Question

If the instructions for a problem ask you to use the smallest possible domain to completely graph two periods of y=5 + 3cos 2(x-pi/3) what should you use for the x min and x max

Answer 1

We need two periods so we need to cos go from 0 to 2π

x - pi/3 = 0

x = pi/3

x - pi/3 = 2pi

x = 2pi + pi/3

x = 7pi/3

xmin = pi/3

xmax = 7pi/3