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But we can assume there is a function f(x) such that: f(1) = 11 f(2) = 20 f(3) = 34 f(4) = 41 So the ordered pairs will be: (1, 11), (2, 20), (3, 34) and (4, 41) The justification is for each point in the domain: 1, 2, 3, 4 we have assumed a function that has one unique value in the range. So it is a function.
We can create another relation g(x) such that: f(1) = 11 or 20 f(2) = 20 f(3) = 34 f(4) = 41 So the ordered pairs are: (1, 11), (1, 20), (2, 20), (3, 34), (4, 41) Here g(x) is a relation but it is NOT a function because for the same value x=1, g(x) can can have two different values of y.
oh ok i get it :) thanks !
:-)
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