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F-BF.3 Warmup M3-019-A11-V03

Analyze graph transformations across radical, rational, exponential, logarithmic, and other functions; recognize even and odd functions.

Prove or disprove oddness using f(-x) and -f(x)

Problem

Test \(f(x)~=~x^2~+~x\) for oddness. Address domain symmetry, simplify \(f(-x)\) and \(-f(x)\), compare them, and state the conclusion.

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Four variants of this problem type
Curriculum context
Course
Math III
Standard
F-BF.3
Category
Functions
Domain
Building Functions
Objective
Analyze graph transformations across radical, rational, exponential, logarithmic, and other functions; recognize even and odd functions.
Problem type
Prove or disprove oddness using f(-x) and -f(x)