Answer:
D.F(x) >0 over the interval (![-\infty,-4)](https://tex.z-dn.net/?f=-%5Cinfty%2C-4%29)
Step-by-step explanation:
We have to find the true statement about graphed function.
A.F(x) <0 over the interval (
)
It is not true because in given graph the value of F(x) < 0 in interval (
and F(x)> 0 in interval (
.
B.F(x)<0 over the interval (![-\infty,-3)](https://tex.z-dn.net/?f=-%5Cinfty%2C-3%29)
It is not true because F(x)> 0 in interval (
.
C.F(x) >0 over the interval ![(-\infty,-3)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-3%29)
It is not true because F(x) < 0 when -4<x<-3
D.F(x) >0 over the interval (![-\infty,-4)](https://tex.z-dn.net/?f=-%5Cinfty%2C-4%29)
It is true because F(x) >0 in interval ![(-\infty,-4)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-4%29)
Hence, option D is true.