MAT3702 ASSIGNMENT 1 2023
Question 1
𝑋 = {1, 2, 3}, 𝑌 = {𝑎, 𝑏}
𝑓: 𝑋 → 𝑌 is a function.
(i) 𝑓: 𝑋 → 𝑌 defined by:
𝑓(1) = 𝑎
𝑓(2) = 𝑎
𝑓(3) = 𝑎
(ii) 𝑓: 𝑋 → 𝑌 defined by:
𝑓(1) = 𝑎
𝑓(2) = 𝑎
𝑓(3) = 𝑏
(iii) 𝑓: 𝑋 → 𝑌 defined by:
𝑓(1) = 𝑎
𝑓(2) = 𝑏
𝑓(3) = 𝑏
(iv) 𝑓: 𝑋 → 𝑌 defined by:
𝑓(1) = 𝑏
𝑓(2) = 𝑏
𝑓(3) = 𝑏
(v) 𝑓: 𝑋 → 𝑌 defined by:
𝑓(1) = 𝑏
𝑓(2) = 𝑏
𝑓(3) = 𝑎
Question 1
𝑋 = {1, 2, 3}, 𝑌 = {𝑎, 𝑏}
𝑓: 𝑋 → 𝑌 is a function.
(i) 𝑓: 𝑋 → 𝑌 defined by:
𝑓(1) = 𝑎
𝑓(2) = 𝑎
𝑓(3) = 𝑎
(ii) 𝑓: 𝑋 → 𝑌 defined by:
𝑓(1) = 𝑎
𝑓(2) = 𝑎
𝑓(3) = 𝑏
(iii) 𝑓: 𝑋 → 𝑌 defined by:
𝑓(1) = 𝑎
𝑓(2) = 𝑏
𝑓(3) = 𝑏
(iv) 𝑓: 𝑋 → 𝑌 defined by:
𝑓(1) = 𝑏
𝑓(2) = 𝑏
𝑓(3) = 𝑏
(v) 𝑓: 𝑋 → 𝑌 defined by:
𝑓(1) = 𝑏
𝑓(2) = 𝑏
𝑓(3) = 𝑎
