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

on a coordinate plane, a parabola opens up. it goes through (negative 6, 0), has a vertex at (negative 4, negative 4), and goes through (negative 2, 0).

what is true about the domain and range of the function?

the domain is all real numbers, and the range is all real numbers greater than or equal to –4.
the domain is all real numbers greater than or equal to
–4, and the range is all real numbers.
the domain is all real numbers such that –6 ≤ x ≤ –2, and the range is all real numbers greater than or equal to –4.
the domain is all real numbers greater than or equal to
–4, and the range is all real numbers such that –6 ≤ x ≤ –2.

  The domain is all real numbers, and the range is all real numbers greater than or equal to –4.

Step-by-step explanation:

The domain is the horizontal extent of the function. This one is defined for all real values of x.

The range is the vertical extent of the function. This one takes on any value greater than or equal to -4.

Thus, we can conclude ...

  The domain is all real numbers, and the range is all real numbers greater than or equal to –4.

i just took the test, the correct answer is .. 31.5 in.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.