Question

A function is called many-one if two or more different elements of the domain have:

Options

• Every element of the codomain as an image

• No image in the codomain

• The same image in the codomain

• Different images in the codomain

Answer 1

A many-one function allows two or more different domain elements to have the same image. In symbols, different inputs can satisfy \[x_1\ne x_2\text{ but }f(x_1)=f(x_2)\].