Which statements about the graph of the function f(x) = –x2 – 4x 2 are true? check all that apply. the domain is x ≤ –2. the range is y ≤ 6. the function is increasing over the …

Question

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

Answer 1

B,C, & E

Explanation:

Answer 2

we have that

`f(x) = -x^(2) - 4x+ 2`

using a graph tool

see the attached figure

statements

case a) The domain is x-------> Is False

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

case b) The range is y.------> 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
`2`