Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
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 related to the topic.
Question 1
Easy
Define a surjective function in your own words.
💡 Hint: Think about the elements in both sets and how they relate.
Question 2
Easy
What is S(n, k) in terms of Stirling numbers?
💡 Hint: Consider the connection to set partitions.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is a surjective function?
- A function where every element in the domain is unique.
- A function where every codomain element has at least one pre-image.
- A function that is always linear.
💡 Hint: Think about the relationship between the domain and codomain elements.
Question 2
Is a bijective function always injective?
- True
- False
💡 Hint: Recall the definitions of injective and bijective functions.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a set of size 5, how many different surjective functions can be created to a set of size 3?
💡 Hint: Remember to break it down into partitions and mappings.
Question 2
Prove that there exists a surjective function that is not injective by constructing a specific example.
💡 Hint: Focus on the mappings from domain to codomain.
Challenge and get performance evaluation