Which of the following represents a function?
A. {(1,2), (2,3), (1,4)}
B. {(3,4), (5,6), (7,8)}
C. {(2,1), (2,3), (2,4)}
D. {(1,2), (2,2), (3,2)}
Answer (1)
Both B and D represent functions. If you must choose one, usually the first correct option is accepted, so B.Here's why:Let's analyze each option:A. {(1,2), (2,3), (1,4)}The input 1 corresponds to two different outputs (2 and 4). Not a function.B. {(3,4), (5,6), (7,8)}Each input (3, 5, 7) has exactly one output. This is a function.C. {(2,1), (2,3), (2,4)}Input 2 corresponds to multiple outputs (1, 3, 4). Not a function.D. {(1,2), (2,2), (3,2)}Each input (1, 2, 3) has exactly one output. This is a function.
