Practice - Onto Functions
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Practice Questions
Test your understanding with targeted questions
Define an onto function in your own words.
💡 Hint: Think about functions where every output has a corresponding input.
What condition must be met for a function to be considered onto?
💡 Hint: Consider what it means for something to be covered completely.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is an onto function?
💡 Hint: Remember the definition of mapping in functions.
True or False: A function can be onto if the domain has fewer elements than the codomain.
💡 Hint: Think about how functions work with outputs.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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