Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Composition of two functions | To understand and define the composition of two functions. |
| 2. | Working rule to solve composite function | To understant how to solve composite function. |
| 3. | Composition of three functions | To learn the composition of three functions. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | PYQ - Cardinality of sets | Other | easy | 1 m. | This exercise is to check your knowledge about cardinality of sets. |
| 2. | PYQ - Cartesian product of sets | Other | medium | 2 m. | Check your understanding skills in the concept of cartesian product. |
| 3. | Verify the statement | Other | hard | 5 m. | Try to answer the given questions. |
| 4. | Verify the condition | Other | medium | 5 m. | Try to find the answers for the given questions. |
| 5. | Two marks example problems I | Other | easy | 2 m. | Try to answer the given questions. |
| 6. | Five marks exercise problems III | Other | hard | 5 m. | Try to answer the given questions. |
| 7. | PYQ - Arrow diagram | Other | medium | 2 m. | This exercise is to check your knowledge about relation of sets. |
| 8. | Check for the function | Other | medium | 3 m. | Analyze the curve and check whether it represents a function or not. |
| 9. | Five marks example problems II | Other | hard | 0 m. | Work on the problems to answer the questions using composition of functions. |
| 10. | Find the images, pre-images and type of function | Other | hard | 5 m. | Work on the problem to find the answers using given information. |
| 11. | Five marks exercise problems VII | Other | hard | 5 m. | Find the range of the given function and analyse its type. |