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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define an onto function in your own words.
💡 Hint: Think about functions where every output has a corresponding input.
Question 2
Easy
What condition must be met for a function to be considered onto?
💡 Hint: Consider what it means for something to be covered completely.
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 onto function?
- A function where not all outputs are covered
- A function where every output is covered by at least one input
- A function with no outputs
💡 Hint: Remember the definition of mapping in functions.
Question 2
True or False: A function can be onto if the domain has fewer elements than the codomain.
- True
- False
💡 Hint: Think about how functions work with outputs.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a set A with 6 elements and set B with 4 elements, determine how many onto functions can exist.
💡 Hint: Break it down using f(m, n) recursively.
Question 2
Explain why the number of onto functions decreases as the size of the codomain grows beyond the domain.
💡 Hint: Think about coverage; if more elements exist in B than A, it can't map fully.
Challenge and get performance evaluation