Final answer:
The domain of the set T = {(-2, -8), (-5, -6), (-2, 3)} is the set of first elements from each ordered pair, yielding {-2, -5} and the range is the set of second elements, resulting in {-8, -6, 3}.
Step-by-step explanation:
The question is asking to determine the domain and range of a given set T. The set T is a collection of ordered pairs, which can represent points on a coordinate plane or input-output pairs in a function. The domain of a set of ordered pairs is the set of all the first elements from each ordered pair, and the range is the set of all the second elements.
In the set T = {(-2, -8), (-5, -6), (-2, 3)}, the domain is the set of the first components of each ordered pair, which are -2 and -5. Therefore, the domain is {-2, -5}. The range is the set of the second components, which are -8, -6, and 3. Hence, the range is {-8, -6, 3}.
To write them out:
- Domain: {-2, -5}
- Range: {-8, -6, 3}
The domain of a function refers to the set of all possible input values, or x-values, for which the function is defined. The range of a function refers to the set of all possible output values, or y-values, that the function can produce.
In this problem, the domain of T is {-2, -5} because these are the x-values given in the set of ordered pairs. The range of T is {-8, -6, 3} because these are the corresponding y-values in the set of ordered pairs.
So, the complete domain is {-2, -5} and the complete range is {-8, -6, 3}.