Injective and Surjective Functions 1
- Nicholas Jackson
This worksheet explores the injectivity and surjectivity of the function . As a function , it is neither injective nor surjective. But by carefully restricting the domain and codomain, we can define a new function that is either injective, or surjective, or both.
- Adjust and to restrict the domain of to an interval on which it is injective.
- Adjust and to restrict the codomain of to an interval on which it is surjective.