Question 1188640
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The answer is     {{{highlight(No)}}}.


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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>EXPLANATION</U>


For example, for x = 4, we have two values y= 1 and y= -1 both satisfying the equation.


But, according to definition of function, the value, corresponding to x= 4 should be UNIQUE.
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Solved and thoroughly explained.



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By the way, &nbsp;the given &nbsp;<U>relation</U> &nbsp;determines &nbsp;x &nbsp;as a function of &nbsp;y.



But this relation does not determine &nbsp;y &nbsp;as a function of &nbsp;x.



So, &nbsp;be alert &nbsp;(&nbsp;!&nbsp;)



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Strictly speaking, &nbsp;your problem/question is defective&nbsp;: &nbsp;&nbsp;it asks if the relation determines a function, 


but does not tell &nbsp;WHICH &nbsp;function :  &nbsp;&nbsp;y = y(x)  &nbsp;&nbsp;or  &nbsp;&nbsp;x = x(y).



So, &nbsp;be alert &nbsp;TWICE &nbsp;(&nbsp;!&nbsp;)