Functions - Building Functions
PrintThis domain covers constructing new functions from existing ones through arithmetic, composition, and inverse operations. Standards include identifying patterns and writing explicit rules for sequences. Content applies across Algebra 1, Algebra 2, and Precalculus.
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 ?
A charity receives online donations dollars and in‑person donations dollars t quarters after a campaign launches.
Let be the campaign's cumulative donations t quarters after launch.
Write a formula for .
Let be the campaign's cumulative donations t quarters after launch.
Write a formula for .

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