Practice Question 6: Surjective Function (2.2) - Introduction - Discrete Mathematics

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6 sample questions

Question 1.
Define a surjective function.
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Think of how each output is achieved through inputs.
Question 2.
List one property of bijective functions.
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Recall the letter B represents both properties.
3Question 3.
What is a surjective function?
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Consider the mapping of inputs to outputs.
4Question 4.
If a function is surjective and operates over a finite set, is it also bijective?
- True
- False
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Think about what happens when the number of elements match.
Question 5.
Prove that every surjective function from a finite set to itself is bijective.
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Consider the cardinality of the domain and codomain.
Question 6.
Construct a surjective function from {1, 2, 3, 4} to {A, B} that is not injective, and explain why.
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Analyze how many distinct inputs share the same output.

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