Question

which statement is true about the graphed function

Answer 1

From -∞ to -4 the blue line is above the X axis which means it is >0

The blue line is negative between -4 and -3

This would make the correct answer: F(x) > 0 over the interval (-∞,-4)

Answer 2

Answer:

The correct option is 4.

Step-by-step explanation:

From the given graph it is clear that the function intersect the x-axis at x=-4.

The graph of function F(x) lie above the axis before x=-4 and the graph of  function F(x) lie below the axis after x=-4.

It means the value of F(x) is greater than 0, before x=-4 and the value of F(x) is less than 0 after x=-4. So, we conclude that

1. F(x)>0 over the interval (-∞,-4).

2. F(x)<0 over the interval (-4,∞).

Since the statement "F(x)>0 over the interval (-∞,-4)" is true about the graphed function, therefore the correct option is 4.