Which statement is true about the graphed function?

f(x) < 0 over the interval (–∞, –4)
f(x) < 0 over the interval (–∞, –3)
f(x) > 0 over the interval (–∞, –3)
f(x) > 0 over the interval (–∞, –4)

F(x) >0 over the interval (-∞, -4)

Step-by-step explanation:

The function y= f(x) shows the different values that y takes, when x varies. In the picturewe see that y takes possitive values (y>0) when x < -4 , point from which the function y takes negative values. Then y= f(x) >0 from -∞ to -4, which means that y= f(x) >0 over the interval (-∞, -4).

The answer is D

Step-by-step explanation:

Hopefully this helps you :)

pls mark brainlest  ;)

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb