Even and Odd Functions
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State
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.
Show
x² is even: (−2)² = 4 = 2². x³ is odd: (−2)³ = −8 = −(2³). Most functions are neither.
Watch for
Test with −x before claiming either symmetry.
Builds on
- Nothing — this is a starting point.
Unlocks
- Nothing yet depends on this.