Determine which of the following sets represents a function.?

Question

a) {( − 6 , 5 ) , ( − 6 , − 5 ) , ( 2⁄5 , 6 )} 


b) {( − 6 , 5 ) , ( − 6 , 6 ) , ( 2⁄5 , 6 )} 


c) {( − 6 , 5 ) , ( 6 , − 5 ) , ( − 6 , 6 )} 


d) {( − 6 , 5 ) , ( 6 , − 5 ) , ( 2⁄5 , 6 )} 


e) {( 6 , 5 ) , ( 6 , − 5 ) , ( 2⁄5 , 6 )}

Answer 1

a)

A  function  is a special type of relation in which each element of the domain is paired with exactly one element of the range.

The relation { (-6, 5), (-6, -5), (2/5, 6) }

The relation is  not a function because the  element (-6) of the domain is paired with  two elements of the range (5 and -5).

Answer 2

b) The relation { (-6, 5), (-6, 6), (2/5, 6) }

The relation is  not a function because the  element (-6) of the domain is paired with  two elements of the range (5 and 6).

Answer 3

c) The relation { (-6, 5), (6, -5), (-6, 6) }

The relation is  not a function because the  element (-6) of the domain is paired with  two elements of the range (5 and 6).

Answer 4

d) The relation { (-6, 5), (6, -5), (2/5, 6) }

The relation is  a function because the each element of the domain is paired with exactly one element of the range.

Answer 5

e) The relation { (6, 5), (6, -5), (2/5, 6) }

The relation is  not a function because the  element (-6) of the domain is paired with  two elements of the range (5 and -5).