Question

Which condition represents a many-one function?

Options

• One-one + Onto

• \(x_1\ne x_2\text{ but }f(x_1)=f(x_2)\)

• \(f(x_1)=f(x_2)\Rightarrow x_1=x_2\)

• \(\text{Range}=\text{Codomain}\)

Answer 1

A many-one function has different inputs with the same output. Its defining condition is \[x_1\ne x_2\text{ but }f(x_1)=f(x_2)\].