Mathematics

Mathematics

Problem

For k≠0k \neq 0, let fk:R→(−2,2)f_k:\mathbb{R}\to(-2,2) be defined by fk(x)=kx1+∣x∣ f_k(x)=\frac{kx}{1+|x|} . Which one of the following statements correctly describes the set of all values of kk for which fkf_k is onto its codomain (−2,2)(-2,2)? a) all real kk satisfying k=2k=2 b) all real kk satisfying ∣k∣≥2|k|\ge 2 c) all real kk satisfying ∣k∣<2|k|<2 d) all real kk satisfying ∣k∣≤2|k|\le 2

Browse the problem library