Answer:
The right choice is 4.
Step-by-step explanation:
The graph clearly shows that the function intersects the x-axis at x=-4.
Before x=-4, the graph of F(x) remains above the axis, while beyond x=-4, it drops below the axis.
This indicates the value of F(x) is greater than 0 prior to reaching x=-4 and is less than 0 afterwards. Hence, we conclude that:
1. F(x)>0 across the interval (-∞,-4).
2. F(x)<0 across the interval (-4,∞).
Since the statement "F(x)>0 over the interval (-∞,-4)" is true concerning the graphed function, the correct answer is therefore option 4.