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F-BF.1.b Warmup M3-018-A12-V02

Combine studied function types arithmetically to build models.

Form a function sum and verify its graph feature

Problem

For \(f(x)~=~(x^2~-~16)/(x~-~4)\) and \(g(x)~=~2\), simplify \((f~+~g)(x)\), retain the original restriction, and identify the resulting graph feature.

Neutral rational-sum information card showing the two functions without a graph, simplification, restriction, or hole.
Focus on what the missing point says about the model.
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Four variants of this problem type
Curriculum context
Course
Math III
Standard
F-BF.1.b
Category
Functions
Domain
Building Functions
Objective
Combine studied function types arithmetically to build models.
Problem type
Form a function sum and verify its graph feature