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].

whatare you sayig

step-by-step explanation:

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b