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College Algebra / Unit 5   Alg 266 short lesson, about 20 seconds

Local Maxima and Minima

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The idea

A local maximum is an output larger than its neighbors on both sides; a local minimum is smaller than both — the turning points between rising and falling.

In practice

f(x) = x² turns once: a local minimum of 0 at x = 0, where decreasing hands off to increasing.

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