Let be defined by .

MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let f:R→Rf: \mathbb R \to \mathbb R be defined by f(x)=∣x∣f(x)=|x|. (i) Show that ff is not one–one on R\mathbb R. (ii) Identify a largest subset D⊂RD\subset \mathbb R on which ff becomes one–one and provide justification for your answer.

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