Question

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

Answer 1

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