Question

what is the range of the relation below?
{(-4, 1), (-2, 0), (8, -1)}
a. {1, 1}
b. {-1, 0, 1}
c. {-4, -2, 8}
d. {-4, -2, -1, 0, 1, 8}

Explanation:

Step1: Recall the definition of range

The range of a relation (set of ordered pairs) is the set of all the second elements (y - values) of the ordered pairs.

Step2: Identify the second elements

For the relation \(\{(-4, 1), (-2, 0), (8, -1)\}\), the second elements of the ordered pairs are \(1\), \(0\), and \(-1\).

Step3: Form the range set

We collect these second elements and form a set (removing duplicates, though there are none here). So the range is \(\{-1, 0, 1\}\).

Answer:

B. \(\{-1, 0, 1\}\)