Practice Inverse Of A Function (24.1.5) - Functions - Discrete Mathematics

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6 sample questions

Question 1.
Define what an injective function is.
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Think of it as one-to-one relationships.
Question 2.
Give an example of a surjective function.
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Consider if every output can be reached.
3Question 3.
What is an injective function?
- A function that is not defined
- A function where two different inputs can yield the same output
- A function where distinct inputs produce distinct outputs
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Remember the concept of one-to-one relationship.
4Question 4.
True or False: Every bijective function has an inverse.
- True
- False
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Think about the requirements for a function to have an inverse.
Question 5.
Consider the function f(x) = 3x – 2. Prove whether this function is bijective and determine its inverse.
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Check both injectivity and surjectivity to confirm bijection.
Question 6.
Is it possible for a function to be injective but not surjective? Provide an example.
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Review the definitions to clarify the difference between injective and surjective.

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