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

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

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

Answer

Explanation:

Step1: Analyze the graph

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

Step2: Check the interval (-∞, - 4)

For (x\in(-\infty,-4)), the graph is below the x - axis, so (F(x)<0).

Step3: Check the interval (-∞, - 3)

The graph is below the x - axis for (x < - 4) and above the x - axis for (-4<x<-3), so (F(x)) is not always less than 0 nor always greater than 0 over ((-\infty,-3)).

Answer:

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