Is the relation {(3, 5), (–4, 5), (–5, 0), (1, 1), (4, 0)} a function? Explain.
1 Answer
Sep 12, 2017
Yes this is a function, since the
Explanation:
Given the set:
#{ (3, 5), (-4, 5), (-5, 0), (1, 1), (4, 0) }#
The domain is the set of
#{ 3, -4, -5, 1, 4 }#
Notice that these are all distinct, hence the relation has exactly one
So this is a function.
By way of contrast, the range of the relation is the set of
#{ 5, 5, 0, 1, 0 } = { 0, 1, 5 }#
The