Question

Which of the following relations has a range of {-8, -6, 4}?

A. {(-8,2), (-6,2), (4,2)}
B. {(-8,2), (-6,4), (2,4)}
C. {(1, -8), (4, -6), (1, -6) (4, -4)}
D. {(1, -8), (4, -6), (1, -6) (5,4)}

Answer 1

D. {(1, -8), (4, -6), (1, -6) (5,4)}

Explanation:

The Range of a Relation

Is the set of all second elements of ordered pairs (y-coordinates). Only the elements used by the relation or function constitute the range.

For example, for the ordered pair of a relation (5,2), 5 belongs to the domain and 2 belongs to the range.

Given the range {-8,-6,4} we only have to go through the options and check which one has these values as the second element of the ordered pairs.

Note option D has y-coordinates -8, -6, -6, and 4. Those values correspond to the given range, thus the answer is

D. {(1, -8), (4, -6), (1, -6) (5,4)}