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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 what a mapping means.
Question 2
Easy
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.
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 surjective function?
- Some elements in co-domain are unmapped
- Every element in co-domain is mapped
- No elements are mapped
💡 Hint: Focus on what it means to be surjective.
Question 2
True or false: A function that misses elements in the co-domain is onto.
- True
- False
💡 Hint: Consider the function's requirement to map.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation