Zaymiey

📐 Mathematics  ·  Relations and Functions  ·  JEE

f: [0, ∞) to [0, ∞) defined by f(x) = x/(1+x). The function is:

Answer: Injective but not surjective.

  • A Bijective
  • B Injective but not surjective
  • C Surjective but not injective
  • D Neither

Correct answer: B. Injective but not surjective

Explanation: f is strictly increasing (injective). But f(x) = x/(1+x) < 1 for all x >= 0, so 1 belongs to codomain but not range. Not surjective.

Concept context

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

Read the full Relations and Functions notes →