Final answer:
The statement is true; the exit() function can terminate a program immediately, irrespective of the form of control mechanism active at the time of call.
Step-by-step explanation:
The statement that you can use the exit() function to terminate a program, regardless of which control mechanism is executing, is True. The exit() function is a standard library function in many programming languages, such as C and C++, and it is used to terminate the execution of a program immediately. When exit() is called, it will halt the current process, and control will return to the operating system. This function can be invoked from anywhere within the code, interrupting any control flow mechanisms such as loops, branches, or function calls.