Practice - Definition of Function
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Practice Questions
Test your understanding with targeted questions
Define a function in your own words.
💡 Hint: Think about the relationship between pairs of numbers.
Give an example of an injective function.
💡 Hint: Consider what happens when different inputs lead to different outputs.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a function?
💡 Hint: Remember the unique relationship definition.
True or False: The inverse of any function can be defined.
💡 Hint: Think about injective and surjective properties.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given the function f(x) = x^3, determine if it is injective and surjective. Prove your answer.
💡 Hint: Graph the function or use algebraic manipulation to demonstrate uniqueness.
Define a function f: ℤ → ℤ where f(x) = 2x + 1. Determine if it is bijective and find its inverse.
💡 Hint: Check the properties of injectiveness and surjectiveness.
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