Which statement is true about the graphed function?
---
-
Hot
F(x) < 0 over the interval (-00, 4)
F(x) < 0 over the interval (-0, -3)
F(x) > 0 over the interval (-00, -3)
F(x) > 0 over the interval (-0, -4)

Question

contestada

Respuesta :

Аноним Аноним · Answer 1 · 2019-10-15T14:47:53+02:00

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

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

It is negative elsewhere, i.e. over the interval [tex](-4, \infty)[/tex]

So, the only correct option is the second one.

Answer Link

lublana lublana · Answer 2 · 2019-12-20T09:34:02+01:00

Answer:

D.F(x) >0 over the interval ([tex]-\infty,-4)[/tex]

Step-by-step explanation:

We have to find the true statement about graphed function.

A.F(x) <0 over the interval ([tex]-\infty,4[/tex])

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

B.F(x)<0 over the interval ([tex]-\infty,-3)[/tex]

It is not true because F(x)> 0 in interval ([tex]-\infty,-4)[/tex].

C.F(x) >0 over the interval [tex](-\infty,-3)[/tex]

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

D.F(x) >0 over the interval ([tex]-\infty,-4)[/tex]

It is true because F(x) >0 in interval [tex](-\infty,-4)[/tex]

Hence, option D is true.