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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a surjective function? Give an example.
💡 Hint: Think about functions that cover all outputs.
Question 2
Easy
How does an injective function differ from a surjective function?
💡 Hint: Consider how functions can map inputs to outputs.
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 true about a surjective function?
- All elements in the domain are mapped to unique elements.
- Every element in the codomain is covered.
- It cannot have repeated outputs.
💡 Hint: Focus on what it means when every output has a backing input.
Question 2
A function can be surjective in finite sets. True or False?
💡 Hint: Recall the definition of surjectivity in context.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Imagine a function f: {1, 2, 3, 4} → {a, b, c} is defined. What can you conclude about its surjectivity and injectivity?
💡 Hint: Reflect on the cardinality principle in set functions.
Question 2
Define a surjective function from the set of all integers to a set containing two elements. Provide justification for your answer.
💡 Hint: Consider how to classify integers into distinct categories.
Challenge and get performance evaluation