Question

which statement is true about the graphed function?
○ $f(x) < 0$ over the intervals $(-\infty, -0.7)$ and $(0.76, 2.5)$.
○ $f(x) > 0$ over the intervals $(-\infty, -0.7)$ and $(0.76, 2.5)$.
○ $f(x) < 0$ over the intervals $(-0.7, 0.76)$ and $(2.5, \infty)$.
○ $f(x) > 0$ over the intervals $(-0.7, 0.76)$ and $(0.76, \infty)$.
(graph: a function graph with points $(-0.7, 0)$, $(0, 2)$, $(0.76, 0)$, $(1.9, -5.7)$, $(2.5, 0)$ plotted, showing the curves behavior across the x-axis.)

Explanation:

A function's graph is below the x-axis (F(x) < 0) where it lies under the x-axis. From the graph, the function is below the x-axis between -0.7 and 0.76, and to the right of 2.5. This matches the third option.

Answer:

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