Which statements about the graph of the function f(x) = –x2 – 4x 2 are true? check all that apply. the domain is {x|x ≤ –2}. the range is {y|y ≤ 6}. the function is increasing over the interval (–∞ , –2). the function is decreasing over the interval (−4, ∞). the function has a positive y-intercept.

we have that

using a graph tool

see the attached figure

statements

case a) The domain is {x|x ≤ –2}-------> Is False

the domain is all real numbers---------> the interval (-∞,∞)

case b) The range is {y|y ≤ 6}.------> Is True

The range is the interval (-∞,6]

case c) The function is increasing over the interval (–∞ , –2).-----> Is True

See the attached figure

case d)The function is decreasing over the interval (−4, ∞).-----> Is False

In the interval (-4,-2) the function is increasing and in the interval (-2,∞) the function is decreasing (See the attached figure)

case e)The function has a positive y-intercept.------> Is True

The value of y-intercept is