Practice Definition Of A Function (2.1) - Relations and Functions

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6 sample questions

Question 1.
What is a function?
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Think of inputs and unique outputs.
Question 2.
Define the term 'domain' in context to functions.
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Consider what values can be input into the function.
3Question 3.
What is a function?
- A relation where every input relates to multiple outputs.
- A relation where each input maps to exactly one output.
- A relation with no specific pairing between the sets.
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Focus on the uniqueness of mapping.
4Question 4.
True or False: A function can map one element of the domain to multiple elements of the co-domain.
- True
- False
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Remember the definition of a function.
Question 5.
Given the function 𝑓 = {(1,2),(2,3),(3,4),(4,3)}, determine if it is injective, surjective, or bijective.
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Analyze the mappings against the definitions of each function type.
Question 6.
Formulate a function based on real-world data where the relationship can be considered bijective.
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Think about unique one-to-one correspondences.

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