Question

Which statement is true about the graphed function?

Answer 1

Answer:

A) F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)

Step-by-step explanation:

Given graph represents the function F(x).

If the graph of F(x) is below the x-axis then F(x)<0.

If the graph of F(x) is above the x-axis then F(x)>0.

The graph of F(x) intersect the x-axis at -0.7, 0.76 and 2.5.

From the given graph it is clear that

F(x)<0 over the interval (-∞,-0.7).

F(x)>0 over the interval (-0.7,0.76).

F(x)<0 over the interval (0.76,2.5).

F(x)>0 over the interval (2.5,∞).

Since F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5), therefore, the correct option is A.