College Algebra / Unit 5 Alg 285 short lesson, about 20 seconds
Even and Odd Functions
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The idea
An even function satisfies f(−x) = f(x), symmetric across the y-axis; an odd function satisfies f(−x) = −f(x), symmetric through the origin.
In practice
x² is even: (−2)² = 4 = 2². x³ is odd: (−2)³ = −8 = −(2³). Most functions are neither.
Where people slip
Test with −x before claiming either symmetry.
Your place on the trail
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