Which statement is true about the graphed function?

a. f(x) < 0 over the interval (–∞, –4)

b. (x) < 0 over the interval (–∞, –3)

c. (x) > 0 over the interval (–∞, –3)

d. (x) > 0 over the interval (–∞, –4)

Choice D)

F(x) > 0 over the inverval (-infinity, -4)

Translation: The y or f(x) values are positive whenever x < -4.

Further Explanation:

Recall that y = f(x), so if we say something like f(x) < 0 then we mean y < 0. Choice A is false because points on the curve to the left of x = -4 have positive y coordinates. Similar reasoning applies to choice B as well.

Choice C is false because while the interval (-infinity, -4) is above the x axis, the portion from x = -4 to x = -3 is below the x axis.

Choice D is true because everything to the left of x = -4 is above the x axis. Pick any point on the blue curve that is to the left of x = -4. This point will be above the horizontal x axis. Keep in mind that the parenthesis notation attached to the -4 means we dont include -4 as part of the interval.

it is b)

hope this : )

step-by-step explanation:

i hope this is what you were looking for.

see attached graph