Word Count : 372

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We are asked to check whether ( f(x, y) = x^2 y^2 ) satisfies the Lipschitz condition in three domains. A function ( f(x, y) ) is Lipschitz continuous in (y) if there exists a constant ( L ) such that [ |f(x, y_1) - f(x, y_2)| \le L |y_1 - y_2| ] for all ( x ) and ( y_1, y_2 ____ ________ _________ ____ ___ _________ ____ ____ ___.
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