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Answer's^^^
To identify a function from a relation, check to see if any of the x values are repeated - if not, it is a function. If any x values are repeated, and the corresponding y values are different, then we have a relation and not a function
step-by-step answer^^
A relation is not a function if more than one output value corresponds to an input value. Here are some examples of relations that are not functions:
Multiple outputs for an input
For example, the relation {(1,0); (1,2); (2,3)} is not a function because the input of 1 has more than one output.
Repeated x-values with different y-values
For example, the relation A = {(1, 5), (1, 5), (3, -8), (3, -8), (3, -8)} is not a function because the x-value 1 is repeated twice, but the corresponding y-values are different. y = ± x and x 2 + y 2 = 9 are examples of non-functions because there is at least one -value with two or more.