3. Which of the following sets of ordered pairs are functions? a. A = {(1, 2), (2, 3), (3, 4), (4, 5)} b. A = {(1, 1), (2, 2), (3, 3), (4, 4)} c. A = {(1, 0), (0, 1), (-1, 0), (0, -1)} d. A = {(-2, 4), (-1, 1), (0, 0), (1, 1), (2, 4}
Answer (1)
Functions: a, b, and dNot a function: cStep-by-step explanation:a. A = {(1, 2), (2, 3), (3, 4), (4, 5)}✅ Function – All inputs are unique.---b. A = {(1, 1), (2, 2), (3, 3), (4, 4)}✅ Function – Inputs are unique; same input-output values are fine.---c. A = {(1, 0), (0, 1), (-1, 0), (0, -1)}❌ Not a function – The input 0 appears twice with different outputs (1 and -1).---d. A = {(-2, 4), (-1, 1), (0, 0), (1, 1), (2, 4)}✅ Function – All inputs are unique even if some outputs repeat.
