A certain sine function completes 2 full cycles over the interval [0,2π]. Which function rule could model this situation?

y = sin 2x

Step-by-step explanation:

The period of the straight sine function y = sin x is 2pi. If not just one but two full cycles appear on the interval [0,2π], then the function becomes

y = sin 2x. As a check, "find" the period of this new function:

Use the formula Period = 2pi/b, where b is the coefficient (2) of 2x in sin 2x.

We get: Period = 2pi/2, or just pi. This is correct; there are two full periods each of length pi.