Question

what is the range of the following relation: (9,-2)(4,3)(8,10)(-4,8) options: (9,-2)(4,3); -4,4,8,9; (8,10)(-4,8); -2,3,8,10

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 ordered pairs

The given relation has ordered pairs: \((9, -2)\), \((4, 3)\), \((8, 10)\), \((-4, 8)\)

Step3: Extract the y - values

From the ordered pairs, the y - values (second elements) are \(-2\), \(3\), \(10\), \(8\)

Step4: Match with the options

Looking at the options, the set \(-2, 3, 8, 10\) (the last option) contains all these y - values.

Answer:

-2, 3, 8, 10 (the last option among the given choices)