Find the period, range, and amplitude of the cosine function. y=-4 cos 8x

The period, range, and amplitude of the cosine function are , [-4,4] and 4 respectively.

Step-by-step explanation:

The given function is

            (1)

The general cosine function is

      (2)

where, A is amplitude, is period, C is phase shift and D is midline.

From (1) and (2), we get

We know that the value of cosine function lies from -1 to 1.

Multiply all sides by -4.

The range of the function is [-4,4].

Therefore the period, range, and amplitude of the cosine function are , [-4,4] and 4 respectively.