If the following functions are defined from [-1, 1] to [-1, 1], select those which are not bijective.

f(x)=sin⁡sin−1⁡x=x∀x∈[−1,1], which is one-one and onto.f(x)=2πsin−1⁡(sin⁡x)=2πxThe range of the function for x∈[−1,1] is −2π,2π, which is a subset of [-1, 1].Hence, the function is one-one but not onto and, hence, is not bijective.f(x)=(sgn⁡(x))ln⁡ex=(sgn⁡(x))x=x,    x>0−x,    x<00,    x=0.This function has range [0, 1] which is a subset of [-1, 1].Hence, the function is into. Also, the function is many-one. f(x)=x3sgn⁡(x)=x3,x>0−x3,x<00,x=0which is many-one and into.