Chapter 2

Relations and Functions

Read the ideas in context, then work through short guided lessons that meet you at your current level.

Free while we finish the books. A book in review is free to read and use, and so is its PDF. Once the book is finished, its PDF is ₹299. Every course is free until 31 March 2027. Sign up now and this year’s pass stays free for you until that day.

How to study this:The engine: retrieval and spacing

Not startedStart the first section →Found a mistake? Report it

Sections

Work through it section by section

Open any section. You read the idea first, then answer questions on it — and you can start wherever you like.

Not startedIn progressMasteredPaused

1. Relation or function: the one testNot started

2. Ordered pairs, and the set of all of them2 ideasNot started

3. A relation is a chosen set of pairs2 ideasNot started

4. Applying the test — on pairs, then on graphs2 ideasNot started

5. Domain, codomain, rangeNot started

6. The standard functions7 ideasNot started

7. Building new functions from old2 ideasNot started

8. One test, every ideaNot started

9. Two traps this chapter sets2 ideasNot started

10. Practice set4 ideasNot started

11. Chapter-end problemsNot started

12. JEE-application problemsNot started