which statement is true about the graphed function?\no f(x) < 0 over the interval (-∞, -4)\no f(x) < 0 over…

which statement is true about the graphed function?\no f(x) < 0 over the interval (-∞, -4)\no f(x) < 0 over the interval (-∞, -3)\no f(x) > 0 over the interval (-∞, -3)\no f(x) > 0 over the interval (-∞, -4)

which statement is true about the graphed function?\no f(x) < 0 over the interval (-∞, -4)\no f(x) < 0 over the interval (-∞, -3)\no f(x) > 0 over the interval (-∞, -3)\no f(x) > 0 over the interval (-∞, -4)

Answer

Explanation:

Step1: Analyze the graph for $y = F(x)$ values

Observe the graph to see where $F(x)$ is above or below the $x$-axis.

Step2: Check the intervals

For $x\in(-\infty, - 4)$, the graph of the function $y = F(x)$ is above the $x$-axis, which means $F(x)>0$ for $x\in(-\infty,-4)$. For $x\in(-\infty,-3)$, part of the graph is above and part is below the $x$-axis.

Answer:

$F(x)>0$ over the interval $(-\infty, - 4)$