Answer:
[tex]\frac{3}{2\pi }[/tex].
Step-by-step explanation:
We can see that the given graph is represented by the function [tex]f(x) = \sin 3x.[/tex].
Now, we know that period of the [tex]f(x) = \sin 3x.[/tex] is [tex]2\pi[/tex].
Also, in a sinusoidal model of the form [tex]y=a\sin (b(x-c))+d[/tex], the period is given by [tex]\frac{2\pi }{|b|}[/tex].
Since, the given graph models the function [tex]f(x) = \sin 3x.[/tex].
Its period is given by [tex]\frac{2\pi }{3}[/tex].
Further, the frequency of a sinusoidal model is given by the reciprocal of its period.
Thus, the frequency of this model is [tex]\frac{3}{2\pi }[/tex].
