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x=y^6 Define whether it is a function or not.

 Oct 15, 2014

Best Answer 

 #1
avatar+130511 
+5

This is not a function because it doesn't pass the vertical line test. Notice that if y = -1, then x = 1. And if y = 1, x =1.   So the points (1, -1) and (1, 1) are on the graph. But the same x value can't have two y values associated with it, since the vertical line x = 1 would go through both points.

 

 Oct 15, 2014
 #1
avatar+130511 
+5
Best Answer

This is not a function because it doesn't pass the vertical line test. Notice that if y = -1, then x = 1. And if y = 1, x =1.   So the points (1, -1) and (1, 1) are on the graph. But the same x value can't have two y values associated with it, since the vertical line x = 1 would go through both points.

 

CPhill Oct 15, 2014

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