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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).

Which statement about the function is true?

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 < x < –2.
The function is positive for all real values of x where
x < –6 or x > –3.
The function is negative for all real values of x where
x < –2.

Respuesta :

The correct statement regarding the graph of the function f(x) = (x + 2)(x + 6) is given by:

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

What is the missing information?

The graph of the function f(x) = (x + 2)(x + 6) is missing, and is given at the end of the answer.

When a function is positive and when it is negative?

We have to look at the graph of the function relative to the x-axis, as follows:

  • A function is positive when it is above the x-axis.
  • A function is negative when it is below the x-axis.

Hence, for function f(x) = (x + 2)(x + 6), we have that:

  • It is positive for x < -6 and x > -2.
  • It is negative for -6 < x < -2.

Hence the correct statement for the signal of the function is given as follows:

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

More can be learned about functions at https://brainly.com/question/24808124

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