Which statement about the function is true?
the graph of the function f(x) = (x + 2)(x + 6) is shown
below.
the function is positive for all real values of x where
x> -4.
the function is negative for all real values of x where
-6 the function is positive for all real values of x where
x< -6 orx > -3.
the function is negative for all real values of x where
x < -2.
+
4
+2
+
246
x
4+
--6-

The function is negative for all real values of x where -6< x < -2

Step-by-step explanation:

Given f(x) = (x + 2)(x + 6)

The graph of the function is as shown in the attached figure.

As shown, we can deduce the following:

The function is positive for all real values of x where x > -2 and x < -6

The function is zero at x = -2 and x = -6

The function is negative for all real values of x where -6 < x <-2

Compare the observations to the given statements:

So, The true statement is The function is negative for all real values of x where -6 < x <-2

the answer is vanilla

step-by-step explanation:

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2