Show that the Modulus Function

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

4. Show that the Modulus Function f:R→Rf: \mathbf{R} \rightarrow \mathbf{R}, given by f(x)=∣x∣f(x)=|x|, is neither oneone nor onto, where ∣x∣|x| is xx, if xx is positive or 0 and ∣x∣|x| is −x-x, if xx is negative.

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