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

step-by-step explanation:

no of data

divide by no of mode

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)