Question

Which condition represents an into function?

Options

• \(\text{Range}\subset\text{Codomain}\)

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

• \(\text{Range}=\text{Codomain}\)

• One-one + Onto

Answer 1

An into function leaves some codomain elements unmapped. Consequently, the range is a proper subset of the codomain, represented by \[\text{Range}\subset\text{Codomain}\].