Practice - Part (d): Surjectivity of f
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 surjective function.
💡 Hint: Think about covering all elements in the codomain.
Can a surjective function be injective? Provide an example.
💡 Hint: Recall the definition of both terms.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is a surjective function?
💡 Hint: Think about every element in the target set.
In finite sets, a surjective function is also:
💡 Hint: Consider the implications of finite mappings.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Given a set A = {1, 2, 3, 4}, find surjective functions to set B = {x1, x2, x3}. What are the conditions?
💡 Hint: Use combinations to ensure all elements in B are met.
Construct a proof showing why a surjective function from a finite set with n elements is also bijective.
💡 Hint: Consider elements assigned during surjectivity.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.