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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define an injective function.
💡 Hint: Think about how inputs are related to outputs.
Question 2
Easy
What is the range of this function: f: {1, 2, 3} → {a, b} where f(1)=a, f(2)=b, f(3)=b?
💡 Hint: Look for the outputs produced from the inputs.
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 with identical outputs for different inputs.
- A function where every input has a unique output.
- A function that maps all domain elements to at least one output.
💡 Hint: Focus on the uniqueness of mapping.
Question 2
Is a function f: {1, 2} → {a, b} with f(1)=a and f(2)=b both injective and surjective?
- True
- False
💡 Hint: Check both properties for verification.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given two sets A = {1, 2, 3} and B = {a, b, c, d}, can we have a surjective function defined from A to B? Justify your answer.
💡 Hint: Think about the number of outputs compared to inputs.
Question 2
Construct an example of a function f: {1, 2, 3} → {x, y} that is injective but not surjective. Explain your choice.
💡 Hint: Make sure to check for any repeated outputs when creating your function.
Challenge and get performance evaluation