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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 of how each output is achieved through inputs.
Question 2
Easy
List one property of bijective functions.
💡 Hint: Recall the letter B represents both properties.
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?
💡 Hint: Consider the mapping of inputs to outputs.
Question 2
If a function is surjective and operates over a finite set, is it also bijective?
- True
- False
💡 Hint: Think about what happens when the number of elements match.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that every surjective function from a finite set to itself is bijective.
💡 Hint: Consider the cardinality of the domain and codomain.
Question 2
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.
Challenge and get performance evaluation