Practice Part (d): Surjectivity Of F (2.6.4) - Introduction - Discrete Mathematics

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6 sample questions

Question 1.
Define a surjective function.
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Think about covering all elements in the codomain.
Question 2.
Can a surjective function be injective? Provide an example.
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Recall the definition of both terms.
3Question 3.
What is a surjective function?
- A function that is one-to-one.
- A function where every element of codomain has a pre-image.
- A function that is injective.
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Think about every element in the target set.
4Question 4.
In finite sets, a surjective function is also:
- True
- False
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Consider the implications of finite mappings.
Question 5.
Given a set A = {1, 2, 3, 4}, find surjective functions to set B = {x1, x2, x3}. What are the conditions?
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Use combinations to ensure all elements in B are met.
Question 6.
Construct a proof showing why a surjective function from a finite set with n elements is also bijective.
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Consider elements assigned during surjectivity.

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