Question:
(c) The modulus function \( f: \mathbb{R} \to \mathbb{R}^+ \) is given by \( f(x) = |x| \); then it will be:
(c) The modulus function \( f: \mathbb{R} \to \mathbb{R}^+ \) is given by \( f(x) = |x| \); then it will be:
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Modulus functions are many-one due to symmetry around the origin and map all negatives to positive values.
Updated On: Mar 1, 2025
- one-one
- many-one
- not onto
- none of these
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The Correct Option is B
Solution and Explanation
Themodulusfunction\(f(x)=|x|\)mapsevery\(x\in\mathbb{R}\)toanon-negativerealnumber\(\mathbb{R}^+\).
Foranypositive\(y\),both\(x=y\)and\(x=-y\)maptothesameoutput,making\(f(x)\)many-one.
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