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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Identify if the function f(x) = 3x + 1 is injective. Why?
💡 Hint: Consider what happens with different x-values.
Question 2
Easy
What is the definition of an injective function?
💡 Hint: Think about what injective means in terms of pairs.
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 an injective function?
- A function where every output has a unique input.
- A function that is surjective.
- A function with no restrictions.
💡 Hint: Think about unique mappings.
Question 2
True or False: If f(a) = f(b) for a function f, then a = b.
- True
- False
💡 Hint: Consider what happens with injective functions.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove whether the function g(x) = 4x - 5 is injective and explain your reasoning.
💡 Hint: Use algebraic manipulation to explore.
Question 2
Consider the function h(x) = sin(2x). Is it injective over the interval [0, π] and why?
💡 Hint: Assess the behavior of sine over the interval.
Challenge and get performance evaluation