Practice Bijective Functions (24.1.4) - Functions - Discrete Mathematics

Practise this section

9 questions

Flashcard drill
4 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Define an injective function in your own words.
Show hintHide hint
Think about how one-to-one mapping works.
Question 2.
Give an example of a surjective function.
Show hintHide hint
Consider functions that cover all elements in its codomain.
3Question 3.
What is an injective function?
- A function where different inputs have the same output.
- A function where different inputs have different outputs.
- A function that maps to the same element.
Show hintHide hint
Think of one-to-one relationships.
4Question 4.
True or False: Every bijective function is surjective.
- True
- False
Show hintHide hint
Recall what the definition of bijective means.
Question 5.
Given the function f(x) = 2x + 3, state whether it is injective and surjective. Prove your answer.
Show hintHide hint
Analyze injectiveness using algebraic manipulation.
Question 6.
Consider the function f: Z -> Z defined as f(n) = n². Explain how to restrict its domain to ensure it's bijective.
Show hintHide hint
Focus on the concepts of output duplication.

5 more questions in this section. Enroll free to practise them all.