Practice - Injective Functions
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Practice Questions
Test your understanding with targeted questions
What is an injective function?
💡 Hint: Think about what happens if two inputs give the same output.
Is the function f(x) = 2x injective?
💡 Hint: You can test with any two different x values.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which of the following is true about injective functions?
💡 Hint: Remember about the unique mapping quality.
Is the function f(x) = x² an injective function over the reals?
💡 Hint: Consider different values that yield the same result.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Demonstrate that the function f(x) = x^3 is injective over the real numbers.
💡 Hint: Consider the properties of cubic functions.
If a function f: A → B is injective, what can be said about its inverse f^−1: B → A?
💡 Hint: Reflect on how injections relate to inverses.
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