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Periodic functions: period, amplitude and axis

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Useful for: MCR3U MCF3M AP® Precalculus

Learn it A periodic function repeats its pattern every period. For a wave that goes between a maximum and a minimum: amplitude = (max − min)/2, equation of the axis y = (max + min)/2.

Example: A Ferris wheel seat goes from 2 m to 30 m above the ground every 80 s.

  1. Amplitude = (30 − 2)/2 = 14 m; axis y = 16; period 80 s.

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