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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a function in your own words.
💡 Hint: Think about the relationship between pairs of numbers.
Question 2
Easy
Give an example of an injective function.
💡 Hint: Consider what happens when different inputs lead to different outputs.
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 defines a function?
- Each input can map to multiple outputs.
- Each input maps to exactly one output.
- Outputs can have multiple inputs.
💡 Hint: Remember the unique relationship definition.
Question 2
True or False: The inverse of any function can be defined.
- True
- False
💡 Hint: Think about injective and surjective properties.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation