cats that are kept inside as pets are called house cats.
What are they called when they go outside?
Then they are just a cat unless it is a stray.
How about alley cat? Is that not a thing?
I am not sure but there are more than 70 breeds
Wow, I know in parts of China and Asia they are food.
Yes they are and they themselves are solitary hunters themselves.
Just like their big brothers in the jungle and savanna.