Final answer:
The range of the function represented by the ordered pairs (-1, 8), (0, 3), (1, -2), and (2, -7) is {8, 3, -2, -7}.
Step-by-step explanation:
The range of a function consists of all the possible values of the dependent variable (usually y), which result from plugging the domain (the set of all the possible values of the independent variable, usually x) into the function. In this case, the student is provided with a set of ordered pairs representing a function, which are (-1, 8), (0, 3), (1, -2), and (2, -7). To find the range, we simply list all the second elements of these ordered pairs, which are the y-values.
The range for this set of ordered pairs is {8, 3, -2, -7}. These are the y-values from the given pairs, and each one corresponds to one x-value, ensuring that the relationship is indeed a function.