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rosijanka [135]
3 years ago
5

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

Mathematics
1 answer:
Neporo4naja [7]3 years ago
4 0

Answer:

Period =½

Equation of midline, y=0

Maximum =2

Minimum=-2

Step-by-step explanation:

The given function is

f(x) =  - 2 \cos(4 \pi \: x)

The period is given by:

\frac{2\pi}{b}  =   \frac{2\pi}{4\pi} =  \frac{1}{2}

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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