Final answer:
To determine if a relation is a function or not, we need to check if there are any repeated x-values with different y-values.
Step-by-step explanation:
A relation is a function if each input (x-value) is associated with only one output (y-value). In other words, no two input values can have the same output value. To determine if a relation is a function or not, we need to check if there are any repeated x-values with different y-values. Let's analyze each relation:
a) (6,4), (-4, 2), (3, 1), (6,2) - This relation is not a function because the input value 6 is associated with both the output values 4 and 2.
b) (-4,4), (3, 2), (6, 1), (-6,5) - This relation is a function because each input value is associated with a unique output value.
c) (-6,4), (3, 3), (-4,1), (6,2) - This relation is not a function because the input value -6 is associated with output value 4 and the input value 6 is associated with output value 2.
d) (3,4), (-4,2), (3, 1), (-6, 2) - This relation is not a function because the input value 3 is associated with both the output values 4 and 1.
Therefore, the relation in option c) is not a function.