F-BF: Functions - Building Functions

Functions - Building Functions

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This 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.

F-BF.ABuild a function that models a relationship between two quantities.F-BF.BBuild new functions from existing functions.
Example Problems
Find the sum:
Evaluate:
Find
The following table shows a few inputs and outputs of .
xh(x)
0-8
9-6
19-1
284
379
4713


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
.
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