Final answer:
Option D, with ordered pairs (-1, 0), (0, 1), (2, 1), (3, 4), has the range of {0, 1, 4}, as it contains the y-values required.
Step-by-step explanation:
The student has asked which set of ordered pairs has a range of {0, 1, 4}. The range of a set of ordered pairs is the set of all second elements in the pairs. We need to look for a set where the y-values (second elements) are 0, 1, and 4. Here's a breakdown of the answer options:
- A. (0, 0), (0, 1), (4, 1) - This option has y-values of 0 and 1, but not 4.
- B. (0, 2), (1, 2), (4, 2) - This option has only the y-value of 2.
- C. (0, 0), (0, 1), (0, 2), (0, 4) - This option has y-values of 0, 1, 2, and 4, but we don't need the 2 for the range.
- D. (−1, 0), (0, 1), (2, 1), (3, 4) - This option has y-values of 0, 1, and 4, which matches the range we're looking for.
The correct answer is D, which has a range of {0, 1, 4}.