them for things like travel and carrying messages as well. Naturally the prevalence of what they're used for depends on, say, how much conflict a region is experiencing - they can be and are put to more peaceful use in peaceful times.
Tamed wyverns are considered extremely valuable, even more so than horses, simply because of how versatile a flying mount can be. That said, they're also considerably more resource-heavy to keep, and have a much more intensive training process, than either horses or pegasi. You usually find some wyvern-riders in any army or militia, but there aren't many places in the world so well provided for that they can maintain a lot of wyverns at once. Most militias will rarely have more than half a dozen for an entire noble's territory, and as for a country's army, there may only be a single company of them.
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Their primary use is mounted battle, yes, although obviously people use them for things like travel and carrying messages as well. Naturally the prevalence of what they're used for depends on, say, how much conflict a region is experiencing - they can be and are put to more peaceful use in peaceful times.
Tamed wyverns are considered extremely valuable, even more so than horses, simply because of how versatile a flying mount can be. That said, they're also considerably more resource-heavy to keep, and have a much more intensive training process, than either horses or pegasi. You usually find some wyvern-riders in any army or militia, but there aren't many places in the world so well provided for that they can maintain a lot of wyverns at once. Most militias will rarely have more than half a dozen for an entire noble's territory, and as for a country's army, there may only be a single company of them.