Practice Onto Function (surjective Function) (2.2.2)

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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define an onto function in your own words.
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Think about what a mapping means.
Question 2.
Is the function f = {(1, a), (2, b), (3, c)} onto if B = {a, b, c}?
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Check if all elements in B have a matching input.
3Question 3.
What defines a surjective function?
- Some elements in co-domain are unmapped
- Every element in co-domain is mapped
- No elements are mapped
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Focus on what it means to be surjective.
4Question 4.
True or false: A function that misses elements in the co-domain is onto.
- True
- False
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Consider the function's requirement to map.
Question 5.
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.
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Identify elements in B without domain mappings.
Question 6.
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.
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Verify coverage of all topics in the mapping.

5 more questions in this section. Enroll free to practise them all.