Question

The graph of the function f(x)=-(x+6)(x+2) is shown below. What statement about the function is true ?

A.) the function is increasing for all real values of x
x < -4.
B.) the function is increasing for all real values of x where
-6 < x < -2.
C.) the function is decreasing for all real values of x where
x < -6 and where x > -2.
D.) the function is decreasing for all real values of x where
x < -4.

Answer 1

A

Explanation:

in x<-4 the derivative is positive so the function is increasing.

in x>-4 the derivative is negative so the function is decreasing

increasing in (-infinity,-4)

decreasing in (-4,infinity)