which statement is true about the graphed function?\nf(x) < 0 over the interval (-∞, -4)\nf(x) < 0 over the…

which statement is true about the graphed function?\nf(x) < 0 over the interval (-∞, -4)\nf(x) < 0 over the interval (-∞, -3)\nf(x) > 0 over the interval (-∞, -3)\nf(x) > 0 over the interval (-∞, -4)

which statement is true about the graphed function?\nf(x) < 0 over the interval (-∞, -4)\nf(x) < 0 over the interval (-∞, -3)\nf(x) > 0 over the interval (-∞, -3)\nf(x) > 0 over the interval (-∞, -4)

Answer

Explanation:

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

Observe the (y) - values of the function for different (x) - intervals.

Step2: Check the interval ((-\infty,-4))

For (x\in(-\infty, - 4)), the graph of the function (y = F(x)) is above the (x) - axis, so (F(x)>0).

Step3: Check the interval ((-\infty,-3))

For (x\in(-\infty,-3)), when (x\in(-\infty,-4)), (F(x)>0) and when (x\in[-4,-3)), (F(x)<0).

Answer:

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