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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a bijection in your own words.
💡 Hint: Think about injective and surjective functions.
Question 2
Easy
Is the function f: {1, 2, 3} → {4, 4, 4} a surjection?
💡 Hint: Check if every element in the codomain has a pre-image.
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 bijective function?
💡 Hint: Consider the definitions of injective and surjective functions.
Question 2
True or False: All surjective functions are bijective functions.
- True
- False
💡 Hint: Think about the relationship between injectivity and surjectivity.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given two infinite sets A and B, describe a surjective function that is not bijective.
💡 Hint: Use different relationships for mappings that overlap.
Question 2
How would you prove that every bijective function has an inverse? Discuss the relationship.
💡 Hint: Focus on the uniqueness of mappings and how they allow reversibility.
Challenge and get performance evaluation