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Which statement is true about the graphed function?

a) F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
b) F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
c) F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
d) F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞)

Which statement is true about the graphed function a Fx lt 0 over the intervals 07 and 076 25 b Fx gt 0 over the intervals 07 and 076 25 c Fx lt 0 over the int class=

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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.

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