2.2.3 - One-to-One Correspondence (Bijective Function)
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Practice Questions
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What does it mean for a function to be injective?
💡 Hint: Think about one input leading to one specific output.
Provide an example of a surjective function.
💡 Hint: Ensure all targets in your output set have pre-images.
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Interactive Quizzes
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What is a necessary condition for a function to be bijective?
💡 Hint: Think about the definitions of injective and surjective.
True or False: A function that maps some elements in the co-domain to multiple elements in the domain can still be bijective.
💡 Hint: Remember the definition of a one-to-one function.
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Challenge Problems
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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.
Define a function that is surjective but not injective. Illustrate your function with a mapping.
💡 Hint: Check your outputs against each unique input.
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