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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is an injective function?
💡 Hint: Think about what happens if two inputs give the same output.
Question 2
Easy
Is the function f(x) = 2x injective?
💡 Hint: You can test with any two different x values.
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
Which of the following is true about injective functions?
- f(a) = f(b) implies a = b
- f(a) = f(b) can imply a ≠ b
- f(a) can have multiple values for b
💡 Hint: Remember about the unique mapping quality.
Question 2
Is the function f(x) = x² an injective function over the reals?
- True
- False
💡 Hint: Consider different values that yield the same result.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Demonstrate that the function f(x) = x^3 is injective over the real numbers.
💡 Hint: Consider the properties of cubic functions.
Question 2
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.
Challenge and get performance evaluation