4. (a) Let Σ = {a, b). Define the function star. P(Σ*) → P(D) by star(L) = L. i. What is the domain of this function? [1 mark] ii. What finite sets are in the range of this function? Explain in brief. [1 mark] iii. Is the function star one-to-one? Explain in brief. mark] iv. Is the function onto? Explain in brief. mark]