Source: Extra Practice
Determine the range of the relation R defined by R = {(x, x+5) : x ∈ {0, 1, 2, 3, 4, 5}}.
Options
Option A
{0, 1, 2, 3, 4, 5}
Option B is correct
{5, 6, 7, 8, 9, 10}
Option C
{1, 2, 3, 4, 5, 6}
Option D
{0, 5, 10, 15}
Explanation
The range is the set of all second elements in the relation. For x=0, y=5; x=1, y=6; x=2, y=7; x=3, y=8; x=4, y=9; x=5, y=10. Thus, the range is {5, 6, 7, 8, 9, 10}. Option 1 is the domain. Options 3 and 4 contain incorrect values not generated by the relation's rule.