luvmyticos2006 luvmyticos2006
  • 17-02-2020
  • Mathematics
contestada

Given this function: f ( x )=−2cos(4 πx ) Find the following:


Period = Equation of the mideline:




Maximum = Minimum =

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 24-02-2020

Answer:

Period =½

Equation of midline, y=0

Maximum =2

Minimum=-2

Step-by-step explanation:

The given function is

[tex]f(x) = - 2 \cos(4 \pi \: x) [/tex]

The period is given by:

[tex] \frac{2\pi}{b} = \frac{2\pi}{4\pi} = \frac{1}{2} [/tex]

The equation of the midline is y=0 since there is no vertical shift

The amplitude of this function is 2 so the range is -2≤y≤2.

Hence the maximum value is 2 and minimum value is -2

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