Final answer:
The domain and range for the given points can be expressed as inequalities and interval notations: the domain is -2 ≤ x ≤ 7 (or [-2, 7] in interval notation) and the range is -3 ≤ y ≤ -2 (or [-3, -2]).
Step-by-step explanation:
When considering the two points (7, -2) and (-2, -3), we need to identify the domain and range. The domain refers to the set of all possible x-values, and the range refers to the set of all possible y-values that the function can take.
For the domain of the given points, since we only have two points, we can note that x can take the values 7 and -2. Expressed as an inequality, it's simply -2 ≤ x ≤ 7. In interval notation, this would be written as [-2, 7].
For the range, we look at the y-values, which are -2 and -3. Thus, the y-values can be anywhere between -3 and -2, including these endpoints. As an inequality, this would be -3 ≤ y ≤ -2. The interval notation for the range is [-3, -2].