which statement is true about the graphed function f(x)?\no f(x) < 0 over the intervals (-∞, -2.5) and…

which statement is true about the graphed function f(x)?\no f(x) < 0 over the intervals (-∞, -2.5) and (-0.75, 0.75).\no f(x) > 0 over the intervals (-∞, -2.5) and (-0.75, 0.75).\no f(x) < 0 over the intervals (-2.5, -0.75) and (-0.75, ∞).\no f(x) > 0 over the intervals (-2.5, -0.75) and (0.75, ∞).

which statement is true about the graphed function f(x)?\no f(x) < 0 over the intervals (-∞, -2.5) and (-0.75, 0.75).\no f(x) > 0 over the intervals (-∞, -2.5) and (-0.75, 0.75).\no f(x) < 0 over the intervals (-2.5, -0.75) and (-0.75, ∞).\no f(x) > 0 over the intervals (-2.5, -0.75) and (0.75, ∞).

Answer

Explanation:

Step1: Understand function values

The function (y = f(x)) is less than 0 when the graph is below the (x -)axis and greater than 0 when the graph is above the (x -)axis.

Step2: Identify intervals

The graph of (y = f(x)) is below the (x -)axis (i.e., (f(x)<0)) over the intervals ((-\infty,- 2.5)) and ((-0.75,0.75)). The graph is above the (x -)axis (i.e., (f(x)>0)) over the interval ((-2.5,-0.75)).

Answer:

A. (F(x)<0) over the intervals ((-\infty,-2.5)) and ((-0.75,0.75))