The desired example is this: x=y^2 Because for each x>0 we have two different possible y values which means it is not a function anymore. a function should only maximum 1 y value for each x value.
You can see the above relation has multiple possible values for y because if we take x=1 then y can be -1 or 1.
The relation given by x = y 2 is not a function because each positive value of x corresponds to two possible values of y . Therefore, it fails the definition of a function, which states that each input should have a single output.
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