Practice - Bijective Functions
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Practice Questions
Test your understanding with targeted questions
Define an injective function in your own words.
💡 Hint: Think about how one-to-one mapping works.
Give an example of a surjective function.
💡 Hint: Consider functions that cover all elements in its codomain.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is an injective function?
💡 Hint: Think of one-to-one relationships.
True or False: Every bijective function is surjective.
💡 Hint: Recall what the definition of bijective means.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given the function f(x) = 2x + 3, state whether it is injective and surjective. Prove your answer.
💡 Hint: Analyze injectiveness using algebraic manipulation.
Consider the function f: Z -> Z defined as f(n) = n². Explain how to restrict its domain to ensure it's bijective.
💡 Hint: Focus on the concepts of output duplication.
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