Viral Chinese 2019 Gaokao Question

Gaokao 高考 = Baccalaureate = Cambridge GCE A-Level

Hint:

f(x+1) = 2f(x)
tells the height = f(x) double when x moves to x + 1
=> periodicity is 1

Like Sine or Cosine curves have periodicity of 2π.
sin (2π + A) = sin (A)

Ref: More complicated curve drawing by French Method.

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