If the instructions for a problem ask you to use the smallest possible domain to completely graph two periods of y = 5 + 3 cos 2(x -pi/3), what should be used for xmin and xmax? explain your answer.

The smallest possible domain to completely graph two periods is either [0, 2π] or [-π, π].

Step-by-step explanation:

The period of cosine function [0, 2π].

The given function is

This function can be written as

         .... (1)

The general form of cosine function is

             .... (2)

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

From (1) and (2), we get

The period of given function is [0,π]. So, the smallest possible domain to completely graph two periods is either [0, 2π] or [-π, π].

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