PDF chapter test TRY NOW
Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| Number 1. | Name Composition of two functions | Description To understand and define the composition of two functions. |
| Number 2. | Name Working rule to solve composite function | Description To understant how to solve composite function. |
| Number 3. | Name Composition of three functions | Description To learn the composition of three functions. |
| Number 4. | Name Identifying the graphs of linear function | Description To learn how to identify the graphs of linear function. |
| Number 5. | Name Identifying the graphs of quadratic function | Description To learn how to identify the graphs of quadratic function. |
| Number 6. | Name Identification of modulus function and cubic function | Description To learn how to identify modulus function and cubic function. |
| Number 7. | Name Identification of reciprocal function and constant function | Description To learn how to identify reciprocal function and constant function. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Multiple choice question I | Type Other | Difficulty easy | Marks 1 m. | Description Try to answer the multiple choice questions of composition functions. |
| Number 2. | Name Multiple choice question II | Type Other | Difficulty easy | Marks 1 m. | Description Try to answer the multiple choice questions of composition functions. |
| Number 3. | Name Multiple choice question III | Type Other | Difficulty easy | Marks 1 m. | Description Try to answer the multiple choice questions of composition functions. |
| Number 4. | Name Multiple choice question IV | Type Other | Difficulty easy | Marks 1 m. | Description Try to answer the multiple choice questions of composition functions. |
| Number 5. | Name Multiple choice question V | Type Other | Difficulty easy | Marks 1 m. | Description Select the correct choice for the given question. |
| Number 6. | Name Two marks example problems I | Type Other | Difficulty medium | Marks 2 m. | Description Work on the problems to answer the questions using composition of functions. |
| Number 7. | Name Two marks example problems II | Type Other | Difficulty medium | Marks 2 m. | Description Work on the problems to answer the questions using composition of functions. |
| Number 8. | Name Two marks example problems III | Type Other | Difficulty medium | Marks 4 m. | Description Work on the problems to answer the questions using composition of functions. |
| Number 9. | Name Two marks exercise problems I | Type Other | Difficulty medium | Marks 4 m. | Description Work on the problems to answer the questions using composition of functions. |
| Number 10. | Name Two marks exercise problems II | Type Other | Difficulty medium | Marks 4 m. | Description Work on the problems to answer the questions using composition of functions. |
| Number 11. | Name Two marks exercise problems III | Type Other | Difficulty medium | Marks 2 m. | Description Work on the problems to answer the questions using composition of functions. |
| Number 12. | Name Two marks exercise problems IV | Type Other | Difficulty medium | Marks 2 m. | Description Work on the problems to answer the questions using composition of functions. |
| Number 13. | Name Two marks exercise problems V | Type Other | Difficulty medium | Marks 2 m. | Description Work on the problems to answer the questions using composition of functions. |
| Number 14. | Name Five marks example problems I | Type Other | Difficulty hard | Marks 5 m. | Description Work on the problems to answer the questions using composition of functions. |
| Number 15. | Name Five marks example problems II | Type Other | Difficulty hard | Marks 0 m. | Description Work on the problems to answer the questions using composition of functions. |
| Number 16. | Name Five marks exercise problems I | Type Other | Difficulty hard | Marks 5 m. | Description Work on the problems to answer the questions using composition of functions. |
| Number 17. | Name Five marks exercise problems II | Type Other | Difficulty hard | Marks 5 m. | Description Work on the problems to answer the questions using composition of functions. |
| Number 18. | Name Five marks exercise problems III | Type Other | Difficulty hard | Marks 5 m. | Description Work on the problems to answer the questions using composition of functions. |
| Number 19. | Name Five marks exercise problems IV | Type Other | Difficulty hard | Marks 5 m. | Description Work on the problems to answer the questions using composition of functions. |
| Number 20. | Name Five marks exercise problems V | Type Other | Difficulty hard | Marks 5 m. | Description Work on the problems to answer the questions using composition of functions. |
| Number 21. | Name Five marks exercise problems VI | Type Other | Difficulty hard | Marks 0 m. | Description Work on the problems to answer the questions using composition of functions. |
| Number 22. | Name Five marks exercise problems VII | Type Other | Difficulty hard | Marks 0 m. | Description Work on the problems to answer the questions using composition of functions. |
| Number 23. | Name Five marks exercise problems VIII | Type Other | Difficulty hard | Marks 0 m. | Description Work on the problems to answer the questions using composition of functions. |
| Number 24. | Name Five marks exercise problems IX | Type Other | Difficulty hard | Marks 0 m. | Description Work on the problems to answer the questions using composition of functions. |
| Number 25. | Name Five mark exercise problems X | Type Other | Difficulty hard | Marks 0 m. | Description Check your understanding skills in the concept of composition of functions. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Find f∘g | Type Other | Difficulty easy | Marks 2 m. | Description To find the expression of f∘g for the given functions f and g. |
| Number 2. | Name Find g∘f | Type Other | Difficulty easy | Marks 2 m. | Description To find the expression of g∘f for the given functions f and g. |
| Number 3. | Name Evaluate f∘f | Type Other | Difficulty easy | Marks 1 m. | Description To evaluate the value of the given composition function. |
| Number 4. | Name Determine and predict | Type Other | Difficulty medium | Marks 4 m. | Description To check whether f∘g and g∘f are equal using the functions f and g. |
| Number 5. | Name Find f∘(g∘h) | Type Other | Difficulty medium | Marks 3 m. | Description To find the composition of three given functions. |
| Number 6. | Name Match the column | Type Other | Difficulty medium | Marks 4 m. | Description To match the columns with corresponding functions. |
| Number 7. | Name Find (f∘g)∘h | Type Other | Difficulty medium | Marks 3 m. | Description To find the composition of three given functions. |
| Number 8. | Name Find the value of 'k' | Type Other | Difficulty hard | Marks 4 m. | Description To find the value of 'k' for the given condition. |
| Number 9. | Name Prove the following | Type Other | Difficulty hard | Marks 3 m. | Description To prove the given composition of three functions. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Find the value of 'k' | Type Other | Difficulty medium | Marks 2 m. | Description Work on the problems to answer the questions using composition of functions. |
| Number 2. | Name Find the value of 'x' | Type Other | Difficulty hard | Marks 5 m. | Description Work on the problems to answer the questions using composition of functions. |
| Number 3. | Name Evaluate the value of 'k' | Type Other | Difficulty hard | Marks 5 m. | Description Work on the problems to answer the questions using composition of functions. |
| Number 4. | Name Find the following | Type Other | Difficulty hard | Marks 5 m. | Description Work on the problems to answer the questions using composition of functions. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Find the value | Type Other | Difficulty easy | Marks 3 m. | Description To find the value of the composition function for the given functions f and g. |
| Number 2. | Name Find 'k' | Type Other | Difficulty medium | Marks 3 m. | Description To find the value of 'k' for the given condition. |
| Number 3. | Name Find g∘f | Type Other | Difficulty easy | Marks 2 m. | Description To find the expression of g∘f for the given functions f and g. |
| Number 4. | Name Composition of functions | Type Other | Difficulty medium | Marks 1 m. | Description Work on the problems to answer the questions using composition of functions. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Homework I | Recomended time: 00:20:00 | Difficulty easy | Marks 8 m. | Description |
| Number 2. | Name Homework II | Recomended time: 00:25:00 | Difficulty easy | Marks 10 m. | Description |
| Number 3. | Name Homework III | Recomended time: 00:25:00 | Difficulty medium | Marks 12 m. | Description |
| Number 4. | Name Homework IV | Recomended time: 00:25:00 | Difficulty medium | Marks 10 m. | Description |
| Number 5. | Name Homework V | Recomended time: 00:25:00 | Difficulty medium | Marks 14 m. | Description |
| Number 6. | Name Revision test I | Recomended time: 00:25:00 | Difficulty medium | Marks 10 m. | Description |
| Number 7. | Name Revision test II | Recomended time: 00:30:00 | Difficulty hard | Marks 10 m. | Description |
| Number 8. | Name Revision test III | Recomended time: 00:30:00 | Difficulty hard | Marks 14 m. | Description |
| Number 9. | Name Revision test IV | Recomended time: 00:30:00 | Difficulty hard | Marks 18 m. | Description |
| Number 10. | Name Periodic Assessment | Recomended time: 00:10:00 | Difficulty medium | Marks 2 m. | Description PA 1 - Composition of Functions |
| Number 11. | Name Periodic Assessment - 3 | Recomended time: 00:10:00 | Difficulty medium | Marks 1 m. | Description PA3 |
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