Final answer:
The domain of a piecewise-defined function is the set of all input values for which the function is defined. The options given represent various types of domains, but the specifics of the function are needed to determine the correct domain in interval notation.
Step-by-step explanation:
To determine the domain of a given piecewise-defined function, we must look at the range of input values (x-values) for which the function is defined. Without the specifics of the function provided in the question, we cannot give an exact domain. However, we can discuss the general meaning of the options provided:
- a) (-∞, ∞) represents all real numbers.
- b) [0, ∞) represents all real numbers greater than or equal to zero.
- c) (-∞, 0] ∪ (0, ∞) represents all real numbers except for zero.
- d) [0, 1] represents all real numbers between and including 0 and 1.
The given interval options suggest that the domain could be all real numbers, only non-negative numbers, all real numbers excluding zero, or a closed interval between 0 and 1. To choose the correct option, one would need to analyze the function itself, noting any restrictions or discontinuities that might limit the domain.