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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a function and give an example.
💡 Hint: Think of the sets and how they relate.
Question 2
Easy
What is the co-domain in the function f: A → B?
💡 Hint: Remember it includes possible outputs for the function.
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 the definition of a function?
- A relation with multiple outputs
- A relation with exactly one output for each input
- A random set
💡 Hint: Think of how inputs relate to outputs.
Question 2
Is the function f: A → B defined as f = {(1, a), (1, b)} a valid function?
- True
- False
💡 Hint: Recall the basic rule for functions.
Solve 3 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Create a function f: {1,2,3} → {a,b,c,d} that is surjective but not injective. Explain your reasoning.
💡 Hint: Remember that surjective means all outputs must have at least one input.
Question 2
Prove that if a function is injective, it cannot have the same output for two different inputs.
💡 Hint: Use a 'proof by contradiction' approach!
Challenge and get performance evaluation