How and when can functions be combined?
Key questions
- 1
What are the domain and range of a function?
- 2
What happens if we add, subtract, multiply or divide functions?
- 3
What happens if we apply one function to the output of another?
- 4
What do we mean by transformations of functions?
- 5
When does a function have an inverse?
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Introducing...
| Resource type | Title |
|---|---|
| Building blocks | Forming functions — defining domains |
| Scaffolded task | Making inverse functions |
| Investigation | Order! Order! |
Developing...
| Resource type | Title |
|---|---|
| Building blocks | Composing gets me nowhere |
| Building blocks | Invertibles |
| Fluency exercise | Domain and range dominoes |
| Fluency exercise | Function builder I |
| Package of problems | Compose! |
| Package of problems | Translating or not? |
| Many ways problem | Transformers |
| Food for thought | Name that graph again |
| Food for thought | Picture the process II |
| Bigger picture | Going backwards |
| Bigger picture | It's a matter of perspective |
| Bigger picture | Maths for dinner |
Review questions
