The correct given equation is:
y = 5 + 3 cos 2 (x – π/3)
<span> To answer this
problem, we must remember that:</span>
y = A cos [w(x - π)], the period is 2 π / w and the phase shift is π (the
beginning of one period)
Rewriting the given equation to this form,
y = 5 + 3cos [2(x - π/3)]
Therefore,
period = 2 π / 2 = π<span>
phase shift = π /3 </span>
So to create two periods, you need an interval of
2 π <span>
If you start at π /3, you'll start and end at the max of the cos
function.</span>
Therefore,
[Xmin , Xmax] = [π /3 ,
7 π /3]
would create a complete graph of 2 periods.
ANSWER: [π /3 , 7 π<span> /3]</span>
