Question



Which statement is true about the graphed function? 

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

F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).

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

F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞)

Answer 1

Option A.

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.

Answer 2

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

Explanation:

Here f(x) represents the y axis.

The value of f(x) is negative over the intervals (-∞, -0.7) and (0.76, 2.5).

You can see in the graph f(x) below 0.

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

Hope this will helpful.

Thank you.