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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define an injective function in your own words.
💡 Hint: Think about how one-to-one mapping works.
Question 2
Easy
Give an example of a surjective function.
💡 Hint: Consider functions that cover all elements in its codomain.
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 an injective function?
- A function where different inputs have the same output.
- A function where different inputs have different outputs.
- A function that maps to the same element.
💡 Hint: Think of one-to-one relationships.
Question 2
True or False: Every bijective function is surjective.
- True
- False
💡 Hint: Recall what the definition of bijective means.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the function f(x) = 2x + 3, state whether it is injective and surjective. Prove your answer.
💡 Hint: Analyze injectiveness using algebraic manipulation.
Question 2
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.
Challenge and get performance evaluation