Problem 129 of 7
Determine whether x^2+x is odd.
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test origin symmetry or f(-x)=-f(x).
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Test origin symmetry or compute f(-x)=-f(x).
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Solution
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1. Compute f(-x).
2. Compute -f(x) if needed.
3. Compare the two expressions and verify the domain is symmetric about 0.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Saying a function is odd merely because it has an odd-degree term.