Determine the range of the relation R defined by R = {(x, x+5) : x ∈ {0, 1, 2, 3, 4, 5}}.
Model Answer & Options
Source: Extra Practice{0, 1, 2, 3, 4, 5}
{5, 6, 7, 8, 9, 10}
{1, 2, 3, 4, 5, 6}
{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.
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