5 - Summary
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Define a relation between sets A and B.
💡 Hint: Think of ordered pairs formed from both sets.
What is a reflexive relation?
💡 Hint: Consider the elements relating to themselves.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
A relation is a subset of the Cartesian product of which sets?
💡 Hint: Remember the definition of a relation.
All surjective functions are also injective. True or False?
💡 Hint: Consider examples where different inputs yield the same output.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Given sets A = {1, 2, 3} and B = {a, b, c, d}, define a surjective function from A to B.
💡 Hint: Ensure every element in the co-domain is covered by at least one domain element.
Prove that if f and g are bijective functions, then their composition g o f is also bijective.
💡 Hint: Review the definitions of injective and surjective functions.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.