F-BF: Building Functions

Building Functions

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Building 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.

F-BF.ABuild a function that models a relationship between two quantitiesF-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
?

How would you rewrite f(x) so it can be differentiated using the
power rule?
Assume
.
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