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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does it mean for a function to be injective?
💡 Hint: Think about one input leading to one specific output.
Question 2
Easy
Provide an example of a surjective function.
💡 Hint: Ensure all targets in your output set have pre-images.
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 necessary condition for a function to be bijective?
- It must be injective
- It must be surjective
- Both injective and surjective
💡 Hint: Think about the definitions of injective and surjective.
Question 2
True or False: A function that maps some elements in the co-domain to multiple elements in the domain can still be bijective.
- True
- False
💡 Hint: Remember the definition of a one-to-one function.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Create a function that is injective but not surjective. Show its mapping.
💡 Hint: Ensure it has unique domain outputs but misses one or more co-domain targets.
Question 2
Define a function that is surjective but not injective. Illustrate your function with a mapping.
💡 Hint: Check your outputs against each unique input.
Challenge and get performance evaluation