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The same as you would graph x=y. If you take the square root of both sides you get x=y

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You also need to add the graph of x=-y, since x2=y2 is the same as x=+/-y. For example, (-1,1) is a solution to this equation since (-1)2=1=(1)2.

You can see that x is not a function of y (and y is not a function of X) because for each value of x that satisfies the equation, there are two values of y possible. For example, (-1,1) and (-1, -1) both satisfy the equation.

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