2.2.2 - Onto Function (Surjective Function)
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Practice Questions
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Define an onto function in your own words.
💡 Hint: Think about what a mapping means.
Is the function f = {(1, a), (2, b), (3, c)} onto if B = {a, b, c}?
💡 Hint: Check if all elements in B have a matching input.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a surjective function?
💡 Hint: Focus on what it means to be surjective.
True or false: A function that misses elements in the co-domain is onto.
💡 Hint: Consider the function's requirement to map.
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Challenge Problems
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Design a function f: A → B, with A = {1, 2, 3, 4, 5} and B = {a, b} such that it is not onto. Explain your reasoning.
💡 Hint: Identify elements in B without domain mappings.
Create a mapping for a class of students to different project topics, ensuring every topic is chosen by at least one student. Justify how this represents an onto function.
💡 Hint: Verify coverage of all topics in the mapping.
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