The graph of the function f(x) = 4(x + 6)(x + 2) is shown
below.
6
4
Which statement about the function is true?
The function is increasing for all real values of x
where
xs-4.
The function is increasing for all real values of x
where
-6 O The function is decreasing for all real values of x
where
x < -6 and where x>-2.
O The function is decreasing for all real values of x
where
x < -4.
2
46 -4
2.
4
6
X
х
6

The graph of the function fx 4x 6x 2 is shown below 6 4 Which statement about the function is true The function is increasing for all real values of x where xs4 class=

Respuesta :

Answer:

Step-by-step explanation:

expand

f(x)=-x²-8x-12

take derivitive

f'(x)=-2x-8

zero at x=-4

in x<-4, the derivitive is positive so the function is increasing

in x>-4, the derivitive is negative so the function is decreasing

increasing in (-infinity,-4)

decreasing in (-4,infinity)

first option

The true statement about the graph is (a) The function is increasing for all real values of x where x< -4

The equation of the function is given as:

[tex]f(x) = 4(x + 6)(x + 2)[/tex]

From the graph, we have the following highlights

  1. The values of the function increases from negative infinity till x = -4
  2. The values of the function decreases from x = -4

The above means that:

The function is increasing for all real values of x where x< -4

Hence, the true statement about the graph is (a)

Read more about quadratic graphs at:

https://brainly.com/question/7988424

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE