Question

The function f from {1, 2, 3, 4, 5} to {c, d, e, g} with f(1) = c, f(2) = c, f(3) = d, f(4) = g, and f(5) = e is one-to-one.

true or false

Answer 1

The function f from {1, 2, 3, 4, 5} to {c, d, e, g} is not one-to-one because both 1 and 2 in the domain map to the same element in the codomain.

Step-by-step explanation:

The function f: {1, 2, 3, 4, 5} → {c, d, e, g} is not one-to-one. One-to-one means that each element in the domain maps to a unique element in the codomain. However, in this function, both 1 and 2 in the domain map to the same element, c, in the codomain. Therefore, the function is not one-to-one.