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📐 Mathematics  ·  Relations and Functions  ·  JEE

The range of the function f(x) = x/(1 + |x|) is:

Answer: (−1, 1).

  • A (−1, 1)
  • B [−1, 1]
  • C R
  • D (0, 1)

Correct answer: A. (−1, 1)

Explanation: As x varies over R the values approach but never reach ±1, so the range is (−1, 1).

Concept context

Ordered pairs, Cartesian products, types of relations and functions, domain and range. Foundation for calculus and Class 12 algebra.

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