Model the Curve with a Sine Function $P = 0.4$ And Its Range Is

Multiple Choice

Model the curve with a sine function.
Note that the period of the curve is $P = 0.4$ and its range is $[ - 3 , - 1 ]$ .

A) $f ( x ) = 2 - \sin x$
B) $f ( x ) = - 2 + 5 \sin x$
C) $f ( x ) = - 2 + \sin ( 5 \pi x )$
D) $f ( x ) = 2 - \sin ( 5 \pi x )$
E) $f ( x ) = - 2 + \sin ( \pi x )$