2 - Functions
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Practice Questions
Test your understanding with targeted questions
Define a function and give an example.
💡 Hint: Think of the sets and how they relate.
What is the co-domain in the function f: A → B?
💡 Hint: Remember it includes possible outputs for the function.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the definition of a function?
💡 Hint: Think of how inputs relate to outputs.
Is the function f: A → B defined as f = {(1, a), (1, b)} a valid function?
💡 Hint: Recall the basic rule for functions.
3 more questions available
Challenge Problems
Push your limits with advanced challenges
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.
Prove that if a function is injective, it cannot have the same output for two different inputs.
💡 Hint: Use a 'proof by contradiction' approach!
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