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RELATIONS AND FUNCTIONS — MATHS STD 11 Science — Question

Gujarat 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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