Practice - Question 6: Surjective Function
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Practice Questions
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Define a surjective function.
💡 Hint: Think of how each output is achieved through inputs.
List one property of bijective functions.
💡 Hint: Recall the letter B represents both properties.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a surjective function?
💡 Hint: Consider the mapping of inputs to outputs.
If a function is surjective and operates over a finite set, is it also bijective?
💡 Hint: Think about what happens when the number of elements match.
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Challenge Problems
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Prove that every surjective function from a finite set to itself is bijective.
💡 Hint: Consider the cardinality of the domain and codomain.
Construct a surjective function from {1, 2, 3, 4} to {A, B} that is not injective, and explain why.
💡 Hint: Analyze how many distinct inputs share the same output.
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