How do you find the domain and the range of the relation, and state whether or not the relation is a function (2,1) (3,1) (3,2) (4,1) (4,2) (4,3)?

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Answer 1 · 2016-06-05T22:29:39

Domain: #{2, 3, 4}#.
Range: #{1, 2, 3}#.
Not a function.

Given:

#(2, 1)#, #(3, 1)#, #(3, 2)#, #(4, 1)#, #(4, 2)#, #(4, 3)#

The domain is the set of first elements of each pair, namely:

#{2, 3, 4}#

The range is the set of second elements of each pair, namely:

#{1, 2, 3}#

This relation is not a function.

For example, the pairs #(3, 1)# and #(3, 2)# define conflicting values for #f(3)#.