Answer: Bijective.
- A Injective but not surjective
- B Surjective but not injective
- C Bijective
- D Neither
Correct answer: C. Bijective
Explanation: f is strictly increasing (one-one). For any y in (-1,1): if y>=0, x = y/(1-y) works; if y<0, x = y/(1+y) works. So f is onto (-1,1). Hence bijective.
Concept context
Ordered pairs, Cartesian products, types of relations and functions, domain and range. Foundation for calculus and Class 12 algebra.