Final answer:
The output when x = 2 is -4.
Step-by-step explanation:
If a relation is defined by: [(4,3), (-2, -1), (2, -4), (0, -4)], the output is the y-value associated with the given x-value. The output when x = 2 is -4. In this case, if x = 2, the output would be -4. The x-value of 2 corresponds to the point (2, -4).
If a relation is defined by the set {(4,3), (-2, -1), (2, -4), (0, -4)}, and we are asked to find the output for x = 2, we look at the pair where the first number (which represents x) is 2. In this set, the pair (2, -4) shows us that the output for x = 2 is -4. The output when x = 2 is -4.
Similarly, for x = 0, we identify the pair in the set where the first number is 0. Here, the pair (0, -4) indicates that the output for x = 0 is also -4.