1.
f:R→Rf : \mathbb{R} \to \mathbb{R}, f(x)=λx+sin⁡xf(x) = \lambda x + \sin x is onto if λ\lambda is an element of the set PP and f(x)f(x) is one-one if λ\lambda is an element of the set QQ, then (given λ\lambda is a real number)