Final answer:
In the C++ function, the variable x is categorized as stack-dynamic, and its lifetime is confined to the duration of the function call; it is created when the function is called and destroyed when the function returns.
Step-by-step explanation:
In the given C++ function f(), the variable x is categorized as stack-dynamic. Variables defined in this manner are allocated on the call stack and have their memory assigned at the point of function invocation. The variable x is an automatic variable, and as such, it is allocated when the function f() is called and deallocated when the function returns. Therefore, the lifetime of variable x is limited to the duration of the function call—it begins when the function is called and ends when the function returns.