Practice Functions - 24.1 | 24. Functions | Discrete Mathematics - Vol 1
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24.1 - Functions

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a function?

💡 Hint: Think about how every input value relates uniquely to an output.

Question 2

Easy

Define injective function.

💡 Hint: Focus on the unique output for each input!

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the definition of a bijective function?

  • A function that is neither injective nor surjective
  • A function that is both injective and surjective
  • A function that is only injective
  • A function that maps only some elements from A to B

💡 Hint: Think about the definitions of injective and surjective.

Question 2

True or False: Every injective function is surjective.

  • True
  • False

💡 Hint: Reflect on the definitions of both types of functions.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Prove that the function f(n) = 3n + 2 is bijective.

💡 Hint: Consider how to invert the function.

Question 2

If f and g are functions such that f: A → B and g: B → C, create a composite function and explain its significance.

💡 Hint: Think about what it means to apply one function after the other.

Challenge and get performance evaluation