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Relations and Functions — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsRelations and Functions1 Mark
MCQ
$\text{f}(\text{x})={\frac{\text{|x|}}{\text{x}}}$ for $ \text{x} ≠ 0$ and $ 0$ for $ \text{x} = 0$ Which function is this?
  • A
    Constant
  • B
    Modulus
  • C
    Identity
  • ✓
    Signum function
✓

Answer

Correct option: D.
Signum function
$\text{f}(\text{x})={\frac{\text{|x|}}{\text{x}}} \{$for $ \text{x} ≠ 0$ and $0$ for $ \text{x} = 0\}.$
Function is $\{(-3, -1), (-2, -1), (-1, 1), (0, 0), (1, 1), (2, 1), (3, 1), …….\}$
This is signum function.

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