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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a surjective function.
💡 Hint: Think about covering all elements in the codomain.
Question 2
Easy
Can a surjective function be injective? Provide an example.
💡 Hint: Recall the definition of both terms.
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 that is one-to-one.
- A function where every element of codomain has a pre-image.
- A function that is injective.
💡 Hint: Think about every element in the target set.
Question 2
In finite sets, a surjective function is also:
- True
- False
💡 Hint: Consider the implications of finite mappings.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
Construct a proof showing why a surjective function from a finite set with n elements is also bijective.
💡 Hint: Consider elements assigned during surjectivity.
Challenge and get performance evaluation