For each of the functions below, decide whether the function is injective and surjective (i.e., bijective), or injective

[answerhappygod]

For Each Of The Functions Below Decide Whether The Function Is Injective And Surjective I E Bijective Or Injective 1 (81.75 KiB) Viewed 30 times

For each of the functions below, decide whether the function is injective and surjective (i.e., bijective), or injective but not surjective, or surjective but not injective, or neither injective nor surjective. If the function is not injective, explain why. If the function is not surjective, explain why. (a) ƒ: P([5]) →→ P([8]), defined by f(S) = SU {6, 7, 8} for SC [5]. (b) f: P([5]) → P([7]), defined by f(S) = SU{5, 6, 7} for SC [5]. (c) ƒ : P([8]) → P([5]), defined by ƒ(S) = Sn [5] for SC [8]. (d) ƒ : P([5]) × P ([8] → P([5] × [8]), defined by ƒ(S₁, S₂) = S₁ × S₂. (e) ƒ : (P([5]) — {0}) × (P([8]) — {0}) →→→ P([5] × [8]), defined by ƒ(S₁, S2) = S₁ × S₂.