Vault Of Euclid

Value of an Odd Function at Zero

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If \( f \) is an odd function and \( f(0) \) is defined, must \( f(0) = 0 \)?

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What you need first

The definition of an odd function
Basic algebraic manipulation

What this problem tests

Tests the student's ability to apply the formal definition of an odd function to a specific point.

This is a fundamental property of functions often introduced in precalculus or early calculus courses when discussing symmetry.

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