Question

What is the range of the relation (8,–9),(–9,8),(2,10),(–8,8),(–4,–8),(2,7)(8,–9),(–9,8),(2,10),(–8,8),(–4,–8),(2,7)? a) (−,9](−, 9] b) (−,10](−, 10] c) [7,10)[7,10) d) [7,9][7,9]

Answer 1

The range of the relation is the set of 'output' values from the ordered pairs. After listing these values, we identify that the range of the given relation includes the numbers 7 to 10, inclusive of both. Therefore, the correct answer is option c [7,10].

Step-by-step explanation:

The student is asking for the range of a given relation. To find the range, we look at the second values in each ordered pair as these represent the 'output' values of the relation. The given relation contains the following second values: -9, 8, 10, 8, -8, 7. Arranging these from least to greatest, we have -9, -8, 7, 8, 8, 10. Hence, the range of the relation is from 7 to 10, including both 7 and 10 since they are present in the relation.

The correct answer is therefore option c [7,10].