Proving that Functions are Injective and Surjective (One-to-One and Onto)

0:00 Introduction 0:20 Functions 3:30 Injective/one-to-one functions 6:33 Proving that a function is injective 8:42 Proving that a function is not injective 9:28 Why is injectivity confusing? 12:02 Surjective/onto functions 14:41 Proving that a function is surjective 18:27 Proving that a function is not surjective 19:07 Why is surjectivity confusing? 20:41 Bijective functions 21:52 Proving that a function is bijective