Question

Consider the trigonometric function f(x)=4cos(2x pi/2) +9

Answer 1

Answer:

Make use of your knowledge of the maximum and minimum of the cosine function. Then scale and translate according to the way that function is scaled and translated to make f(x).

Step-by-step explanation:

f(x) is the cosine function, multplied by 4 and with 9 added to the result.

The minimum of the cosine function is -1. Multiplying that by 4 gives -4, and adding 9 gives 5.

The maximum of the cosine function is +1. Multiplying that by 4 gives +4, and adding 9 gives 13.

The minimum and maximum of f(x) are 5 and 13, respectively.

Answer 2

Max and Min:

Max = 13

Min = 5

COS Standard Period

$2\pi$

COS Period with a multiplier of 2 on x

$\pi$

COS Period with a multiplier of 2 on x and a Phase Shift

Answer to period

$\frac{5}{4}\pi$

Step-By-Step Explanation:

Please view the image I have provided.