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.

Question

anonymous · Answer

i would say the following
two periods could be from $0$ to $4\pi$

anonymous · Answer

set $2x-\frac{\pi}{3}=0$ and set 
$$2x-\frac{\pi}{3}=2\pi$$ and solve for $x$

anonymous · Answer

do I not need the "y=5+3" part? @satellite73

anonymous · Answer

no

anonymous · Answer

oh i made a typo though damn

anonymous · Answer

set 
$$2x-\frac{\pi}{3}=0$$ and set 
$$2x-\frac{\pi}{3}=4\pi$$ since you want two full periods

anonymous · Answer

of course you could also use 
$$2x-\frac{\pi}{3}=-2\pi$$ and $$2x-\frac{\pi}{3}=2\pi$$ makes  no difference

anonymous · Answer

okay! then just solve for x correct? thanks! I just wasnt sure how to "explain my answer" lol I mean I graphed it but wasnt sure! Thanks!

anonymous · Answer

yw