Practice Functions (24.1) - Functions - Discrete Mathematics - Vol 1
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Functions

Practice - Functions

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

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!

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

Get performance evaluation

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

💡 Hint: Consider how to invert the function.

Challenge 2 Hard

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.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.