Practice Definition Of Function (24.1.1) - Functions - Discrete Mathematics

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6 sample questions

Question 1.
Define a function in your own words.
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Think about the relationship between pairs of numbers.
Question 2.
Give an example of an injective function.
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Consider what happens when different inputs lead to different outputs.
3Question 3.
What defines a function?
- Each input can map to multiple outputs.
- Each input maps to exactly one output.
- Outputs can have multiple inputs.
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Remember the unique relationship definition.
4Question 4.
True or False: The inverse of any function can be defined.
- True
- False
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Think about injective and surjective properties.
Question 5.
Given the function f(x) = x^3, determine if it is injective and surjective. Prove your answer.
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Graph the function or use algebraic manipulation to demonstrate uniqueness.
Question 6.
Define a function f: ℤ → ℤ where f(x) = 2x + 1. Determine if it is bijective and find its inverse.
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Check the properties of injectiveness and surjectiveness.

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