Question

which statement is true about the graphed function?
○ $f(x) < 0$ over the interval $(-\infty, -4)$
○ $f(x) < 0$ over the interval $(-\infty, -3)$
○ $f(x) > 0$ over the interval $(-\infty, -3)$
○ $f(x) > 0$ over the interval $(-\infty, -4)$

Explanation:

The graph shows the function F(x) is above the x-axis (F(x) > 0) for all x values less than -4. For x < -4, the function's graph lies in the upper half-plane relative to the x-axis, so F(x) > 0 over (-∞, -4). The other intervals either include x-values where F(x) ≤ 0 or misstate the sign.

Answer:

F(x) > 0 over the interval (-∞, -4)