Building Functions
PrintBuilding Functions addresses the craft of constructing new functions: writing explicit and recursive rules from context, combining functions through composition, applying transformations, and finding inverses. The two clusters distinguish building from scratch versus building from existing functions.
Example Problems
Find the sum:
Evaluate:
Find
The following table shows a few inputs and outputs of .
What is the value of ?
| x | h(x) |
|---|---|
| 0 | -8 |
| 9 | -6 |
| 19 | -1 |
| 28 | 4 |
| 37 | 9 |
| 47 | 13 |
What is the value of ?
How would you rewrite f(x) so it can be differentiated using the power rule?
Assume .

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