Question

consider g(x) = 3 sin 2x
write down the period of g

Answer 1

one wave length...

Answer 2

pick a starting point on the graph, when it repeats, that is one period

Answer 3

Consider the following equation:
f(x) = A sin(Bx)
The period T is given by:
\[\large T=\frac{2\pi}{B}\]
Now you should be able to state the period of g(x) = 3 sin(2x).