Which of the following specifies a one-to-one function?
A) h = {(1,1), (2,2), (3,1)}
B) f = {(0,1), (0,2), (1,3)}
C) g = {(1,1), (2,2), (3,2)}
D) None of the above are one-to-one functions.

Question

Quizplus · Accepted Answer

A one-to-one function, also known as an injective function, requires that each element of the domain maps to a unique element in the codomain. In options A, B, and C, we see repetitions in the second elements of the ordered pairs, indicating that multiple domain elements map to the same codomain element, violating the one-to-one condition. Therefore, none of the given options specify a one-to-one function.

Which of the Following Specifies a One-To-One Function