The graph of the function f (x) = - (x + 6) (x + 2) is shown below.

Which statement about the function is true?

The function is increasing for all real values of x where

x < - 4.

The function is increasing for all real values of x where

-6 < x < - 2.

The function is decreasing for all real values of x where

x - 2.

The function is decreasing for all real values of x where

x < - 4.

Question

Mathematics

Case Clarke

16 July, 07:15

The graph of the function f (x) = - (x + 6) (x + 2) is shown below.

Which statement about the function is true?

The function is increasing for all real values of x where

x < - 4.

The function is increasing for all real values of x where

-6 < x < - 2.

The function is decreasing for all real values of x where

x - 2.

The function is decreasing for all real values of x where

x < - 4.

+2

Answers (2)

Know the Answer?

Payton Tapia · Answer 1

Yep it's the first option

Jose Nichols · Answer 2

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