Final answer:
The domain of the given function is {0, -2, 1}. Option a is the correct answer.
Step-by-step explanation:
The domain of a function is the set of all possible input values (x-values) that the function can accept. For the given function with the set of ordered pairs {(0,2),(-2,-2), (1,4)}, the domain consists of the first elements in each ordered pair. Therefore, the domain of this function is the set {0, -2, 1}.
Looking at the multiple choice options provided, the correct answer is option a: {0, -2, 1}.