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stiks02 [169]
2 years ago
11

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Mathematics
1 answer:
julia-pushkina [17]2 years ago
6 0

With respect to the <em>parent</em> function y = cos x, we have these function according to the order of the graphs:

  1. cos x
  2. cos (1/2)x
  3. cos 4x
  4. cos 2x
  5. cos (1/4)x

<h3>How to find the functions corresponding to each graph based on the period of a function</h3>

Mathematically speaking, cosines are <em>periodic</em> functions and period (T) is the distance in the <em>horizontal</em> axis such that f(t + T) = f(t). The period of the <em>parent</em> <em>cosine</em> function is 2π. Period in <em>daughter</em> functions may vary by means of the following form:

y = cos Ax     (1)

Where:

  • x - Independent variable
  • y - Dependent variable
  • A - Period width

Please notice that <em>daughter</em> functions report periods <em>longer</em> than in the <em>parent</em> function for 0 < A < 1 and a <em>shorter</em> one for A > 1. In consequence, these functions appear in the following order:

  1. cos x
  2. cos (1/2)x
  3. cos 4x
  4. cos 2x
  5. cos (1/4)x

To learn more on periodic functions: brainly.com/question/26369761

#SPJ1

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