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# Let $|x| = \left\{ \begin{array}{l l} x, & \quad if\: x \geq 0 \\ -x, & \quad if\: x < 0 \end{array} \right.$ where x $\in$ R  Does the relation {(x, y) | y = |x|, x $\in$ R} define a function? Find its range

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Range will be the set of non-negative real numbers (either positive or zero).
answered Jun 29, 2014