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F-BF.1.b Warmup M2-015-A05-V03

Combine standard function types arithmetically to create models.

Build a contextual sum or difference of functions

Problem

Two area contributions are \(A(x)=x^{2}+5x\) and \(B(x)=3x~\text{square}~\text{units}\). Write \(T(x)=A(x)+B(x)\), show the component functions grouped before combining like terms, simplify, and interpret the result as total area with appropriate units.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
F-BF.1.b
Category
Functions
Domain
Building Functions
Objective
Combine standard function types arithmetically to create models.
Problem type
Build a contextual sum or difference of functions