Respuesta :

Answer:

Last option

[tex]F(x) > 0[/tex] over the interval (-∞, -4)

Step-by-step explanation:

Note that from -∞ to -4 the function F has a positive value, the graph is above the x-axis. So the first statement is false and the last is true.

[tex]F(x)> 0[/tex] over the interval (-∞, -4)

Then, from [tex]x = -4[/tex] the function F is negative. [tex](F(x) <0)[/tex]. But for [tex]x <-4[/tex],  [tex]F(x)> 0[/tex].

Therefore the second and third statements are false.

The only true statement is the last option