Question

Which statement is true about the graphed function?

Answer 1

A function is positive if it lies above the x axis.

This function is positive before x = -4, i.e. over the interval $(-\infty, -4)$

It is negative elsewhere, i.e. over the interval $(-4, \infty)$

So, the only correct option is the second one.

Answer 2

Answer:

D.F(x) >0 over the interval ($-\infty,-4)$

Step-by-step explanation:

We have to find the true statement about graphed function.

A.F(x) <0 over the interval ($-\infty,4$)

It is not true because in given graph the value of F(x) < 0 in interval ($-4,\infty,)$ and F(x)> 0 in interval ($-\infty,-4)$.

B.F(x)<0 over  the interval ($-\infty,-3)$

It is not true because F(x)> 0 in interval ($-\infty,-4)$.

C.F(x) >0 over the interval $(-\infty,-3)$

It is not true because F(x) < 0 when -4<x<-3

D.F(x) >0 over the interval ($-\infty,-4)$

It is true because F(x) >0 in interval $(-\infty,-4)$

Hence, option D is true.