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STD 12 - 1. relation and function — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 1. relation and function4 Marks
MCQ
Let a function $f:\left( {0,\infty } \right) \to \left( {0,\infty } \right)$ be defined by $f\left( x \right) = \left| {1 - \frac{1}{x}} \right|$. Then $f$ is
  • A
    not injective but it is surjective
  • B
    injective only
  • ✓
    neither injective nor surjective
  • D
    both injective as well as surjective
✓

Answer

Correct option: C.
neither injective nor surjective
c
$y = \left| {1 - \frac{1}{x}} \right|$

Neither one -one nor Onto

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