Concept:A function is one-one if distinct inputs give distinct outputs, and onto if every integer is attained.Explanation:Let f(a)=f(b).Then a3+2=b3+2.So a3=b3, which gives a=b.Hence f is one-one.For onto, we need every integer y to be of the form x3+2.Take y=0.Then x3+2=0⇒x3=−2.No integer x satisfies this.Hence f is not onto.Answer:One-one but not onto