Problem preview
F-BF.1.b Warmup M3-018-A09-V01

Combine studied function types arithmetically to build models.

Evaluate \((f+g)(a)\) from given function values and interpret the combined output

Problem

Use these values to evaluate \(f+g\) at input \(3\): \(f(3)=8\), \(g(3)=-2\).

Big Picture

What this problem is really about

When individual function values are already given, those values are all the information needed for the combined output. Match both values to the same input, preserve the sign on each one, and apply the indicated operation directly. Reconstructing formulas would add work without adding information.

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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
Evaluate \((f+g)(a)\) from given function values and interpret the combined output