Functions

f(x)=x3−x is not one-one function as f(A)=f(0)=f(−1)=0f(x)=x3−x is a polynomial function and every polynomial fanction is continnous and differentiable in its domala.
If x⟶∞, then f(x)⟶∞ [∵f(x) is a cubic function ]
If x⟶−∞, then f(x)⟶−∞
So, ⟶ ∞
f(x) ∈ R andx∈R
∴ f(x) is onto function.