Final answer:
The domain and range of a reciprocal function are both the set of all nonzero real numbers, which corresponds to option B) Real Numbers and Nonzero Real Numbers.
Step-by-step explanation:
The domain of a reciprocal function, which is a function of the form f(x) = 1/x, consists of all real numbers except for zero because division by zero is undefined. Therefore, the correct answer to the reciprocal function domain and range question is B) Real Numbers and Nonzero Real Numbers.
The range of a reciprocal function is also all nonzero real numbers because the output of f(x) cannot be zero; there is no real number you can input to obtain zero as the output. The reciprocal of any non-zero real number is a non-zero real number.
Understanding the domain and range of a function is critical in mathematics because it defines the set of possible input and output values.
In practice, work with functions also involves attention to detail, such as operations with signs and approaching the problem systematically, as indicated by the practice test questions about multiplication and addition rules.