Which of the following functions from R to R is a bijection? A. f(x) = x² + 1 B. f(x) = |x| C. f(x) = x³ D. f(x) = sin x Answer: C) f(x) = x³ Explanation: f(x) = x³ is strictly increasing on R, so one-one. For any y ∈ R, ∛y ∈ R and f(∛y) = y → onto. Others fail one-one or onto or both.

imo class 12 relations and functions

Which of the following functions from R to R is a bijection?

VAVidaara Admin Asked 6d ago 0 views 0 answers

Which of the following functions from R to R is a bijection?

Answer: C) f(x) = x³

Explanation: f(x) = x³ is strictly increasing on R, so one-one. For any y ∈ R, ∛y ∈ R and f(∛y) = y → onto. Others fail one-one or onto or both.